Exponential Stability of Impulsive Delay Differential Equations by using Weight Function

[摘要] In present study, some sufficient conditions for the exponential stability of impulsive delay differential equations are obtained by introducing weight function in the norm and applying the concept of Lyapunov functions and Razumikhin techniques. The function ψ plays the role of weight and hence increases the rate of convergence towards stability. The obtained results are demonstrated with examples.

[关键词] Impulsive delay differential equations;Weighted exponential stability;Lyapunov functions;Razumikhin Techniques