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Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

Author

Listed:
  • Zixin Liu
  • Shu Lü
  • Shouming Zhong
  • Mao Ye

Abstract

The problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov‐Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.

Suggested Citation

  • Zixin Liu & Shu Lü & Shouming Zhong & Mao Ye, 2009. "Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:294845
    DOI: 10.1155/2009/294845
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    References listed on IDEAS

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    1. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
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    3. Zhang, Jinhui & Shi, Peng & Qiu, Jiqing, 2008. "Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 160-167.
    4. Li, Chuandong & Chen, Jinyu & Huang, Tingwen, 2007. "A new criterion for global robust stability of interval neural networks with discrete time delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 561-570.
    5. Liu, Duyu & Zhong, Shouming & Xiong, Lianglin, 2009. "On robust stability of uncertain neutral systems with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2332-2339.
    6. Li, Hong & Li, Hou-biao & Zhong, Shou-ming, 2007. "Stability of neutral type descriptor system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1796-1800.
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    Cited by:

    1. Lin Chai & Shumin Fei, 2013. "Memory State‐Feedback Stabilization for a Class of Time‐Delay Systems with a Type of Adaptive Strategy," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    3. Changjin Xu & Yusen Wu, 2012. "The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Xia Zhou & Yong Ren & Shouming Zhong, 2013. "BIBO Stabilization of Discrete‐Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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