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On the robustness of global exponential stability for hybrid neural networks with noise and delay perturbations

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Abstract

The paper is concerned with the robustness of global exponential stability of hybrid neural networks subject to noise and delay simultaneously. Given a globally exponentially stable hybrid neural network, the aim of the paper is to characterize how much delay and noise intensity hybrid neural networks can bear such that the perturbed hybrid neural network remains globally exponentially stable, in the presence of delay and noise simultaneously. Numerical examples are provided to illustrate the result.

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Acknowledgments

The authors would like to thank Prof. John MacIntyre and anonymous referees for their constructive suggestions and comments. The work is supported by the Research Fund for Wuhan Polytechnic University under Grant 2012Y16, the Fundamental Research Funds for the Central Universities, the China Postdoctoral Science Foundation under Grant 2012M511615, and the State Key Program of National Natural Science of China under Grant 61134012.

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Authors and Affiliations

  1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, 430073, China

    Feng Jiang

  2. School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan, 430023, China

    Hua Yang

  3. The Key Laboratory of Ministry of Eduction for Image Processing and Intelligent Control, Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Yi Shen

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  1. Feng Jiang
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  2. Hua Yang
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  3. Yi Shen
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Correspondence to Feng Jiang.

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Jiang, F., Yang, H. & Shen, Y. On the robustness of global exponential stability for hybrid neural networks with noise and delay perturbations. Neural Comput & Applic 24, 1497–1504 (2014). https://doi.org/10.1007/s00521-013-1374-2

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  • DOI: https://doi.org/10.1007/s00521-013-1374-2

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