Volume 6 Number 4
November 2009
Article Contents
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
Cite as: 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

  • Received: 2008-10-27
Fund Project:

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

Fund Project:

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

Abstract: 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.

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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