Delay-dependent filtering of a class of switched discrete-time state delay systems

Abstract: In this paper, the problem of delay-dependent filtering for a class of discrete-time switched systems with state delays is investigated under arbitrary switching using a parametrized approach. Attention is focused on the design of asymptotically stable filter guaranteeing a prescribed noise attenuation level in the sense. By using switched Lyapunov functionals, sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs), the solution of which constructs the desired filter under arbitrary switching. Numerical examples are provided to demonstrate the effectiveness of the proposed techniques. [Copyright &y& Elsevier]