Delay-Dependent H∞ Synchronization for General Delayed Complex Networks with Stochastic Disturbances
TU Lilan, YIN Shuifang Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065, Hubei, China
In this paper, the H∞ synchronization is intensively investigated for general delayed complex dynamical networks. The network under consideration contains unknown but bounded nonlinear coupling functions, time-varying delay, external distur- bances, and Itô-type stochastic disturbances, which is a zero-mean real scalar Wiener process. Based on the stochastic Lyapunov stability theory, Itô’s differential rule, and linear matrix inequality (LMI) optimization technique, some delay-dependent H∞ synchro- nization schemes are established, which guarantee robust stochas- tically mean square asymptotically synchronization for drive net- work and noise-perturbed response network as well as achieving a prescribed stochastic robust H∞ performance level. Finally, de- tailed and satisfactory numerical results have validated the feasi- bility and the correctness of the proposed techniques.
Key words:delay-dependent H∞ synchronization; general de- layed complex networks with stochastic disturbances; linear ma- trix inequality (LMI); mean- square stability
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