ABSTRACT
In this paper, the guarantee cost control problem is studied for a class of discrete-time switched system with state delays and parameters uncertainties. Different from the existing methods of analysis of switching systems, we construct a new type of switching system model by using sojourn probability information. Considering the uncertainties of the system parameters, sufficient conditions of both quadratic stability and the existence of guaranteed cost control law of the system are derived in terms of the linear matrix inequality method. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
