Abstract
In this article, the non-fragile state estimation problem is investigated for a class of discrete time-delay nonlinear complex networks with both randomly occurring gain variations (ROGVs) and channel fadings. Two sequences of random variables obeying the Bernoulli distribution are employed to describe the phenomena of randomly occurring time-varying delays and ROGVs. Moreover, the phenomenon of channel fadings occurs in a random way and the fading probability is allowed to be uncertain but within a given interval. Through stochastic analysis and Lyapunov functional approach, sufficient conditions are derived for the existence of the desired estimator that guarantees both the exponential mean-square stability and the prescribed H-infinity performance of the estimation error dynamics. The explicit expression of such estimators is also characterized by resorting to the semidefinite programming technique. Finally, a simulation example is provided to show the usefulness and effectiveness of the proposed state estimation scheme.