Delay‐dependent robust stabilization for uncertain stochastic switching systems with distributed delays

This paper deals with the problem of robust stabilization for a class of uncertain stochastic switching systems with distributed delays. The purpose is to design a memory controller, which guarantees that the resulting closed‐loop system is mean‐square asymptotically stable. In terms of a set of linear matrix inequalities, a delay‐dependent condition is proposed and a robust memory controller is designed. Two numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society