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New results for global robust stability of bidirectional associative memory neural networks with multiple time delays

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  • Senan, Sibel
  • Arik, Sabri

Abstract

This paper presents some new sufficient conditions for the global robust asymptotic stability of the equilibrium point for bidirectional associative memory (BAM) neural networks with multiple time delays. The results we obtain impose constraint conditions on the network parameters of neural system independently of the delay parameter, and they are applicable to all bounded continuous non-monotonic neuron activation functions. We also give some numerical examples to demonstrate the applicability and effectiveness of our results, and compare the results with the previous robust stability results derived in the literature.

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  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2106-2114
    DOI: 10.1016/j.chaos.2008.08.010
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    References listed on IDEAS

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    1. Song, Qiankun & Wang, Zidong, 2008. "Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3314-3326.
    2. Lou, Xuyang & Cui, Baotong & Wu, Wei, 2008. "On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1044-1054.
    3. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Global exponential stability conditions for generalized state-space systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 920-927.
    4. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2008. "Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 985-990.
    5. Song, Qiankun & Wang, Zidong, 2008. "Neural networks with discrete and distributed time-varying delays: A general stability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1538-1547.
    6. 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.
    7. Xiong, Wanmin & Zhou, Qiyuan & Xiao, Bing & Yu, Yuehua, 2007. "Global exponential stability of cellular neural networks with mixed delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 896-902.
    8. Huang, Zai-Tang & Luo, Xiao-Shu & Yang, Qi-Gui, 2007. "Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 878-885.
    9. Park, Ju H., 2008. "On global stability criterion of neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 444-449.
    10. Lu, Jun-Xiang & Ma, Yichen, 2008. "Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1323-1331.
    11. Zhang, Huiying & Xia, Yonghui, 2008. "Existence and exponential stability of almost periodic solution for Hopfield-type neural networks with impulse," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1076-1082.
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    Cited by:

    1. R. Sakthivel & R. Raja & S. M. Anthoni, 2013. "Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 251-273, July.
    2. Huang, Chengdai & Meng, Yijie & Cao, Jinde & Alsaedi, Ahmed & Alsaadi, Fuad E., 2017. "New bifurcation results for fractional BAM neural network with leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 31-44.
    3. R. Sakthivel & R. Raja & S. M. Anthoni, 2011. "Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 166-187, July.
    4. Thoiyab, N. Mohamed & Muruganantham, P. & Zhu, Quanxin & Gunasekaran, Nallappan, 2021. "Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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