Delay-dependent robust control for uncertain stochastic systems with Markovian switching and multiple delays

The exponential stability in mean square and stabilization problems for Ito stochastic switched systems with multiple time-delays are investigated. The system possesses the normbounded uncertainties and Markovian jumping parameters. By using an effective descriptor model transformation of the system and applying It⊚s differential formula and Moon's inequality for bounding cross terms, a new delay-dependent sufficient condition is derived in terms of linear matrix inequalities, and its states feedback controller is designed. Numerical examples are given to illustrate the efficiency and less conservation of the results.