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Global robust stability of uncertain delayed neural networks with discontinuous neuron activation

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Abstract

This paper integrates global robust stability of uncertain delay neural networks with discontinuous activation. The activation function is unbounded and the uncertainties are norm bound. By the homotopy invariance and solution properties of the topological degree, the conditions for the existence of equilibrium are given out. Moreover, based on the Lyapunov–Krasovskii stability theory, the conditions of global robust stability for discontinuous delayed neural networks with uncertainties are presented in terms of linear matrix inequality. At last, an illustrative numerical example is provided to show the effectiveness of results given.

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Acknowledgments

The work is supported by the Natural Science Foundation of China under Grants 60974021 and 61125303, the 973 Program of China under Grant 2011CB710606 and the Fund for Distinguished Young Scholars of Hubei Province under Grant 2010CDA081.

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Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jian Xiao & Zhigang Zeng

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

    Jian Xiao & Zhigang Zeng

Authors
  1. Jian Xiao
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  2. Zhigang Zeng
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Correspondence to Jian Xiao.

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Xiao, J., Zeng, Z. Global robust stability of uncertain delayed neural networks with discontinuous neuron activation. Neural Comput & Applic 24, 1191–1198 (2014). https://doi.org/10.1007/s00521-013-1337-7

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  • DOI: https://doi.org/10.1007/s00521-013-1337-7

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