(1.重庆教育学院 计算机与现代教育技术系, 重庆 400067; 2.重庆大学 自动化学院, 重庆 400044)
关键词:鲁棒稳定性; 随机神经网络; 分布时滞; 不确定性; 线性矩阵不等式
Robust stability of uncertain stochastic neural networks with discrete and distributed delays
FENG Wei1,2, ZHANG Wei1, WU Haixia1
(1.Dept. of Computer & Modern Education Technology, Chongqing Education College, Chongqing 400067, China;
2. College of Automation, Chongqing University, Chongqing 400044, China)
By It’s differential formula and combining the method of inequality analysis, this paper investigated the problem of stochastic asymptotical stability of a class of uncertain stochastic neural networks with discrete and distributed delays. There were two kinds of disturbances which were unavoidable to be considered in neural networks. The parameter uncertainties are timevarying and normbounded. The timedelay factors are unknown and timevarying with known bounds. Based on LyapunovKrasovskii functional and stochastic analysis approaches, presented some new stability criteria in terms of linear matrix inequalities (LMIs) to guarantee the delayed neural network to be robustly stable in the mean square for all admissible uncertainties. It gave a numerical examples to demonstrate the usefulness of the proposed asymptotical stability criteria. ......