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Novel stability criteria for uncertain delayed Cohen–Grossberg neural networks using discretized Lyapunov functional

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  • Souza, Fernando O.
  • Palhares, Reinaldo M.
  • Ekel, Petr Ya.

Abstract

This paper deals with the stability analysis of delayed uncertain Cohen–Grossberg neural networks (CGNN). The proposed methodology consists in obtaining new robust stability criteria formulated as linear matrix inequalities (LMIs) via the Lyapunov–Krasovskii theory. Particularly one stability criterion is derived from the selection of a parameter-dependent Lyapunov–Krasovskii functional, which allied with the Gu’s discretization technique and a simple strategy that decouples the system matrices from the functional matrices, assures a less conservative stability condition. Two computer simulations are presented to support the improved theoretical results.

Suggested Citation

  • Souza, Fernando O. & Palhares, Reinaldo M. & Ekel, Petr Ya., 2009. "Novel stability criteria for uncertain delayed Cohen–Grossberg neural networks using discretized Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2387-2393.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2387-2393
    DOI: 10.1016/j.chaos.2008.09.009
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    References listed on IDEAS

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    1. Wu, Wei & Cui, Bao Tong & Huang, Min, 2007. "Global asymptotic stability of delayed Cohen–Grossberg neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 872-877.
    2. Xiong, WeiLi & Xu, BaoGuo, 2008. "Some criteria for robust stability of Cohen–Grossberg neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1357-1365.
    3. Chen, Zhang & Zhao, Donghua & Ruan, Jiong, 2007. "Dynamic analysis of high-order Cohen–Grossberg neural networks with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1538-1546.
    4. Souza, Fernando O. & Palhares, Reinaldo M. & Ekel, Petr Ya., 2009. "Improved asymptotic stability analysis for uncertain delayed state neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 240-247.
    5. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1363-1369.
    6. Huang, Tingwen & Li, Chuandong & Chen, Goong, 2007. "Stability of Cohen–Grossberg neural networks with unbounded distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 992-996.
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    Cited by:

    1. Kalpana, M. & Balasubramaniam, P. & Ratnavelu, K., 2015. "Direct delay decomposition approach to synchronization of chaotic fuzzy cellular neural networks with discrete, unbounded distributed delays and Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 291-304.

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