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Stability analysis of T–S fuzzy models for nonlinear multiple time-delay interconnected systems

Author

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  • Chen, C.W.
  • Chiang, W.L.
  • Hsiao, F.H.

Abstract

In this paper, the Takagi–Sugeno (T–S) fuzzy model representation is extended to the stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. In terms of Lyapunov’s direct method for multiple time-delay fuzzy interconnected systems, a novel LMI-based stability criterion which can be solved numerically is proposed. Then, the common P matrix of the criterion is obtained by LMI optimization algorithms to guarantee the asymptotic stability of nonlinear interconnect systems with multiple time-delay. Finally, the proposed stability conditions are demonstrated with simulations throughout this paper.

Suggested Citation

  • Chen, C.W. & Chiang, W.L. & Hsiao, F.H., 2004. "Stability analysis of T–S fuzzy models for nonlinear multiple time-delay interconnected systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 523-537.
    • Handle: RePEc:eee:matcom:v:66:y:2004:i:6:p:523-537
    DOI: 10.1016/j.matcom.2004.04.001
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