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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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    Cited by:

    1. Zhao, Min & Wang, Xitao & Yu, Hengguo & Zhu, Jun, 2012. "Dynamics of an ecological model with impulsive control strategy and distributed time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(8), pages 1432-1444.
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    11. Bih-Yaw Shih & Chin-Jui Chang & Ying-Hsiu Chen & Chen-Yuan Chen & Yau-Dong Liang, 2012. "Lego NXT information on test dimensionality using Kolb’s innovative learning cycle," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 64(2), pages 1527-1548, November.
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    13. Chen, Cheng-Wu, 2009. "The stability of an oceanic structure with T–S fuzzy models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 402-426.
    14. Bih-Yaw Shih & Chen-Yuan Chen & Chung-Wei Chen & I Hsin, 2012. "Using Lego NXT to explore scientific literacy in disaster prevention and rescue systems," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 64(1), pages 153-171, October.
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