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Robust Adaptive Synchronization Control for a Class of Perturbed and Delayed Neural Networks

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Abstract

This paper is concerned with the asymptotic synchronization problem of a general neural network using the robust adaptive control technique. It is considered a class of modified Cohen–Grossberg neural networks which is supposed to undergo unknown perturbations caused by state-independent nonlinearities and bounded mixed time-varying delays on neuron amplification and activation functions. An adaptive compensation control strategy is proposed to ensure the elimination of the perturbed and delayed effects by means of adaptive estimations of unknown controller parameters. Through Lyapunov stability theory, it is shown that the proposed adaptive compensation controllers can guarantee the asymptotic synchronization of neural networks without knowing the knowledge of bounds of nonlinearities and delays. A numerical example is provided to illustrate the effectiveness of the developed techniques.

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Acknowledgments

This work is supported by National Nature Science Foundation (Grant Nos. 61104029, 61273155, 61203087), and the Fundamental Research Funds for the Central Universities (Grant No. N100404023), New Century Excellent Talents in University (Grant No. NCET-11-0083), A Foundation for the Author of National Excellent Doctoral Dissertation of PR China (Grant No. 201157), the Natural Science Foundation of Liaoning Province (Grant No. 201202156), the Scientific Research Foundation for Doctor of Liaoning Province of China (Grant No. 20121040).

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Authors and Affiliations

  1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang, 110044, Liaoning, China

    Xiaozheng Jin

  2. Department of Automation, Shenyang Aerospace University, Shenyang, 110136, Liaoning, China

    Wei Guan

  3. College of Information Science and Engineering, Northeastern University, Shengyang, 110819, Liaoning, China

    Dan Ye

Authors
  1. Xiaozheng Jin
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  2. Wei Guan
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  3. Dan Ye
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Correspondence to Xiaozheng Jin.

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Jin, X., Guan, W. & Ye, D. Robust Adaptive Synchronization Control for a Class of Perturbed and Delayed Neural Networks. Neural Process Lett 39, 219–234 (2014). https://doi.org/10.1007/s11063-013-9300-2

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  • DOI: https://doi.org/10.1007/s11063-013-9300-2

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