Stability criteria for impulsive systems on time scales

Authors:
Yajun Ma;Jitao Sun
Affiliations:
Department of Mathematics, Tongji University, Shanghai 200092, PR China;Department of Mathematics, Tongji University, Shanghai 200092, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 7
Cited 1

Impulsive Systems and Control: Theory and Applications

Impulsive Systems and Control: Theory and Applications
Dynamic equations on time scales: a survey

Journal of Computational and Applied Mathematics - Dynamic equations on time scales
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Eventual practical stability of impulsive differential equations with time delay in terms of two measurements

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Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

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Stability and instability for dynamic equations on time scales

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On controllability and observability for a class of linear impulsive dynamic systems on time scales

Mathematical and Computer Modelling: An International Journal

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Abstract

In this paper we study stability of impulsive system on time scales. By using comparison method, Lyapunov function and analysis method, the asymptotic stability criteria for system with impulses at fixed times and impulses at variable times on time scales are obtained, respectively. An example is presented to illustrate the efficiency of proposed result.