Learning goals

Knowledge (remember and understand)

  • Restricting to a hybrid automaton with linear dynamics in each mode, formulate the problem of finding a CQLF as a linear matrix inequality.
  • Explain the S-procedure and show how it can be used to formulate the problem of a piecewise quadratic Lyapunov function?

Skills (use the knowledge to solve a problem)

  • Analyze stability of a switched linear system using a piecewise quadratic Lyapunov function.
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