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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. Cheng-Wu Chen & Kevin Liu & Chun-Pin Tseng & Wen-Ko Hsu & Wei-Ling Chiang, 2012. "Hazard management and risk design by optimal statistical analysis," 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 1707-1716, November.
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    4. Wen-Ko Hsu & Wei-Ling Chiang & Qiang Xue & Dung-Mou Hung & Pei-Chun Huang & Cheng-Wu Chen & Chung-Hung Tsai, 2013. "A probabilistic approach for earthquake risk assessment based on an engineering insurance portfolio," 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. 65(3), pages 1559-1571, February.
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    6. 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.
    7. 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.
    8. Cheng-Wu Chen & Ching-Chung Lee & Chia-Hung Chen & Chun-Pin Tseng, 2013. "The integration of nautical hazard assessment and harbor GIS models to the Taichung Port area in Taiwan," 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. 67(2), pages 275-294, June.
    9. 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.
    10. Cheng-Wu Chen & Ching-Chung Lee & Chun-Pin Tseng & Chia-Hung Chen, 2013. "Application of GIS for the determination of hazard hotspots after direct transportation linkages between Taiwan and China," 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. 66(2), pages 191-228, March.
    11. C. Chen & T. Chen & Y. Chen & S. Yu & P. Chung, 2013. "Storm surge prediction with management information systems: A case study of estimating value and observations system," 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. 66(2), pages 1009-1027, March.
    12. Cheng-Wu Chen & Chun-Pin Tseng & Wen-Ko Hsu & Wei-Ling Chiang, 2012. "A novel strategy to determine the insurance and risk control plan for natural disaster risk management," 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 1391-1403, November.
    13. Cheng-Wu Chen & Kevin Liu & Meng-Lung Lin & Chun-Pin Tseng, 2013. "A new viewpoint of hazard assessment and management for Taiwan’s insurance issues," 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. 65(1), pages 303-314, January.
    14. 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.

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