In this paper, we investigate the impulsive stabilization of certain delay differential equations with piecewise constant argument by using Lyapunov function and analysis methods. Some nonimpulsive systems can be stabilized by imposition of impulsive controls. We also give an example to demonstrate the effectiveness of the proposed control and stabilization methods. AMS Subject Classifications:...

K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...