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Exponential Stabilization of Coupled Hybrid Stochastic Delayed BAM Neural Networks: A Periodically Intermittent Control Method

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  • Yunjian Peng
  • Birong Zhao
  • Weijie Sun
  • Feiqi Deng

Abstract

This paper considers exponential stabilization for a class of coupled hybrid stochastic delayed bidirectional associative memory neural networks (HSD-BAM-NN) with reaction-diffusion terms. A periodically intermittent controller is proposed to exponentially stabilize such an unstable HSD-BAM-NN, and sufficient conditions of the closed-loop BAM-NN system with exponential stabilization are derived by using Lyapunov-Krasovskii functional method, stochastic analysis techniques, and integral inequality property, which decide the basic parameters of the proposed controller. Furthermore, a framework to establish simulation algorithm with sampled states is presented to implement the stabilization controller. With a HSD-BAM-NN model of power synchronization in a photovoltaic (PV) array field, we illustrate numerical simulation results to verify the correctness and effectiveness of the proposed controller.

Suggested Citation

  • Yunjian Peng & Birong Zhao & Weijie Sun & Feiqi Deng, 2018. "Exponential Stabilization of Coupled Hybrid Stochastic Delayed BAM Neural Networks: A Periodically Intermittent Control Method," Complexity, Hindawi, vol. 2018, pages 1-14, December.
    • Handle: RePEc:hin:complx:1708935
    DOI: 10.1155/2018/1708935
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    References listed on IDEAS

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    1. 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.
    2. Yiming Jiang & Chenguang Yang & Jing Na & Guang Li & Yanan Li & Junpei Zhong, 2017. "A Brief Review of Neural Networks Based Learning and Control and Their Applications for Robots," Complexity, Hindawi, vol. 2017, pages 1-14, October.
    3. Cui, Bao Tong & Lou, Xu Yang, 2006. "Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1347-1354.
    4. Singh, G.K., 2013. "Solar power generation by PV (photovoltaic) technology: A review," Energy, Elsevier, vol. 53(C), pages 1-13.
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