CDS 140b Spring 2014 Homework 3

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R. Murray, D. MacMartin Issued: 21 Apr 2014 (Wed)
CDS 140b, Spring 2014 Due: 1 May 2014 (Thu)
__MATHJAX__
  1. Khalil, Problem 4.35
  2. Khalil, Problem 4.39
  3. Khalil, Problem 4.57
  4. Khalil, Problem 5.1
  5. Khalil, Problem 5.13
  6. Khalil, Problem 5.16
    • Hint: Try using the Lyapunov function $$V(x) = \int_0^{x_1} \sigma(y) dy + \frac{1}{2} (x_1^2 + x_2^2)$$.
  7. Khalil, Problem 5.23