Exponential stability for impulsive delay differential equations by Razumikhin method

Abstract In this paper, we study exponential stability for impulsive delay differential equation of the form x ˙ ( t ) = f ( t , x t ) , t ≠ t k , Δ x ( t ) = I k ( t , x t − ) , t = t k , k ∈ N . By employing the Razumikhin technique and Lyapunov functions, several exponential stability criteria are established. Some examples are also discussed to illustrate our results.

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