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On the stability of invariant sets of systems with impulse effect. (English) Zbl 1145.34032
The stability of invariant sets of systems with impulse effect are investigated. The authors introduce the main definitions and prove a theorem on uniform asymptotic stability. Also prove a fundamental result on the conversion of the theorem about uniform asymptotic stability. The stability of invariant sets of periodic systems is discussed.
MSC:
34D20Stability of ODE
34A37Differential equations with impulses