In this paper, we develop a new comparison principle on time scales, and give some new stability criteria for a class of impulsive hybrid systems.
Stability criteria for impulsive systems on time scales
โ Scribed by Yajun Ma; Jitao Sun
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 146 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
We establish some oscillation criteria for the two-dimensional dynamic system on a time scale T. Our results not only unify the oscillation of two-dimensional differential systems and difference systems, but include the oscillation results for differential systems and provide new oscillation criter