Finite-Time Synchronization of Chaotic Complex Networks with

: This paper is concerned with the problem of finite-time synchronization incomplex networks with stochastic noise perturbations. By using a novel finite-timeL-operator differential inequality and other inequality techniques, some novel sufficientconditions are obtained to ensure finite-time stochastic synchronization for the complexnetworks concerned, where the coupling matrix need not be symmetric. The effectsof control parameters on synchronization speed and time are also analyzed, and thesynchronization time in this paper is shorter than that in the existing literature. The resultshere are also applicable to both directed and undirected weighted networks without anyinformation of the coupling matrix. Finally, an example with numerical simulationsis givento demonstrate the effectiveness of the proposed method.Keywords: chaotic complex networks; finite-time synchronization; stochasticsynchronization; L-operator differential inequality; stochastic disturbance1. IntroductionIn recent years, complex networks have been shown to exist in many different areas in the realword [1], such as Internet networks, the Word Wide Web, food chains, relationship networks, andso on. A complex network is composed of a set of interconnected nodes, where the nodes andconnections can represent anything. According to different ways of connections and whether there are