New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay

Hong-Bing Zeng Shen-Ping Xiao Bin Liu

Hong-Bing Zeng, Shen-Ping Xiao, Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2011, 8(1): 128-133. doi: 10.1007/s11633-010-0564-y
引用本文: Hong-Bing Zeng, Shen-Ping Xiao, Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2011, 8(1): 128-133. doi: 10.1007/s11633-010-0564-y
Hong-Bing Zeng, Shen-Ping Xiao and Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay. International Journal of Automation and Computing, vol. 8, no. 1, pp. 128-133, 2011 doi:  10.1007/s11633-010-0564-y
Citation: Hong-Bing Zeng, Shen-Ping Xiao and Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay. International Journal of Automation and Computing, vol. 8, no. 1, pp. 128-133, 2011 doi:  10.1007/s11633-010-0564-y

New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay

doi: 10.1007/s11633-010-0564-y
基金项目: 

supported by National Natural Science Foundation of China (No.60874025);Natural Science Foundation of Hunan Province of China (No.10JJ6098)

New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay

Funds: 

supported by National Natural Science Foundation of China (No.60874025);Natural Science Foundation of Hunan Province of China (No.10JJ6098)

More Information
    Author Bio:

    Shen-Ping Xiao received the B.Sc.degree in engineering from Northeastern Univer-sity,Shenyang,PRC in 1988,and Ph.D.

    Corresponding author: Hong-Bing Zeng received the B.Sc.degree in electrical engineering from Tianjin University of Technology and Education, Tianjin,PRC in 2003,and M.Sc.
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出版历程
  • 收稿日期:  2009-12-09
  • 修回日期:  2010-06-09
  • 刊出日期:  2011-01-15

New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay

doi: 10.1007/s11633-010-0564-y
    基金项目:

    supported by National Natural Science Foundation of China (No.60874025);Natural Science Foundation of Hunan Province of China (No.10JJ6098)

    作者简介:

    Shen-Ping Xiao received the B.Sc.degree in engineering from Northeastern Univer-sity,Shenyang,PRC in 1988,and Ph.D.

摘要: This paper deals with the stability of static recurrent neural networks (RNNs) with a time-varying delay. An augmented Lyapunov-Krasovskii functional is employed, in which some useful terms are included. Furthermore, the relationship among the timevarying delay, its upper bound and their difierence, is taken into account, and novel bounding techniques for 1(t) are employed. As a result, without ignoring any useful term in the derivative of the Lyapunov-Krasovskii functional, the resulting delay-dependent criteria show less conservative than the existing ones. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.

English Abstract

Hong-Bing Zeng, Shen-Ping Xiao, Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2011, 8(1): 128-133. doi: 10.1007/s11633-010-0564-y
引用本文: Hong-Bing Zeng, Shen-Ping Xiao, Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2011, 8(1): 128-133. doi: 10.1007/s11633-010-0564-y
Hong-Bing Zeng, Shen-Ping Xiao and Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay. International Journal of Automation and Computing, vol. 8, no. 1, pp. 128-133, 2011 doi:  10.1007/s11633-010-0564-y
Citation: Hong-Bing Zeng, Shen-Ping Xiao and Bin Liu. New Stability Criteria for Recurrent Neural Networks with a Time-varying Delay. International Journal of Automation and Computing, vol. 8, no. 1, pp. 128-133, 2011 doi:  10.1007/s11633-010-0564-y
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