Robust H∞ control of random network systems with uncertainty and probabilistic sampling

In this paper, the problem of robust H_∞ control of network is investigated for a class of sampled-data stochastic system with parameter uncertainties. It is assumed that the parameter uncertainties are time-varying norm-bounded. The occurrence probabilities of the sampling intervals are given constants and the sampling periods satisfy Bernoulli distribution. By converting probabilistic sampling into time-varying delays, the concerned system is transformed into a continuous time-delay system. Then, sufficient conditions are derived to ensure the exponential mean-square stability of the system as well as the H_∞ norm is less than a given level. Furthermore, the expression of desired controller is obtained in terms of linear matrix inequalities. Finally, a illustrative example is exploited to show the effectiveness of the theoretical results.