Exponential Stability of Hybrid Systems Using Piecewise Quadratic Lyapunov Functions Resulting in Lmis
نویسندگان
چکیده
Exponential stability of hybrid systems using a Lyapunov approach is considered in this paper. The continuous part of the hybrid system is described by nonlinear differential equations that depend on a discrete state. The discrete state changes when certain switch sets are reached. By using piecewise quadratic forms of the Lyapunov function candidates, it is shown how the stability conditions can be formulated as linear matrix inequalities (LMIs) and a nonlinear optimization problem. An example illustrates the method. Copyright c 1999 IFAC
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