Exponential Stabilization of Time-Delayed Systems with Markovian Jumping

The exponentially stochastic stabilization problems for stochastic Markov jump systems (MJSs) with uncertain parameters and time-delays are considered. By selecting the appropriate Lyapunov-Krasovskii functional, it gives the sufficient condition such that the MJSs is exponentially stochastically stable and stabilizable. The stability and stabilization criteria are formulated in the form of linear matrix inequalities. Two numerical examples are exploited to illustrate the validity of the developed techniques.