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Passivity and Pinning Passivity of Coupled Delayed Reaction–Diffusion Neural Networks with Dirichlet Boundary Conditions

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Abstract

This paper respectively considers passivity problem and pinning passivity problem for coupled delayed reaction–diffusion neural networks (CDRDNNs). By construction of appropriate Lyapunov functionals and utilization of inequality techniques, several passivity conditions are derived for the CDRDNNs. Moreover, the pinning control technique is developed to obtain some passivity criteria for CDRDNNs. Finally, two numerical examples are also provided to verify the correctness of the theoretical results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant No. 61672171, and the Science and technology project of Guangdong province under Grant No. 2015B010129014.

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Shun-Yan Ren

  2. School of Computer Science and Technology, Guangdong University of Technology, Guangzhou, 510006, China

    Jigang Wu

  3. School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Pu-Chong Wei

Authors
  1. Shun-Yan Ren
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  2. Jigang Wu
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  3. Pu-Chong Wei
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Correspondence to Jigang Wu.

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Ren, SY., Wu, J. & Wei, PC. Passivity and Pinning Passivity of Coupled Delayed Reaction–Diffusion Neural Networks with Dirichlet Boundary Conditions. Neural Process Lett 45, 869–885 (2017). https://doi.org/10.1007/s11063-016-9557-3

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  • DOI: https://doi.org/10.1007/s11063-016-9557-3

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