On stability of linear systems with time-varying delays subject to impulsive perturbations

In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems with time-varying delays and impulsive effects.We also use some illustrative numerical results to demonstrate the workability of our theoretical findings.