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On Delay Independent Stabilization Analysis for a Class of Switched Large‐Scale Time‐Delay Systems

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  • Chi-Jo Wang
  • Juing-Shian Chiou

Abstract

In view of the state‐driven switching method, the sufficient stability conditions with delay independence will be derived for the switched large‐scale time‐delay systems. A new stability criterion of switched large‐scale time‐delay systems is deduced by Lyapunov stability theorem. The method can be applied to cases when all individual switched systems are unstable. Finally, one example is exploited to illustrate the proposed schemes.

Suggested Citation

  • Chi-Jo Wang & Juing-Shian Chiou, 2013. "On Delay Independent Stabilization Analysis for a Class of Switched Large‐Scale Time‐Delay Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:849578
    DOI: 10.1155/2013/849578
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    References listed on IDEAS

    as
    1. Chi-Jo Wang & Juing-Shian Chiou, 2013. "A Stability Condition with Delay‐Dependence for a Class of Switched Large‐Scale Time‐Delay Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Shipei Huang & Zhengrong Xiang & Hamid Reza Karimi, 2013. "Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Yi Zhang & Yile Zhang & Jinghao Li & Baoyan Zhu, 2013. "Dissipative Output Tracking Control of Linear Systems with Time Delay," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    4. Shipei Huang & Zhengrong Xiang & Hamid Reza Karimi, 2013. "Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, May.
    5. Yali Dong & Shengwei Mei & Xueli Wang, 2011. "Novel Stability Criteria of Nonlinear Uncertain Systems with Time‐Varying Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    6. Jincheng Wei & Peng Shi & Hamid Reza Karimi & Bo Wang, 2013. "BIBO Stability Analysis for Delay Switched Systems with Nonlinear Perturbation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    7. Chi-Jo Wang & Juing-Shian Chiou, 2013. "A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, April.
    8. Gaohang Yu & Shanzhou Niu & Jianhua Ma & Yisheng Song, 2013. "An Adaptive Prediction‐Correction Method for Solving Large‐Scale Nonlinear Systems of Monotone Equations with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    9. Gaohang Yu & Shanzhou Niu & Jianhua Ma & Yisheng Song, 2013. "An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, May.
    10. Jincheng Wei & Peng Shi & Hamid Reza Karimi & Bo Wang, 2013. "BIBO Stability Analysis for Delay Switched Systems with Nonlinear Perturbation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Yi Zhang & Yile Zhang & Jinghao Li & Baoyan Zhu, 2013. "Dissipative Output Tracking Control of Linear Systems with Time Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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