Exponential stability of the solutions of the initial value problem for systems with an impulse effect. (English) Zbl 0676.34035

The following three types of systems with impulse effects are considered:a) nonautonomous systems subjected to jumps at fixed points of time; b) the times of jumps depend on the state variable; c) the system is autonomous. Conditions are given under which the exponential stability of a given solution follows from the exponential stability of the respective system of variations.
Reviewer: L.Hatvani


34D20 Stability of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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[1] DOI: 10.1007/BF00945294 · Zbl 0612.34033
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