Global Exponential Stability of Impulsive Functional Differential Equations with Effect of Delay at the Time of Impulses
Keywords:
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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Published
2015-05-15
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Copyright (c) 2015 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.