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

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  • Degang Xu
  • Weihua Gui
  • Panlei Zhao
  • Chunhua Yang

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.

Suggested Citation

  • Degang Xu & Weihua Gui & Panlei Zhao & Chunhua Yang, 2013. "Hybrid Synchronization of General T-S Fuzzy Complex Dynamical Networks with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:384654
    DOI: 10.1155/2013/384654
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