A new approach to exponential stabilization for a class of nonlinear networked systems with stochastic delays

A new approach to exponential stabilization for a class of nonlinear networked systems with stochastic delays is given in this paper. By using the fuzzy T-S method, a new model of nonlinear networked control systems with is derived. The networked induced delays are assumed to have some stochastic characteristics. A stochastic variable satisfying Bernoulli distribution is introduced with the probability of the delays taking value in different interval. With the Lyapunov stability theorem, a exponential stabilization condition and a state feedback controller design method are obtained. And all the conditions are expressed in terms of LMI. Finally, a numerical example is given to demonstrate the validity of the results.