Controllability and observability for a class of time-varying impulsive systems on time scales

Abstract

The aim of this paper is to study the controllability and observability for a class of linear time-varying impulsive control systems on time scales. Sufficient and necessary conditions for state controllability and state observability of such systems are established. The corresponding criteria for time-invariant impulsive control systems on time scales are also obtained.

Keywords

• time scale
• linear impulsive control system
• controllability
• observability