Controllability and Observability of Linear Time-Varying Impulsive Systems on Time Scales

Abstract

This paper studies the problems of controllability and observability of a general linear time‐varying impulsive control systems on time scales. By proposing a formula of variation of parameters for this type of systems on time scales, several necessary and sufficient criteria on controllability and observability of the impulsive control system on time scales are established. It is shown that the classical results about controllability and observability of linear continuous impulsive systems can be generalized to the impulsive systems on time scales.