This paper considers the stability of the zero solution of impulsive delay differential equations with impulses at variable times. By means of Lyapunov functions and the Razumikhin technique, some sufficient conditions of uniform stability and uniform asymptotic stability for the delay differential equation with impulses at variable times are obtained.

Using the matrix measure and delay differential inequality, the sufficient conditions wereobt Mned for exponential stability of interval dynamical system With multidelay. These conditions are on improvement and extension of the results achieved in earlier papers presented bv LIAO, LIU, ZHANG, SUNt et al.

In this paper we introduce a new stability-eventual practical stability for impulsive differential equations with time delay. By using Lyapunov functions and comparison principle, we will get some criteria of eventual practical stability, eventual practical quasistability and strong eventual practical stability for impulsive differential equations with time delay in terms of two measurements.

This paper derives some suffcient conditions for the stabilization and synchronization of n-scroll attractors via impulsive control with varying impulsive intervals. Some su cient conditions for the stabilization and synchronization of n-scroll attractors are obtained. The results are illustrated to be ecient through a numerical example and simulation results.

Based on the Lyapunov stabilization theory, matrix measure, and linear matrix inequality (LMIs), this paper proposes some simple generic criteria of global synchronization between two coupled delay-systems from a unidirectional linear error feedback coupling approach.