CDS 140b Spring 2014 Homework 5

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R. Murray, D. MacMartin Issued: 7 May 2014 (Wed)
CDS 140b, Spring 2014 Due: 15 May 2014 (Thu)
__MATHJAX__
  1. Khalil, Problem 10.11
    • Hint: first analyze the portion of the system without forcing
  2. Khalil, Problem 10.12
  3. Khalil, Problem 11.22
    • Hint: Use $V(x) = \int_0^x (s + \eta(s)) ds$ as a Lyapunov function candidate for the reduced model.
  4. Khalil, Problem 11.25, part (a)