Global exponential stability of impulsive dynamical systems with distributed delays
Shujun Long, (1) Sichuan University, Chengdu, P. R. China; (2) Leshan Teachers College, Leshan, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 10. (2007), pp. 1-13.
Daoyi Xu, Sichuan University, Chengdu, P. R. China
Wei Zhu, Sichuan University, Chengdu, P. R. China
| Communicated by T. A. Burton. | Received on 2005-10-21 Appeared on 2007-04-21 |
Abstract: In this paper, the global exponential stability of dynamical systems with distributed delays and impulsive effect is investigated. By establishing an impulsive differential-integro inequality, we obtain some sufficient conditions ensuring the global exponential stability of the dynamical system. Three examples are given to illustrate the effectiveness of our theoretical results.
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