Stabilization for Decomposable Dissipative Discrete-time Switched Systems

Abstract

This paper investigates stabilization issue for decomposable dissipative discretetime switched systems. Firstly, the decomposable dissipativity is discussed for discrete-time switched systems (DSS). Then, uniform stabilization conditions are derived for a ?-geometric decomposable dissipative DSS. The results are then specialized to the linear DSS with quadratic supply rate. The linear matrix inequality (LMI) conditions for ?-geometric dissipativity are derived. These LMI conditions are used to design feedback controllers to stabilize uniformly the linear ?-geometric decomposable dissipative DSS. Finally, one example is given for illustration.