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Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays

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  • Gui, Zhanji
  • Yang, Xiao-Song
  • Ge, Weigao

Abstract

By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solutions for recurrent neural networks with impulsive perturbations and delays. Further, by using numerical simulation method, the influences of the impulsive perturbations on the inherent oscillations are investigated.

Suggested Citation

  • Gui, Zhanji & Yang, Xiao-Song & Ge, Weigao, 2008. "Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 14-29.
    • Handle: RePEc:eee:matcom:v:79:y:2008:i:1:p:14-29
    DOI: 10.1016/j.matcom.2007.09.001
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    References listed on IDEAS

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    1. Li, Yongkun, 2005. "Global exponential stability of BAM neural networks with delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 279-285.
    2. Sun, Changyin & Feng, Chun-Bo, 2004. "Exponential periodicity and stability of delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 469-478.
    3. Delgado, A. & Kambhampati, C. & Warwick, K., 1996. "Input/output linearization using dynamic recurrent neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 41(5), pages 451-460.
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    Cited by:

    1. Pozna, Claudiu & Troester, Fritz & Precup, Radu-Emil & Tar, József K. & Preitl, Stefan, 2009. "On the design of an obstacle avoiding trajectory: Method and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2211-2226.
    2. Zhang, Yinping, 2009. "Stationary oscillation for cellular neural networks with time delays and impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3174-3178.

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