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ZHOU Li-qun. Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays[J]. Journal of University of Electronic Science and Technology of China, 2013, 42(4): 625-629. doi: 10.3969/j.issn.1001-0548.2013.04.018
Citation: ZHOU Li-qun. Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays[J]. Journal of University of Electronic Science and Technology of China, 2013, 42(4): 625-629. doi: 10.3969/j.issn.1001-0548.2013.04.018
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Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays

doi: 10.3969/j.issn.1001-0548.2013.04.018
  • 1.

    School of Mathematics Science,Tianjin Normal University Xiqing Tianjin 300387

  • Received Date: 2012-01-02
  • Rev Recd Date: 2013-02-06
  • Publish Date: 2013-08-15
  • A class of cellular neural networks with multi-proportional delays is studied in this paper. The transformation zi(t)=yi(et) transforms cellular neural networks with multi-proportional delays into cellular neural networks with variable coefficient and constant delays, and then constructing Lyapunov functionals, some delay-independent sufficient conditions are given. These new sufficient conditions can ensure global uniform asymptotic stability of this system. An example is given to illustrate the correctness of obtained results.
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Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays

doi: 10.3969/j.issn.1001-0548.2013.04.018
  • 1. School of Mathematics Science,Tianjin Normal University Xiqing Tianjin 300387
  • Received Date: 2012-01-02
  • Rev Recd Date: 2013-02-06
  • Publish Date: 2013-08-15

Abstract: A class of cellular neural networks with multi-proportional delays is studied in this paper. The transformation zi(t)=yi(et) transforms cellular neural networks with multi-proportional delays into cellular neural networks with variable coefficient and constant delays, and then constructing Lyapunov functionals, some delay-independent sufficient conditions are given. These new sufficient conditions can ensure global uniform asymptotic stability of this system. An example is given to illustrate the correctness of obtained results.

ZHOU Li-qun. Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays[J]. Journal of University of Electronic Science and Technology of China, 2013, 42(4): 625-629. doi: 10.3969/j.issn.1001-0548.2013.04.018
Citation: ZHOU Li-qun. Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays[J]. Journal of University of Electronic Science and Technology of China, 2013, 42(4): 625-629. doi: 10.3969/j.issn.1001-0548.2013.04.018
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