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Article Navigation >  Journal of University of Electronic Science and Technology of China  > 2010  >  39(6): 810-816

LU Xiao-mei, CHEN Wu-hua, YANG Xuan-fang. Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 810-816. doi: 10.3969/j.issn.1001-0548.2010.06.002
Citation: LU Xiao-mei, CHEN Wu-hua, YANG Xuan-fang. Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 810-816. doi: 10.3969/j.issn.1001-0548.2010.06.002
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Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States

doi: 10.3969/j.issn.1001-0548.2010.06.002
  • 1.

    Department of Mathematics and Information Science,Guangxi University Nanning 530004;

  • 2.

    School of Electric and Information Engineering,Navy University of Engineering Wuhan 430033

  • Received Date: 2010-09-21
  • Publish Date: 2010-12-15
  • The problem of impulsive stabilization of delayed cellular neural networks (DCNNs) via partial states is discussed. The time delay is allowed to be time-varying. By utilizing the piecewise linear property of the activation function of DCNNs and applying piecewise differential Lyapunov combined with Razumikhin- type analysis techniques, a sufficient condition for the existence of the impulsive control law via partial states is derived. The sufficient condition is given in terms of linear matrix inequalities concerning the interconnection matrices and the bounds of the impulsive intervals. By using this result, an impulsive stabilization scheme for a class of DCNNs is proposed. The impulsive stabilization scheme only utilizes the output of partial states of the controlled DCNN. A numerical example illustrates the efficiency of the proposed method.
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Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States

doi: 10.3969/j.issn.1001-0548.2010.06.002
  • 1. Department of Mathematics and Information Science,Guangxi University Nanning 530004;
  • 2. School of Electric and Information Engineering,Navy University of Engineering Wuhan 430033
  • Received Date: 2010-09-21
  • Publish Date: 2010-12-15

Abstract: The problem of impulsive stabilization of delayed cellular neural networks (DCNNs) via partial states is discussed. The time delay is allowed to be time-varying. By utilizing the piecewise linear property of the activation function of DCNNs and applying piecewise differential Lyapunov combined with Razumikhin- type analysis techniques, a sufficient condition for the existence of the impulsive control law via partial states is derived. The sufficient condition is given in terms of linear matrix inequalities concerning the interconnection matrices and the bounds of the impulsive intervals. By using this result, an impulsive stabilization scheme for a class of DCNNs is proposed. The impulsive stabilization scheme only utilizes the output of partial states of the controlled DCNN. A numerical example illustrates the efficiency of the proposed method.

LU Xiao-mei, CHEN Wu-hua, YANG Xuan-fang. Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 810-816. doi: 10.3969/j.issn.1001-0548.2010.06.002
Citation: LU Xiao-mei, CHEN Wu-hua, YANG Xuan-fang. Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 810-816. doi: 10.3969/j.issn.1001-0548.2010.06.002
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