This paper discusses the uniform eventual Lipschitz stability and uniform eventual asymptotic stability of impulsive differential system. Some criteria of such stability for impulsive differential system are given. Compared with the existing result, the condition is less conservative. Our technique depends on Lyapunov's direct method and comparison principle.

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.

In this paper, we consider practical stability of impulsive functional differential equations in terms of two measurements. Some sufficient conditions of uniform practical stability for functional differential equation with impulses are obtained by using piecewise continuous Lyapunov functions and Razumikhin techniques. An example illustrates the effectiveness of the proposed result.

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 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.