A Converse Theorem for Exponential Stability using Piecewise Quadratic Lyapunov Functions
نویسندگان
چکیده
We present sufficient and necessary conditions for exponential stability of autonomous nonlinear dynamical systems using piecewise quadratic Lyapunov functions. The necessary conditions are given as a converse theorem guaranteeing the existence of a global piecewise quadratic Lyapunov function for an exponentially stable system.
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تاریخ انتشار 2007