Electronic Journal of Qualitative Theory of Differential Equations (Apr 2007)
Global exponential stability of impulsive dynamical systems with distributed delays
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.