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Delay-dependent stability of uncertain fuzzy large-scale systems with time delays

Author

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  • Liu, Xingwen
  • Zhang, Hongbin
  • Zhang, Fengli

Abstract

In this paper the delay-dependent stability problem of the Takagi–Sugeno fuzzy large-scale system with time delays and parametric uncertainties is considered. Two delay-dependent robust stability criteria are proposed in terms of linear matrix inequalities (LMIs) by using the Lyapunov–Krasovskii functional method. Generalized Park’s inequality is used to derive our results for bounding the cross term. Finally, numerical example is given to demonstrate the correctness and effectiveness of main theoretical results.

Suggested Citation

  • Liu, Xingwen & Zhang, Hongbin & Zhang, Fengli, 2005. "Delay-dependent stability of uncertain fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 147-158.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:147-158
    DOI: 10.1016/j.chaos.2004.12.031
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    Citations

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    Cited by:

    1. Lien, Chang-Hua & Yu, Ker-Wei & Chang, Deng-Hong & Chen, Wei-Da & Wan, Zhao-Lin & Chung, Yeong-Jay & Lu, Ming-Cheng, 2009. "H∞ control for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and nonlinear perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1426-1439.
    2. Guan, Zhi-Hong & Zhang, Hao & Yang, Shuang-Hua, 2008. "Robust passive control for Internet-based switching systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 479-486.
    3. Liu, Xingwen, 2007. "Passivity analysis of uncertain fuzzy delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 833-838.
    4. Hung, Meei-Ling & Yan, Jun-Juh, 2007. "Decentralized model-reference adaptive control for a class of uncertain large-scale time-varying delayed systems with series nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1558-1568.
    5. Yan, Huaicheng & Huang, Xinhan & Wang, Min & Zhang, Hao, 2007. "Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 997-1005.
    6. Yau, Her-Terng & Yan, Jun-Juh, 2009. "Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1515-1521.
    7. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Robust H∞ control for uncertain T–S fuzzy systems with state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 150-156.
    8. Yan, Huaicheng & Huang, Xinhan & Wang, Min & Zhang, Hao, 2008. "New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 157-165.
    9. Lin, Chong & Wang, Qing-Guo & Lee, Tong Heng, 2006. "Less conservative stability conditions for fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1147-1154.
    10. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.

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