H ∞ state estimation for stochastic complex dynamical networks with random feedback gain variations and mixed delays

Abstract

This work explores the observer-based synchronisation problem for stochastic complex dynamical networks(CDNs) involving nonlinearities, exogenous input signals, and mixed delays. A non-fragile controller is designed and an observer is constructed to estimate the state vectors of the system under consideration. In particular, the gain fluctuations occur in a random manner obeying the Bernoulli distribution. The key intent of this work is to design a non-fragile controller so that the addressed network is asymptotically synchronised in the sense of mean-square under H ∞ attenuation performance. By resorting to the stochastic analysis technique and the theory of Lyapunov stability, the required stability criteria are obtained in terms of linear matrix inequalities(LMIs). Eventually, the efficacy and applicability of the theoretical findings are demonstrated through two numerical simulations.