Consider the following nonlinear dynamic system, with a possible potential candidate function. Use the given Lyapunov function, us such function (Lyapunov Direct) approach to; (5 Marks): Show that th...
3 [15 pts Consider the Lorenz system given by xy-B2, z = where σ, ρ, β > 0 are constants. For ρ (0.1), using the Lyapunov function V(x, y, z) = ρ「2 + ơy2 + ơz?, show that the origin is globally asymptotically stable. (Hint. You may need to use the Invariance Principle as well.) στ 3 [15 pts Consider the Lorenz system given by xy-B2, z = where σ, ρ, β > 0 are constants. For ρ (0.1), using...
1. (This is problem 5 from the second assignment sheet, reprinted here.) Consider the nonlinear system a. Sketch the ulllines and indicate in your sketch the direction of the vector field in each of the regions b. Linearize the system around the equilibrium point, and use your result to classify the type of the c. Use the information from parts a and b to sketch the phase portrait of the system. 2. Sketch the phase portraits for the following systems...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Verify from the graph that the interval endpoints at zo and zi have opposite signs. Use the bisection method to estimate the root (to 4 decimal places) of the equation 5 marks] (c) Use the secant method to estimate the root (to 4 decimal places) of the equation 6 marks that lies between the endpoints given. (Perform...
second attempt. need asap please 2-4 sentences summarizing the article 4 interesting quotes from the article and 4 points explaining each quote In the first few years of the new millennium, at the height of the boom in the offshore call-center business, Tata Consultancy Services, the Indian technology-services giant, made the counterintuitive decision to divest its call-center operations. Why? Because although outsourced call centers were a fast-growing piece of its current business, TCS’s leadership had come to believe that they...
Read the Article posted below, then answer the following questions: Mergers & acquisitions are a major form of corporate diversification strategy, identify and discuss the top three reasons why most (50-60%) of acquisitions fail to create shareholder value. What are the five major components of “CEMEX Way” and why has this approach been so successful in post-acquisition integration? In your opinion, what can other companies learn from the “CEMEX Way” as a benchmark for acquisition management? Article: CEMEX: Globalization "The...
Please read the article and answer about questions. You and the Law Business and law are inseparable. For B-Money, the two predictably merged when he was negotiat- ing a deal for his tracks. At other times, the merger is unpredictable, like when your business faces an unexpected auto accident, product recall, or government regulation change. In either type of situation, when business owners know the law, they can better protect themselves and sometimes even avoid the problems completely. This chapter...