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Passivity analysis for delayed discontinuous neural networks

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Abstract

In this paper, we have integrated the passivity of delayed neural networks with discontinuous activations which are unbounded. Based on differential inclusion theory and nonsmooth analysis, some sufficient conditions are presented by means of the generalized Lyapunov method. The results are established in form of linear matrix inequality. In addition, Some numerical examples are proposed to show the effectiveness of the developed results.

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Acknowledgments

This work was supported by the Natural Science Foundation of China under Grant 61125303, National Basic Research Program of China (973 Program) under Grant 2011CB710606, Research Fund for the Doctoral Program of Higher Education of China under Grant 20100142110021, the Excellent Youth Foundation of Hubei Province of China under Grant 2010CDA081.

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Authors and Affiliations

  1. School of Automation, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China

    Jian Xiao, Zhigang Zeng & Wenwen Shen

  2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China

    Jian Xiao, Zhigang Zeng & Wenwen Shen

Authors
  1. Jian Xiao
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  2. Zhigang Zeng
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  3. Wenwen Shen
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Corresponding author

Correspondence to Zhigang Zeng.

Additional information

Communicated by C. Alippi, D. Zaho and D. Liu.

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Xiao, J., Zeng, Z. & Shen, W. Passivity analysis for delayed discontinuous neural networks. Soft Comput 17, 2033–2041 (2013). https://doi.org/10.1007/s00500-013-1076-9

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  • DOI: https://doi.org/10.1007/s00500-013-1076-9

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