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Novel robust stability analysis for uncertain neutral system with mixed delays

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  • Qiu, Fang
  • Cui, Baotong
  • Ji, Yan

Abstract

This paper studies the problem of delay-dependent robust stability for uncertain neutral system with mixed delays. Based on a novel augmented Lyapunov functional approach and linear matrix inequality technology, a new delay-dependent stability condition is derived. Since no restriction on the derivative of the time-varying discrete delay is needed, the criteria proposed in this paper are less conservative than some previous approaches. Numerical examples are given to show the effectiveness of the proposed methods and the influence of uncertainties to the stability of the neutral system.

Suggested Citation

  • Qiu, Fang & Cui, Baotong & Ji, Yan, 2009. "Novel robust stability analysis for uncertain neutral system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1820-1828.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1820-1828
    DOI: 10.1016/j.chaos.2009.03.091
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Dynamic output guaranteed cost controller for neutral systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1819-1828.
    2. 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.
    3. Park, Ju H., 2002. "Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(5), pages 401-412.
    4. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    5. Tian, Junkang & Xiong, Lianglin & Liu, Jianxing & Xie, Xiangjun, 2009. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1858-1866.
    6. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
    7. Xiong, Wenjun & Liang, Jinling, 2007. "Novel stability criteria for neutral systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1735-1741.
    8. O. M. Kwon & J. H. Park, 2008. "Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 277-293, November.
    9. 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. Li, Boren, 2015. "A further note on stability criteria for uncertain neutral systems with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 72-83.

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