Dissipative control for discrete singular impulsive dynamical systems

The aim of this work is to study the dissipative control problem for discrete singular impulsive dynamical systems. We start by introducing the impulse to the discrete singular systems, and give the definition of the dissipation for discrete singular impulsive dynamical systems. Then we discuss the dissipation of discrete singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of these systems by solving some linear matrix inequalities(LMIs). By using this method, we design a state feedback controller to make the closed-loop system dissipative. At last, we testify the feasibility of the method by a numerical example.