Stability analysis and robust H ∞ control of switched stochastic systems with time-varying delay

The problems of mean-square exponential stability and robust h ∞ control of switched stochastic systems with time-varying delay are investigated in this paper. based on the average dwell time method and gronwall-bellman inequality,a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (lmis). then,h ∞ performance is studied and robust h ∞ controller is designed. finally,a numerical example is given to illustrate the effectiveness of the proposed approach. © copyright 2012 zhengrong xiang and guoxin chen.