Stochastic stability criterion for sampled-data control systems via average dwell-time approach

For a sampled-data control system with nonuniform sampling, the sampling interval sequence, which is continuously distributed in a given interval, is described as a multiple independent identically distributed process. The closed-loop system is transformed into an asynchronous dynamical impulse model with input delay. By average dwell-time approach, sufficient conditions for the closed-loop exponential stability are presented in terms of LMIs, and the relation between the uncertain sampling and the stability of the closed-loop system is explicitly established. Numerical examples and experiment results are given to show the effectiveness and advantages of our theoretic results.