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Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. (English) Zbl 0927.34034
Stability and stabilizability properties for systems with discontinuous right-hand side by means of locally Lipschitz continuous and regular Lyapunov functions are investigated. The solution of these systems is intended in Filippov’s sense. The stability results are obtained in a more general context of differential inclusions. Concerning stabilizability the authors focus on systems affine with respect to the input. They obtain some sufficient conditions for a system to be stabilized by means of feedback law of Jurdevic-Quinn type.

MSC:
34D20 Stability of solutions to ordinary differential equations
93D15 Stabilization of systems by feedback
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