New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays

Guang-Deng Zong Jia Liu

Guang-Deng Zong, Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(4): 415-419. doi: 10.1007/s11633-009-0415-x
引用本文: Guang-Deng Zong, Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(4): 415-419. doi: 10.1007/s11633-009-0415-x
Guang-Deng Zong and Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays. International Journal of Automation and Computing, vol. 6, no. 4, pp. 415-419, 2009 doi:  10.1007/s11633-009-0415-x
Citation: Guang-Deng Zong and Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays. International Journal of Automation and Computing, vol. 6, no. 4, pp. 415-419, 2009 doi:  10.1007/s11633-009-0415-x

New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays

doi: 10.1007/s11633-009-0415-x
基金项目: 

supported by National Natural Science Foundation of China (No.60674027, 60875039, 60904022 and 60974127);Specialized Research Fund for the Doctoral Program of Higher Education (No.20050446001);China Postdoctoral Science Foundation(No.20070410336);Postdoctoral Foundation of Jiangsu Province(No.0602042B);Scientific Research Foundation of Qufu Normal University

New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays

Funds: 

supported by National Natural Science Foundation of China (No.60674027, 60875039, 60904022 and 60974127);Specialized Research Fund for the Doctoral Program of Higher Education (No.20050446001);China Postdoctoral Science Foundation(No.20070410336);Postdoctoral Foundation of Jiangsu Province(No.0602042B);Scientific Research Foundation of Qufu Normal University

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出版历程
  • 收稿日期:  2008-10-27
  • 修回日期:  2009-03-30
  • 刊出日期:  2009-10-15

New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays

doi: 10.1007/s11633-009-0415-x
    基金项目:

    supported by National Natural Science Foundation of China (No.60674027, 60875039, 60904022 and 60974127);Specialized Research Fund for the Doctoral Program of Higher Education (No.20050446001);China Postdoctoral Science Foundation(No.20070410336);Postdoctoral Foundation of Jiangsu Province(No.0602042B);Scientific Research Foundation of Qufu Normal University

摘要: This paper deals with the global asymptotic stability problem for Hopfield neural networks with time-varying delays. By resorting to the integral inequality and constructing a Lyapunov-Krasovskii functional, a novel delay-dependent condition is established to guarantee the existence and global asymptotic stability of the unique equilibrium point for a given delayed Hopfield neural network. This criterion is expressed in terms of linear matrix inequalities (LMIs), which can be easily checked by utilizing the recently developed algorithms for solving LMIs. Examples are provided to demonstrate the effectiveness and reduced conservatism of the proposed condition.

English Abstract

Guang-Deng Zong, Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(4): 415-419. doi: 10.1007/s11633-009-0415-x
引用本文: Guang-Deng Zong, Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2009, 6(4): 415-419. doi: 10.1007/s11633-009-0415-x
Guang-Deng Zong and Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays. International Journal of Automation and Computing, vol. 6, no. 4, pp. 415-419, 2009 doi:  10.1007/s11633-009-0415-x
Citation: Guang-Deng Zong and Jia Liu. New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays. International Journal of Automation and Computing, vol. 6, no. 4, pp. 415-419, 2009 doi:  10.1007/s11633-009-0415-x
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