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Impulsive stabilization of dynamic equations on time scales. (English) Zbl 1474.34628

Summary: In this paper we study the impulsive stabilization of dynamic equations on time scales via the Lyapunov’s direct method. Our results show that dynamic equations on time scales may be \(\psi\)-exponentially stabilized by impulses. Furthermore, we give some examples to illustrate our results.

MSC:

34N05 Dynamic equations on time scales or measure chains
34A37 Ordinary differential equations with impulses
34D20 Stability of solutions to ordinary differential equations
39A12 Discrete version of topics in analysis
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