Global Exponential Stability of Impulsive Functional Differential Equations with Effect of Delay at the Time of Impulses
impulsive delay differential systems, lyapunov function, razumikhin technique, global exponential stability
Abstract
This paper studies the global exponential stability of impulsive functional differential system with the effect of delay at the time of impulses by using Lyapunov functions and Razumikhin technique. This result extends some results existing in the literature. The obtained result also shows that the derivative of Lyapunov function may not be negative even then impulses can make the system globally exponentially stabilized.
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2015-10-15
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