American government Essay Example | Topics and Well Written Essays - 250 words - 2

American government - Essay ExampleThe ruling which opened the floodgates to unlimited corporate and union spending in elections was a major victory for the groups which wanted to participate in the campaign process but had been barred from doing so by the laws. On top of that the Supreme Court govern that donors need not to be disclosed and so it get out be no longer be possible to tell which interest groups are financing which politicians.I do not agree with the Supreme Courts ruling on this matter. By allowing the groups to give their independent contributions in the campaigns then they will be acting to manipulate the will of the people as with such funding they will be able to impose the candidate that they want to be voted for against the other candidates. This cannot be protected as free speech on the above argued basis. The contributions the groups make towards the campaigns should be regulated and the names of the contributors should be made earth so that they can shy of f from such expedition.By concentrating on the super PAC Stephen Colbert wanted to raise unlimited sums of money from corporations, unions and other groups as well as wealthy individuals. He specified that the money raised would not only be used for political ads but also for linguistic rule administrative expenses which would include private jet travels, hotel stays, and PAC mementos from Saks Fifth Avenue and Neiman Marcus. In this way Colbert was able to raise $1.02 million in their January 2012 filing with the federal Election Commission (FEC).The decision and the resulting Super PACs have the potential to increase ones ability to influence elections. By having the money it means that the shell strategies will be put into place and this will definitely have a positive impact on the results of the election.The increased amount of money cadaverous from outside sources will change the face of politics and the results as well. The groups funding the candidates will also have a s ay once the

Ottoman and Japanese Political Systems (c.1820-1920) Essay

blow and Japanese Political Systems (c.1820-1920) - Essay Exampleto the conquest of Varna and capture of Constantinople that make the Ottoman Empire as the oldest surviving empire of Europe within a century (Rahme 31).The old Ottoman Empire however exacerbated and became as the dud that we know today after it allied with Germany in the First World War. Prior to its dissolution attempts were made to improve its state in reconstituting its own political system but the reforms instituted were just too late to save the old Ottoman Empire.The Ottoman Empire decline begun with the series of war beginning with the attack of Egypt and Syria by Napoleon Bonaparte in 1798 to 1801. The intervention of the French, Russian and British due to the advances and occupation of Muhammad Ali Pashas army in Anatolia and Syria also precipitated its decline as it has grown weaker due to the war. The call for independence of the Greeks that eventually led to its independence as a self-governing nation a lso diminished its territory.European leaders however were concerned how will the Ottoman collapse will pose to the general peace. Such they made an attempt to maintain the Ottoman posit so as not to cause instability in their region. They agreed to maintain its integrity by reversing the potentially devastating results of war at the negotiating dining table and, in 1856, admitting the Ottoman state into the Concert of Europe (Quataert 56). Thus the European consensus then was to keep Ottoman state intact despite its weak elevation as an attempt to maintain it as a viable state.Internally, an attempt was made by Selim III and Mahmud II instituted drastic reform known as the Tanzimat or reform or reorganization as an effort to reinvigorate and reconstitute their own political systems. One of the main reason of the decline of Ottoman was its harsh and inept rule coupled with a bankrupt coffers and Tanzimat was implemented to address it. Hat-i Shariff launched the firstTanzimat in 1 839 where all persons banished or condemned to death

China High School Essay Example | Topics and Well Written Essays - 750 words

china High School - Essay ExampleShang society was based on aristocrats with a king on the head. He had a centralized power and also was military supreme. The religion at that time was paganism and was based on ancestor worship. People were in resentment by his ruling notwithstanding the king of the rival Zhou dry land that was a part of Shang kingdom killed him.So Zhou became the ruling dynasty (1066 - 256 BC) and that was the accomplishment of extension of the Chinese civilization. The territory that dynastys leaders had to cover was very large so due to the poor means of communication so they had to appoint spate to oversee each territory and at that time this territories began to shape into cities. The lords of the territories received their titles through inheritance. As Shang dynasty Zhou dynasty was also agricultural country. The religion was paganism. The main god was god of heaven Shang Ti that at that time was c onlyed Tien. The rulers of Zhou dynasty believed that th ey got their power to rule from heaven (Robert, 1999).In 770 BC the Zhou kings lost their territories that they had accredited to their lords. The lords rebelled and discomfited the capital. The new capital was formed in the farther East and the period of Eastern Zhou began. The territories became more powerful and there was economical growth crimson through the continuous war between the territories. This was also the time when China entered the Iron Age that had a great influence on the people carriage and also it helped to enhance state power. Also at the period of Eastern Zhou is famous because then was a golden age of Chinese philosophy. The virtually famous philosopher of that period is Confucius (Morton and Lewes, 2004 51).From the 4th century BC the state of Qin began to accumulate power and to reform its administration, economy and military. It grows stronger at the same time when Zhou kingdom weakened and died. Soon Qin conquered seven warring states and became the ruli ng dynasty (221 - 206 BC). The Qin dynasty was that one that put the beginning to China. The emperor wanted to conquer the warring states and he succeeded, so China became the united state. Also emperor pronounced himself as the first emperor of China or Shih Huang Ti. The first emperor unified China, standardized writing, weights, and measures throughout his kingdom. At this period was built the Great Wall of China. By this time the emperor became old and after the wrong treatment had died. Then followed the rebellion against the Qin dynasty that lead to the near dynasty the Han (221 - 206 AD). Liu Pang, took the control of the former Qin empire. He proclaimed himself emperor in 206 BC. He established the Han dynasty which would become the most durable dynasty of the imperial age. The Han Empire used all achievements of Qin dynasty and also modified politics. The Han Empire reached the peak of its development during the emperor Wu Ti (140 - 87 BC). He wanted to expand his kingdom but his reforms led to the disorder (Gascoigne, 2000 73).During a revolt Wang Ming - a courtier, deposed emperor and established short Xin dynasty. At this period slavery was abolished and he tried to rearrange land politics but it caused a large rebellion during which the emperor was killed

Pink Dream Room Essay Example for Free

intercept Dream Room EssayJust picture it, a plush room with gorgeous walls painted pink and the most creative room ever fashioned by an adolescent. Looking around you may conclude that a sociable soon enough boy crazy teenager lives here. When you first enter the space, the aroma of Moschino Cheap and Chic Fragrance, or Pink dreams body mist greets you delightfully, depending on which day of the week.Once, the bouquet smell has embraced you, you observe spotless brown wooden flooring partially covered by an exotic gorgeous rug. The baby pink walls suck up correct sections hidden by dozens of posters in different sizes and shapes showing my taste in music and my opinion in handsome boys or divas that I seem up to. Two large and one small window let in brightness to the cheery room but also let outsiders have a perfect view of my private room.A tall dark mahogany shelf stands adjacent to the trendiest red leather chair ever seen. indoors the shelf, sit rows of colorful sch ool textbooks and various books. Among those, rest Rebecca, The Giver, Anna Karenina, bibliographies and all sorts or interesting texts. On the other side of the gorgeous book shelf sits a matching desk.On the surface of the desk, sit a bright beautiful lamp adorned with flowers, a decorative desk organizer and my Dell laptop. The desk is usually covered in homework, magazines, art work and many uncommon things. Above the desk is one of the large windows, which is usually open to let light unto the desk when I work. The desk possesses seven drawers stuffed with mixed objects, ranging from school work to laptop supplies. On the ground beside the desk sits a radio/cd/tape player, which is inevitably always in use.Alongside the radio is my nightstand where my warning signal clock, cell phone, a decorative vase (I had acquired in Europe) and scented candles are set(p). At night the scented candles shadow dances along the walls and the flame puts a spell on me along with a soothing feel ing. Since I own this room, I inevitably have an enchanting pink queen size bed carefully placed in themiddle of the room.As you leave the closet, you have wandered all about my room leaving nothing else to explore. Now that you have caught a glimpse of my Pink Dream Room you can rest assured that I fancy and am devoted to my room.

The Power of Fate vs. Free

The Power of Fate vs. Free Will Essay1001 Nights has many another(prenominal) stories, with the same theme fate vs. free leave alone. In these stories several characters have to deal with the choices they make and their outcome. What is fate verse free will? Fate could be more destined to happen, as free will could be the ability to do what you want, and pursue your interests. In the spirit level, a? The Enchanted Horse,a? it was either fate or free will of man that decided the outcome of the story. In ancient times fate was considered to be part of sustenance. Almost every aspect of life was based upon fate. An example of fate in a?The Enchanted Horse,a? would be when the king did not allow the Indianas reward to marry the princess, so the Indian tricked the Prince into riding the horse. The Indian was locked away in prison by the King for allowing the prince to leave on the magic horse, Well, your head shall answer for it, re flecked the monarch, and if in deuce-ace month s he is not safe back with me, or at any rate does not send me news of his safety, your life shall pay the penalty. So saying, he ordered his guards to seize the Indian and throw him into prison. (Lane Pg 1).This quote from the story shows how this story could be choosing fate for not only the prince but also the Indian. This quote in one case said by someone can relate to this topic and story in several ways It is my fate to control my destiny, and it is my destiny to control my fate, large number have free will and can decide how their life turns out. Regarding kings, magic, and genies, mankind has the ability to control their lives. In the story the prince had the choice to fly around or go back home after discovering the switch on the horses neck but chose to find a princess instead.He then remembered that he had never waited to implore how he was to get back to again, and understood the danger in which he stood. Luckily, he did not lose his head, and set about examining the horses neck with great care, money box at last, to his intense joy, he discovered a tiny little peg, much smaller than the other, close to the right ear. This he turned, and found him-self dropping to the earth, though more slowly than he had left it. (Lane pg 2) Towards the end of the story he won over the princess by beating the kings large army.By the prince choosing free will he chose a cause and effect to take place. He chose to find a princess instead of willing able to return home. After reading the story it was hard to distinguish which is best, fate or free will. It is the enchanting story that keeps you wondering which will it be. Fate and free will both decide the turn out of the prince in this story. With the help of the magic, trickery, and kings in the story, that helped show the themes of fate and free will.

International Business and Global Strategy Essay Example for Free

International Business and Global St driftgy EssayIn-Depth Market Analysis of two mastermind foodstuffs China and genus Argentina China is a large world exporter receiving spacious amounts of foreign investment and is a member of the World Trade Organization (WTO). Entering the market therefore allow for be easier than when China was non part of the WTO. According to The World Fact Book (2010) by 2009, China had a universe of discourse of 1. 34 billion. Although its population growth is not very high at 0. 49, the population is the highest in the world and provides for ample market for Body store International Plc (BSI plc. ). China has an income distribution of 51. 10.This indicates that the distribution of purchasing power is standardized. BSI plc does not contain to specialize in its clientele and bath carry a wide market for its products. Chinas mean progress stands at 35. 2. In the age demographics, Chinas largest age bracket is the 15-64 yeas age category. Thi s makes up for 71. 9% of the population as in 2008 where men were estimated at 491,513,378 and women at 465,020,030 (The World Fact Book. 2010). For BSI plc this creates a large market since beauty products are usually consumed by this age group. In terms of education, China population is educated with a literacy rate of 92% (The World Fact Book. 010). The overall enrollment for elementary, secondary and higher education is at 69. 1. This is a good power that beauty products would be well received and are a part of the population that advise appreciate its use. Chinas growth of the Gross domestic help Product (GDP) was at 8. 70 in 2009. This GDP has been on a rising trajectory and is expected to continue as China continues to rise as an economic power. This provides for a secure market with good financial indicators that investment would respond chooseably and quickly. The per capita gross income at 6600. 0 is also high make it easier for BSI plc to invest widely.The disposable income at 2. 60 represents a Chinas purchasing power. BSI plc would be able to uphold its products and the conditions are favorable for household spending. The hold back rise in GDP growth will incr slake the spending habits of the population as the disposable income becomes more elastic. Inflation would negatively affect BSI plc and that is why the low inflation rate in China provides for market security against rising of costs. In china the population has continued to incr liberalization its cosmetics buying. At 46. 80 the population indicates a sizable spending on cosmetics.This creates a potential difference for BSI plc to garner a market share. China presents some difficulties in terms of ease of conducting concern and economic immunity. However, foreign investment is still welcome and the government has opened the doors for foreign investment. Argentina is one of the countries in South America that have been experiencing economic growth. It therefore presents itself as a great posterior market. Its population of in 2009 was 40. 1 Million. The population growth is not very high at 1. 17 but the country has a viable market population. Argentina has an income distribution of 51. 90.This indicates that the distribution of purchasing power is high and standardized. BSI plc therefore can anticipate a wide market for its products without having to cater for a specialize clientele. Argentinas mean age stands at 30. In the age demographics, Argentinas largest age bracket is the 15-64 years at 63. 5% with the men standing at 12,961,725 while the women stand at 13,029,265 (The World Fact Book. 2010). For BSI plc this creates a large market since beauty products are usually consumed by this age group. According to The World Fact Book (2010) Argentina population is educated with a literacy rate of 97. %. This is a good indicator that beauty products would be well received and are a part of the population that can appreciate its use. Argentinas growth of the Gross Domestic Product (GDP) was at 0. 20 in 2009. This GDP is low.This provides for a less secure market whereby BSI plcs investment may take longer to respond favorably and quickly. Despite the global economic crisis Argentina and most of the Latin America were not acutely affected. The per capita gross income at 10200. 0 is also high making it easier for BSI plc to invest widely. The disposable income at 1. 0 represents a moderate purchasing power for Argentina. BSI plc would be able to promote its products as the conditions give room for moderate household spending. Inflation would which would negatively affect BSI plc stands at 4. 20. In Argentina spending on cosmetics has also add-on although it is at 25. 40. This means BSI plc still has potential to make an investment in Argentinas existing market. At 127. 0 Argentina represents favorable ease with which BSI plc can do business in Argentina. It also has good economic freedom.Foreign investment is welcome. Contacts and Compet itive AnalysisContacts are important in that they would get out BSI plc to gather information that is relevant to its venture. That is why the chamber of commerce assists foreign companies conducting business their country. It also offers its members relevant business contacts and information about Argentina. Through events and opportunities the bedchamber also enables businesses to meet with government officials and key players thus facilitating relations. Contact with the ministry of foreign affairs is also important to BSI plc. The ministry is responsible for trade agreements and policies.By having the Ministrys contacts, BSI plc can make necessary plans to attend and benefit from the ministrys consular and diplomatic activities. As the ministry seeks businesses and companies that would increase investment in their country, BSI plc would have an opportunity to market itself to the bearing countries. Contacts of possible suppliers, importers and buyers are helpful so that a com pany can establish business relations within the industry. The choice of Alibaba association is ideal in that it is a recognizable global distributor with very strong financial and corporate growth according to Alibaba. om. (1999-2010).China Target Market potential The market potential in China is quite high at 2530500000. This is calculated from number of potential consumers, the frequency with which the consumers buy in a year and the price of the product. This represents the potential of the cosmetic industry in China which BSI plc targets. Company Sales Potential BSI plc sales events potential is dependent on the market share it will capture out of the potential market. If BSI plc secures a market share of 13. 5 %, it will estimate whether it can meet the demand of its target.Competitors AnalysisLush Company provides competition for BSI plc. According to Lush (19950-2010) its main product is body butter. The location of its headquarters is in China providing it with advantages of proximity. BSI plc is topical anestheticized and thus there are policies that favor it against foreign companies. This helps it keep its prices affordable. Lush has been in business for the past 32 years giving it long experience in the industry. Lush Company caters to the local market in China and has specialized in the product demands of the local population and tailored the product to suit the particular needs of the Chinese target market.Its employees number 1200 giving it good human resource. Lush has also invested in e-commerce offering customers its products even where it does not have retails and wholesaler stores. They vary their prices in result to the market. In their promotion strategy Lush aims to protect its reputation and maintain its image. Their products they have chosen to use to promote the quality of their product is care butter, Tuca Tuca perfume, Tuca Tuca manipulate oil, and Black stocking. Regulatory Environment for the industry In China, the regulator y environment would regulate cosmetic products.This is because although a company would use the Automatic import licensing granting its cosmetics products freedom from import controls, the importation of materials like plastic need monitoring. FDI regulations and implications for BSI plc China is becoming the greatest receipient of FDI and as such it is poised for economic growth and increased groovy that places BSI plc in a great position for growth if it makes investment. The government regulates foreign investment according to WTO regulations and its economic goals where China is now quite open to and is sharp-worded to attract foreign investors.Argentina Target Market potential The market potential in Argentina is high at 41250000. This is calculated from number of potential consumers, the frequency with which the consumers buy in a year and the price of the product. This represents the potential of the cosmetic industry in Argentina. Company Sales Potential BSI plc sales pote ntial is dependent on the market share it will capture out of the potential market. If BSI plc secures a market share of 3. 5 %, it will estimate whether it can meet the demand of its target.Competitors Analysis L Occitane Company provides competition for BSI plc. Its main product is mini shea butter/L Occitane body toner. According to The body Shop (2009) BSI plc deals with sweet almond oil in its moisturizers. The location of its headquarters is in Argentina providing it with advantages of proximity. BSI plc is localized and thus there are policies that favor it against foreign companies. This helps it keep its prices affordable. L Occitane has been in business for the past 34 years giving it long experience in the industry.L Occitane Company caters to the local market in Argentina and has specialized in the product demands of the local population and tailored the product to suit the particular needs of the Argentinean target market. Its employees number 2000 giving it great human resource. L Occitane has also invested in e-commerce offering customers its products even where it does not have retails and wholesaler stores. They vary their prices in response to the market. L Occitane uses advertising, personal sale and product promotions as its promotional strategy.The products it uses include shea cocoa butter, Almont body care, verbena liquid soup honey and lemon scented and summer Travil Hair care. Its target market is 14 years and above both male and female. Regulatory Environment for the industry In Argentina, one of the key regulations would be in business conduct and tradition. Companies have to publish their Technical barriers to trade (TBT) measures. It contains duty and obligations related to the business and operation of TBT investigation Points. Companies have to confirm their recognition of the Code of safe Practice.Argentina the Bureau of Customs is the governmental agency is strict in the enforcement of the tariff and Customs laws and regulatio ns. Importation of goods is governed by a numerous of import policy. FDI regulations and implications for BSI plc Argentina is currently not attracting much foreign investment due to its slow economic development and inflation rate. Although the government is using the WTO regulations and working hard to increase investment, there is difficulty for foreign companies because of high interest rates.

Stability and Control of Nonlinear Systems

Stability and Control of Nonlinear outlinesThe future(a) schema was provided to direct intimately passivity, asymptotic stability, and commentary to recount stability properties at curbs.The precondition corpse of dissimilarial equation for analysis is given belowAlso, The convey post type of the carcass is as follows. Let,Similarly therefrom found on the arranging equation is given bySimilarly, based on the state billet representation The state of system , where n=4, where m=2 and where p=2. Hence p=m. A dissipative system with respect to supply rate is express to be passive, ifThe Lyapunov function for the system is given asHence with respect to description of state variables, it bed be rewritten asHence,Also, based on the definition of S,For the given system , hence the lossless system, is passive from u to y.The PD feedback controller of the system with and is represented asHence the state space representation of the system, is given byThe modified Lyapu nov function with potential energy is given byIt shtup be detect that V(x) is divergentiable (V R4 R and a C1 function).Based on the equation of V(x) it can be observed that,The term and all other terms are quadratic in nature. Hence where Hence V(x) is irresponsible definite.Let V(x) is bounded by V(x)M, where M R, then it implies that and and and and Hence V(x) is radially measureless.The derivative of V(x) can be obtained as followsUpon substitution and solving the equations,At It can be observed thatBased on the supra equation, it can be observed thatIt can be observed that , has only quadratic terms with a prohibit sign prefixed hence where Hence is negative definite.The proportion organize of the system at is given byHence origin is the only equilibrium point of the system.Based on the in a higher place observations, it can be concluded that the system is world-widely asymptotically stable at the origin.The given systems were simulated for differen t values of and , modified one at a snip with other disturbance set to zero and the sign coach set at origin.The following observations can be found from subplots of and Hence the disturbance in two the coordinates of the system are additive in nature. It can be observed that, whenever initial state of the system set to origin and disturbance is induced in one of the coordinate ( or ), the other coordinate of the system is not disturbed. frame of reference 1 enjoin of System with disturbance at origin with rd=0Figure 2 State of System with disturbance at origin with thd=0The Figure 3 indicates the state of the system, when is modified from -5 to 5 with , with the initial condition as x = 7,3,5,1. The settling time of the system varies with the magnitude of disturbance and the initial condition. Also, it can be observed from the plot of that the system settles to a point which is offset from the origin (equilibrium) by the value of disturbance. Also, the settling time of the system is more(prenominal) for d=-c, when compared to d=c. Also, disturbance in one of the coordinate (), has its effect in another coordinate.Figure 3 State of System with rd=0 at x = 7,3,5,1The observations of disturbance induced in when , is applicable for the disturbance induced in with Also, it can be observed from Figure 4 that the settling time of the system is higher when a disturbance is induced in r-coordinate, when compared to -coordinate.Figure 4 State of System with thd = 0 at x = 7,3,5,1The effect of having both and was observed by simulating the system response for and . Also, it can be observed that settling time of the system is similar to disturbance induced only in the r-coordinate.Figure 5 State of System with thd = -5, rd=5 at x = 7,3,5,1In all the above plots, it can be observed from the subplot of that the settling point of state as t, and , indicating that the state of the system tracks the input in the respective coordinate.It can also be observed from the previous plots for d=0, system exhibits the property of global asymptotic stability to the origin (equilibrium point). Also, , the state implies the Bounded Input Bounded State property of the system.The input to state stability of the unlikable loop system with respect to and for the system was validated by adding a destabilizing feedback with and .The function k(x) of the disturbance is selected, such that the power transferred to the system is maximized, which can be performed when .From the above equation, it can be observed that the power transferred to the system can be maximized by choosing same sign of with c0. The nature of system response for different range of c is listed in the Table 1 below.Table 1 System Response for Variation in c at initial condition of 7,3,5,1Value of cObservationc 1.99The energy of the system decreases initially, indicated by the plot of Lyapunov function shown in Figure 6 and the same result can be observed on the plot of r and , w here the magnitude decreases initially and oscillates with the bounded magnitude, for the bounded input indicated in plot of theta-d.c1.99For c=5, the energy of the system increases, indicated by the plot of Lyapunov function shown in Figure 7 and the plot of r and indicates that the magnitude continues to increases resulting in unbounded state for the bounded input indicated in plot of theta-d. Also, it can be observed that the rate of increase in energy of the system, decreases with time.Figure 6 State of System at c=1.75The system is not Input to state stable (ISS) for c1.99 and Figure 7 indicates a system which is not ISS for c=5. The value of transition from bounded state to unbounded state was observed at c=1.93 for an initial point of 1,2,1,2. Based on the above observation, the transition value of c is dep balanceent of initial condition (energy) of the system.Figure 7 State of System at c=5The PD control used in the r-coordinate is modified asThe simulations were carried o ut, to identify the properties of ISS convenient by the system, with respect to and as inputs. All the simulations were carried out with respect to the initial condition x0 = (7,3,5,1) intend 1The system is evaluated with zero disturbance and , the result is indicated in Figure 8.Figure 8 System with Zero fretfulnessFor the no disturbance conditions, it can be observed that the system is asymptotically stable about the origin (equilibrium), indicating the Global asymptotic stability of the system about the origin. Also from the plot of Lyapunov function, it can be observed that the energy of the system settles down to zero.Condition 2The destabilizing feedback input used in question 5 for the system was fed to the system and it its response is indicated in figureFigure 9 State of System at c=5 with modified PD ControlThe following observations can be made with respect to figureFor an input , the state , indicating bounded input bounded state property of the system. It can be ob served that, though the energy of the system increases initially, but upper bounded everywhere a period. The energy and the state of the system gets bounded over period of simulation. Hence for the bounded input, state of the system is bounded. Also, the system exhibits property of asymptotic gain, since the state of the system is upper bounded by disturbance with gain of the system.Also, it was observed that though the system is ISS for the c=5, as the value of c increases energy of the system increases (example for c=10, v(x) is upper bounded to 10,000). Hence modifying the PD control, makes the system ISS for a larger range of disturbances, when compared to earlier control.Condition 3The system was fed with the inputFigure 10 State of system rd=0 and theta d=5*exp(t)It can be observed from the plot that d(t) 0 as , also aysmptotically. Hence the system indicates the property of converging input, converging state.The response of the system was evaluated with different possible i nputs for , such as, the state of the system x1, x3 was chosen based on observations made in earlier simulations (q5) where predominantly these states grew out of boundSimilarly, the above input conditions were simulated with =0 and defined as one of the input, few combinations of the above input disturbances and few possible system interconnections such as positive feedback interconnection, negative feedback interconnection, series interconnection.System response for various types of disturbance never-ending DisturbanceThe disturbance of the system is set to constant values, as indicated in Figure 5Figure 11 State of system at theta d=-5 rd=5It can be observed from the plot of Figure 11 and Figure 5 that the settling time of system in r-coordinate has reduced almost by half, when compared to previous control.Positive Feedback InterconnectionThe disturbance input condition is mentioned below and the system response is shown in Figure 12Figure 12 System Response for Positive Feedbac k InterconnectionThe state of the system indicates the converging nature, also it can be observed that after the transient period system follows the input. serial InterconnectionThe system is connected in series, with the following disturbance input configuration for each of the subsystem and the plot for the same is shown in Figure 13.Figure 13 System Response for Series InterconnectionIt can be observed that the behavior of the system is similar with respect to condition 2, but the energy of the system settles down at a higher level when compared to the similar condition with System with different disturbances acting simultaneouslyThe type of disturbance added to the system is given below and the response of the system is shown in figureFigure 14 System response of simultaneous time varying disturbanceIt can be observed that the system exhibit the property of bounded input bounded state, even if the disturbance is of time varying.In all the above simulation conditions, it was obse rved that the system exhibits bounded state nature for a wider range of inputs with higher magnitude, when compared to the PD control implemented earlier. This phenomenon can be attributed to the cubic terms with the negative sign, as it can reduce the rate at which energy of the system increases, before it goes out of bound.APPENDIXCode Used for Generation of PlotsContentsQ4 Constant Value of Theta-d and r-dQ5 for ISSQ6 for ISS with new u2Q4 Constant Value of Theta-d and r-dclcclear allclose allglobal x1dglobal x3dts=500 %Duration for solvingip=7,3,5,1options=odeset(AbsTol,1e-7,RelTol,1e-5)thd=-5rd=5for i=1size(thd,2) for j=1size(rd,2)%-293031 x1d=thd(i) %x1d is Theta-d x3d=rd(j) %x3d is r-d t,x=ode23(deeqn,0 ts,ip,options) figure(1) subplot(2,2,1) hold on plot(t,x(,1)) title(Plot of Theta) xlabel(Time) ylabel(Theta) grid on grid minor subplot(2,2,2) hold on plot(t,x(,2)) title(Plot of Theta-dot) xlabel(Time) ylabel(Theta-dot) grid on grid minor subplot(2,2,3) hold on plot(t,x(, 3)) title(Plot of r) xlabel(Time) ylabel(r) grid on grid minor subplot(2,2,4) hold on plot(t,x(,4)) title(Plot of r-dot) xlabel(Time) ylabel(r-dot) grid on grid minor endendQ5 for ISSclcclose allglobal x1dglobal x3dts=10000 %Duration for solvingip=7,3,5,1options=odeset(AbsTol,1e-7,RelTol,1e-5)x1=ip global c cval=1.92 %1.993 is transition point for i=1size(cval,2) c=cval(i) %4.0125 x1d=0 %x1d is Theta-d x3d=0 %x3d is r-d t,x=ode23(deeqnvx,0 ts,ip,options) figure(2) subplot(2,3,1) hold on plot(t,x(,1)) title(Plot of Theta) xlabel(Time) ylabel(Theta) grid on grid minor subplot(2,3,2) hold on plot(t,x(,2)) title(Plot of Theta-dot) xlabel(Time) ylabel(Theta-dot) grid on grid minor subplot(2,3,4) hold on plot(t,x(,3)) title(Plot of r) xlabel(Time) ylabel(r) grid on grid minor subplot(2,3,5) hold on plot(t,x(,4)) title(Plot of r-dot) xlabel(Time) ylabel(r-dot) grid on grid minor subplot(2,3,3) hold on thdin=c.*sign(x(,2)) plot(t,thdin) title(Plot of theta-d) xlabel(Time) ylabel(theta-dot) grid on grid minor subplot(2,3,6) hold on vxfn=(1/2).*(((x(,3).2)+1).*(x(,2).2)+(x(,4).2)+(x(,1).2)+(x(,3).2)) plot(t,vxfn) title(Plot Lyapunov mesh) xlabel(Time) ylabel(v(x)) grid on grid minor endQ6 for ISS with new u2clcclose allglobal x1dglobal x3dts=100 %Duration for solvingip=7,3,5,1options=odeset(AbsTol,1e-7,RelTol,1e-5)x1=ip global c cval=5 %1.993 is transition point for i=1size(cval,2) c=cval(i) %4.0125 x1d=0 %x1d is Theta-d x3d=0 %x3d is r-d t,x=ode23(deeqnr,0 ts,ip,options) figure(3) subplot(2,3,1) hold on plot(t,x(,1)) title(Plot of Theta) xlabel(Time) ylabel(Theta) grid on grid minor subplot(2,3,2) hold on plot(t,x(,2)) title(Plot of Theta-dot) xlabel(Time) ylabel(Theta-dot) grid on grid minor subplot(2,3,4) hold on plot(t,x(,3)) title(Plot of r) involvement for constant disturbancefunction dx = deeqn(t,x)% turn tail for system model% Argument function for ODE Solverglobal x1dglobal x3ddx=x(2) (-2*x(3)*x(4)*x(2)-x(2)-x(1)+x1d)/((x(3).2)+1)x(4)x(3)*(x(2).2)-x(4)-x(3)+x 3dendSystem with Destabilizing Feedbackfunction dx = deeqnvx(t,x)% Function for system model% Argument function for ODE Solverglobal x1dglobal x3dglobal cx1d=c.*sign((+1).*x(2))dx=x(2) (-2*x(3)*x(4)*x(2)-x(2)-x(1)+x1d)/((x(3).2)+1) x(4) x(3)*(x(2).2)-x(4)-x(3)+x3dendFunction with new u2 and old u1function dx = deeqnr(t,x)% Function for system model% Argument function for ODE Solverglobal x1dglobal x3dglobal cx1d=x(4)%c.*sign((+1).*x(2))x3d=x(2)dx=x(2) (-2*x(3)*x(4)*x(2)-x(2)-x(1)+x1d)/((x(3).2)+1)x(4)x(3)*(x(2).2)-x(4)-x(3)+x3d-(x(3).3)+(x3d.3)endPublished with MATLAB R2016b