The paper deals with the problems of passivity and passification for stochastic systems with Markovianswitching and generally uncertain transition rates. The considered systems are more general, which cover uncertaintransition rates and partly known transition rates as two special cases. By employing the multiple Lyapunov functionand some free-weighting matrices, a state feedback controller is constructed such that the resulted closed-loopsystem is stochastically passive. Some sufficient conditions for the solution to the problem are derived in the formof linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the validity of the mainresults.
The paper deals with the problems of passivity and passification for stochastic systems with Markovianswitching and generally uncertain transition rates. The considered systems are more general, which cover uncertaintransition rates and partly known transition rates as two special cases. By employing the multiple Lyapunov functionand some free-weighting matrices, a state feedback controller is constructed such that the resulted closed-loopsystem is stochastically passive. Some sufficient conditions for the solution to the problem are derived in the formof linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the validity of the mainresults.