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On robust stability of uncertain neutral systems with multiple delays

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  • Liu, Duyu
  • Zhong, Shouming
  • Xiong, Lianglin

Abstract

This paper deals with the problem of robust stability of uncertain neutral systems with neutral, discrete and distributed delays. A method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds and the free weighting matrices. Since the criteria takes three different delays of neutral-, discrete- and distributed-delays into account, it is less conservative than previous methods. Numerical examples illustrate the improvement this approach provides over previous methods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2332-2339
    DOI: 10.1016/j.chaos.2007.07.007
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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.
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    1. 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.

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