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Passivity analysis for uncertain BAM neural networks with time delays and reaction–diffusions

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  • Jianping Zhou
  • Shengyuan Xu
  • Hao Shen
  • Baoyong Zhang

Abstract

This article deals with the problem of passivity analysis for delayed reaction–diffusion bidirectional associative memory (BAM) neural networks with weight uncertainties. By using a new integral inequality, we first present a passivity condition for the nominal networks, and then extend the result to the case with linear fractional weight uncertainties. The proposed conditions are expressed in terms of linear matrix inequalities, and thus can be checked easily. Examples are provided to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Jianping Zhou & Shengyuan Xu & Hao Shen & Baoyong Zhang, 2013. "Passivity analysis for uncertain BAM neural networks with time delays and reaction–diffusions," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(8), pages 1494-1503.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1494-1503
    DOI: 10.1080/00207721.2012.659693
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    Cited by:

    1. Duan, Lian & Shi, Min & Huang, Chuangxia & Fang, Xianwen, 2021. "Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Yan, Zhilian & Guo, Tong & Zhao, Anqi & Kong, Qingkai & Zhou, Jianping, 2022. "Reliable exponential H∞ filtering for a class of switched reaction-diffusion neural networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    3. Zeng, Deqiang & Pu, Zhilin & Zhang, Ruimei & Zhong, Shouming & Liu, Yajuan & Wu, Guo-Cheng, 2019. "Stochastic reliable synchronization for coupled Markovian reaction–diffusion neural networks with actuator failures and generalized switching policies," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 88-106.

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