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

作　　者：Hong-Bing Zeng Shen-Ping Xiao Bin Liu 

机构地区：[1]School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, PRC [2]School of Information Science and Engineering, Central South University, Changsha 410083, PRC [3]School of Engineering, Australian National University, ACT 0200, Australia

出　　处：《International Journal of Automation and computing》2011年第1期128-133,共6页国际自动化与计算杂志（英文版）

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

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- τ（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.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- τ（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.

关 键 词：STABILITY recurrent neural networks （RNNs） time-varying delay DELAY-DEPENDENT augmented Lyapunov-Krasovskii functional. 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O175.26[自动化与计算机技术—控制科学与工程]