Delay-Dependent Robust Sampled-Data Stability for Markovian Jump Systems with Time-Delay

This paper considers robust stochastic stabilizability for a class of uncertain sampled-data systems with time-delay and randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. The closed-loop system is a hybrid one defined on a hybrid time space and a sample space. The delay-dependent sufficient conditions on robust stochastic stabilizability for sampled-data control systems with Markovian jumping parameters are proposed using the stochastic Lyapunov-Krasovskii stability theory. The sampled-data control problems can be constructed through a set of coupled linear matrix inequalities. Finally, the numerical example is given to demonstrate the proposed techniques.