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Zbl 1185.93145
Tang, Yang; Fang, Jian-An; Xia, Min; Gu, Xiaojing
Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays. (English)
[J] Appl. Math. Modelling 34, No. 4, 843-855 (2010). ISSN 0307-904X

Summary: We propose and investigate a new general model of fuzzy stochastic discrete-time complex networks (SDCNs) described by Takagi-Sugeno (T-S) fuzzy model with discrete and distributed time-varying delays. The proposed model takes some well-studied models as special cases. By employing a new Lyapunov functional candidate, we utilize some stochastic analysis techniques and Kronecker product to deduce delay-dependent synchronization criteria that ensure the mean-square synchronization of the proposed T-S fuzzy SDCNs with mixed time-varying delays. These sufficient conditions are computationally efficient as it can be solved numerically by the LMI toolbox in Matlab. A numerical simulation example is provided to verify the effectiveness and the applicability of the proposed approach.

MSC 2000:: *93E15 Stochastic stability
93C42 Fuzzy control
60K30 Appl. of queueing theory
90B15 Flows in networks with stochastic elements
90C70 Fuzzy programming

Keywords: Takagi-Sugeno (T-S) fuzzy model; discrete-time complex networks; distributed time-varying delays; Kronecker product; stochastic disturbances

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