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Almost periodic solution for multidirectional associative memory neural network with distributed delays

Author

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  • Zhou, Tiejun
  • Wang, Min
  • Li, Chen

Abstract

This paper proposes a mathematical model of multidirectional associative memory (MAM) neural network with almost periodic coefficients and continuously distributed delays. By using exponential dichotomy and spectral radius, a sufficient condition for the existence and the global exponential stability of an almost periodic solution is obtained. Two examples are given to illustrate the effectiveness of our results.

Suggested Citation

  • Zhou, Tiejun & Wang, Min & Li, Chen, 2015. "Almost periodic solution for multidirectional associative memory neural network with distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 107(C), pages 52-60.
    • Handle: RePEc:eee:matcom:v:107:y:2015:i:c:p:52-60
    DOI: 10.1016/j.matcom.2014.06.004
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    References listed on IDEAS

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    1. Liu, Bingwen, 2007. "Almost periodic solutions for Hopfield neural networks with continuously distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 327-335.
    2. Hattori, Motonobu & Hagiwara, Masafumi, 2000. "Associative memory for intelligent control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 51(3), pages 349-374.
    3. Zhou, Jun & Zhao, Weirui & Lv, Xiaohong & Zhu, Huaping, 2011. "Stability analysis of almost periodic solutions for delayed neural networks without global Lipschitz activation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2440-2455.
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    Citations

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    Cited by:

    1. Xiao, Lin & Yi, Qian & Zuo, Qiuyue & He, Yongjun, 2020. "Improved finite-time zeroing neural networks for time-varying complex Sylvester equation solving," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 246-258.
    2. Wang, Weiping & Jia, Xiao & Luo, Xiong & Kurths, Jürgen & Yuan, Manman, 2019. "Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 85-96.
    3. Pradeep, C. & Cao, Yang & Murugesu, R. & Rakkiyappan, R., 2019. "An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 41-56.
    4. Yongkun Li & Xiaofang Meng & Yuan Ye, 2018. "Almost Periodic Synchronization for Quaternion-Valued Neural Networks with Time-Varying Delays," Complexity, Hindawi, vol. 2018, pages 1-13, April.

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