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Lyapunov-Razumikhin method for impulsive differential equations with ‘supremum’. (English) Zbl 1222.93199

Summary: The present paper deals with the investigation of the stability of the zero solution of impulsive differential equations with ‘supremum’. By means of piecewise continuous Lyapunov functions coupled with the Razumikhin technique sufficient conditions for stability, uniform stability and asymptotic stability of the zero solution of such equations are found.

MSC:

93D20 Asymptotic stability in control theory
93D30 Lyapunov and storage functions
93C15 Control/observation systems governed by ordinary differential equations
34H05 Control problems involving ordinary differential equations
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