Synchronization of IT2 stochastic fuzzy complex dynamical networks with time-varying delay via fuzzy pinning control |
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| Authors: | Huilan Yang Lan Shu Xin Wang Shouming Zhong |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, PR China;2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China;3. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China |
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| Abstract: | In this paper, the problem of synchronization on interval type-2 (IT2) stochastic fuzzy complex dynamical networks (CDNs) with time-varying delay via fuzzy pinning control is fully studied. Firstly, a more general complex network model is considered, which involves the time-varying delay, IT2 fuzzy and stochastic effects. More specifically, IT2 fuzzy model, as a meaningful fuzzy scheme, is investigated for the first time in CDNs. Then, with the aid of Lyapunov stability theory and stochastic analysis technique, some new sufficient criteria are established to ensure synchronization of the addressed systems. Moreover, on basis of the parallel-distributed compensation (PDC) scheme, two effective fuzzy pinning control protocols are proposed to achieve the synchronization. Finally, a numerical example is performed to illustrate the effectiveness and superiority of the derived theoretical results. |
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| Keywords: | Corresponding author |
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