Hybrid Synchronization of General T-S Fuzzy Complex Dynamical Networks with Time-Varying Delay

Degang Xu, Weihua Gui, Panlei Zhao and Chunhua Yang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

We propose and investigate a new general model of fuzzy complex network systems described by Takagi-Sugeno (T-S) fuzzy model with time-varying delays. Hybrid synchronization problem is discussed for this general T-S fuzzy complex dynamical network with nondelayed and delayed coupling between nodes. Utilizing Lyapunov-Krasovskii functional method, synchronization stability criteria for the networks are established in terms of linear matrix inequalities (LMIs). These criteria reveal the relationship between coupling matrices with time-varying delays and synchronization stability of the dynamical network. Numerical simulation is provided to illustrate the effectiveness and advantage of derived theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:384654

DOI: 10.1155/2013/384654

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