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Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties

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  • Zhang, Jinhui
  • Shi, Peng
  • Qiu, Jiqing

Abstract

The problem of robust stability for a class of uncertain neutral system with time-varying delay and nonlinear uncertainties is studied in this paper. A new delay-dependent stability criteria is presented by using Lyapunov method. The criteria is given in terms of linear matrix inequalities (LMIs) which can be easily solved by LMI Toolbox in Matlab. A numerical example is given to illustrate the effectiveness of the developed techniques.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:160-167
    DOI: 10.1016/j.chaos.2006.10.068
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    References listed on IDEAS

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    1. Liu, Xingwen & Zhang, Hongbin, 2005. "New stability criterion of uncertain systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1343-1348.
    2. Wang, Zidong & Lauria, Stanislao & Fang, Jian’an & Liu, Xiaohui, 2007. "Exponential stability of uncertain stochastic neural networks with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 62-72.
    3. O. Kwon & J. H. Park, 2005. "Matrix Inequality Approach to a Novel Stability Criterion for Time-Delay Systems with Nonlinear Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 643-656, September.
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    Cited by:

    1. 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.
    2. Zhang, Jinhui & Shi, Peng & Yang, Hongjiu, 2009. "Non-fragile robust stabilization and H∞ control for uncertain stochastic nonlinear time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3187-3196.
    3. Shen, Chang-Chun & Zhong, Shou-Ming, 2009. "New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2277-2285.
    4. 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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