Electronic Journal of Qualitative Theory of Differential Equations (Apr 2007)

Global exponential stability of impulsive dynamical systems with distributed delays

  • Shujun Long,
  • Daoyi Xu,
  • Wei Zhu

DOI
https://doi.org/10.14232/ejqtde.2007.1.10
Journal volume & issue
Vol. 2007, no. 10
pp. 1 – 13

Abstract

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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.