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Lecture 13 Linear quadratic Lyapunov theory

Lecture 13 Linear quadratic Lyapunov theory

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• then solve a set of linear equations to find the (unique) quadratic form V(z) = zTPz • V will be positive definite, so it is a Lyapunov function that proves A is stable in particular: a linear system is stable if and only if there is a quadratic Lyapunov function that proves it Linear quadratic Lyapunov theory 13–11

  Quadratic, Lyapunov, Quadratic lyapunov

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