Hybrid-driven finite-time H∞ sampling synchronization control for coupling memory complex networks with stochastic cyber attacks

Abstract

This paper proposes a new hybrid-driven (HD) sampling control strategy to investigate the finite-time (FT) H∞ synchronization issue for complex networks with stochastic cyber attacks (SCAs) and random memory information exchanges (RMIEs). The HD control scheme with random switching memory storage which is described by independent Bernoulli variables, is employed to alleviate the burden of the network. Different from the existing work, a novel memory interconnection Lyapunov–Krasovskii functional (LKF) is structured by taking full advantage of more information of sampling interval and state, and developing some new terms. Moreover, by utilizing the integral inequality treatment techniques together with stochastic analysis methods, several optimized control algorithms (OCAs) with a larger sampling period (LSP) are established for analyzing the FT synchronization issue of homologous error system with the optimal performance index. Then, the desired controllers can be synthesized by resorting to some matrix inequalities. Finally, the chua’s circuit model is presented to demonstrate the feasibility and validity of the proposed strategies.