Stability criteria for impulsive systems on time scales

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摘要

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.

论文关键词:34A37,34D20,Stability,Asymptotic stability,Time scale,Impulsive system,Lyapunov function

论文评审过程:Received 7 February 2006, Available online 21 February 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.01.040