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A new global robust stability criteria for uncertain neural networks with fast time-varying delays

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  • Qiu, Jiqing
  • Zhang, Jinhui
  • Wang, Jianfei
  • Xia, Yuanqing
  • Shi, Peng

Abstract

This paper deals with the problem of robust stability for uncertain neural networks with time-varying delays. The system possesses time-varying and norm-bounded uncertainties. The time-varying delay function in this paper is not required to be either continuously differentiable, or its derivative less than one. Based on Lyapunov–Krasovskii functional approach, new delay-dependent and delay-derivative-dependent stability criteria are presented, which are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness and less conservativeness of the developed techniques.

Suggested Citation

  • Qiu, Jiqing & Zhang, Jinhui & Wang, Jianfei & Xia, Yuanqing & Shi, Peng, 2008. "A new global robust stability criteria for uncertain neural networks with fast time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 360-368.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:360-368
    DOI: 10.1016/j.chaos.2007.10.040
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    References listed on IDEAS

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    1. Zhang, Hongbin & Li, Chunguang & Liao, Xiaofeng, 2005. "A note on the robust stability of neural networks with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 357-360.
    2. Singh, Vimal, 2006. "New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1165-1171.
    3. Yang, Haifeng & Chu, Tianguang & Zhang, Cishen, 2006. "Exponential stability of neural networks with variable delays via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 133-139.
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    Cited by:

    1. Senan, Sibel & Arik, Sabri, 2009. "New results for global robust stability of bidirectional associative memory neural networks with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2106-2114.
    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.

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