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BIBO Stability Analysis for Delay Switched Systems with Nonlinear Perturbation

Author

Listed:
  • Jincheng Wei
  • Peng Shi
  • Hamid Reza Karimi
  • Bo Wang

Abstract

The problem of bounded‐input bounded‐output (BIBO) stability is investigated for a class of delay switched systems with mixed time‐varying discrete and constant neutral delays and nonlinear perturbation. Based on the Lyapunov‐Krasovskii functional theory, new BIBO stabilization criteria are established in terms of delay‐dependent linear matrix inequalities. The numerical simulation is carried out to demonstrate the effectiveness of the results obtained in the paper.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:738653
    DOI: 10.1155/2013/738653
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    References listed on IDEAS

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    1. Li, Ping & Zhong, Shou-ming & Cui, Jin-zhong, 2009. "Delay-dependent robust BIBO stabilization of uncertain system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1021-1028.
    2. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.
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    Cited by:

    1. 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).
    2. Xia Zhou & Shouming Zhong, 2013. "Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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