西北师范大学学报（自然科学版）2017，Vol.53Issue(5)：12-18,7.DOI:10.16783/j.cnki.nwnuz.2017.05.003
基于Wirtinger积分不等式的时滞不确定神经网络无缘算法
Passivity algorithm of uncertain neural networks with delaybased on Wirtinger integral inequalities
摘要
Abstract
Based on Lyapunov stability theory,robust passivity problem for a class of uncertain neural networks with delay is studied in this paper.Firstly,a Lyapunov-Krasovskii(LK) functional containing a triple integral term is constructed.Next,the improved delay-dependent passivity conditions are derived,which are formulated in terms of linear matrix inequalities(LMIs) by using first-and second-order Wirtinger integral inequalities to estimate the derivative of the LK functional.Finally,when the upper bounds of delayed derivative are 0.9 and 1 respectively,the maximum allowable upper bounds of the delays are obtained to ensure the passivity of uncertain neural network with delay via binary search algorithm.Moreover,the comparison results on the allowable delay bounds obtained by employing the results in the current paper and ours in this paper are given by the use of relative difference,the improvement over the current best result is over 166% for 0.9,and over 103% for 1,which show that the proposed method is superior to the existing methods and less conservatism.In addition,when the upper bound of delayed derivative is 0.9,system state response curves are given with 10 randomly initial state vectors selected in virtue of MATLAB Simulink platform,which shows the correctness and effectiveness of the proposed method.关键词
Wirtinger积分不等式/时滞神经网络/不确定/无缘/线性矩阵不等式Key words
Wirtinger integral inequality/delayed neural network/uncertainty/passivity/linear matrix inequality分类
数理科学引用本文复制引用
张芬,张艳邦..基于Wirtinger积分不等式的时滞不确定神经网络无缘算法[J].西北师范大学学报（自然科学版）,2017,53(5):12-18,7.基金项目
国家自然科学基金资助项目(61501388,11501482) （61501388,11501482）
咸阳师范学院青蓝人才项目(XSYQL201605) （XSYQL201605）
