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Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay

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  • Tian, Junkang
  • Xiong, Lianglin
  • Liu, Jianxing
  • Xie, Xiangjun

Abstract

The problem of delay-dependent robust stability for neutral control systems with time-varying delay and time-varying structured uncertainties is investigated. An improved linear matrix inequality-based delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov–Krasovskii functionals combined with the descriptor model transformation and the decomposition technique of coefficient matrix is constructed to derive some novel delay-dependent stability criteria. Finally, numerical examples are given to demonstrate the derived condition are much less conservative than those given in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1858-1866
    DOI: 10.1016/j.chaos.2007.09.068
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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. 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.
    3. Tu, Fenghua & Liao, Xiaofeng & Zhang, Wei, 2006. "Delay-dependent asymptotic stability of a two-neuron system with different time delays," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 437-447.
    4. 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. 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. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    3. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.

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