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具有随机扰动和多重变时滞的神经网络稳定性分析
Stability for Stochastic Perturbed Neural Networks with Multiple Time-Varying Delays
【摘要】 考虑了一个具有多重时变时滞的随机神经网络的全局渐近稳定性问题.通过构造Lyapunov-Krasovskii函数并运用广义Ito公式,得到了一个充分条件,条件保证了神经网络在随机扰动下的全局均方渐近稳定性.最后通过一个数值实例验证了结果的有效性.
【Abstract】 In this paper,we consider a class of problems with globally asymptotically stability for the multiple time-varying delays of the stochastic neural aetworks.By applying a Lyapunov-Krasovskii function and the generalized ltd formula,a sufficient condition obtained which guarantees the globally asymptotically stability for the stochastic perturbed neural networks.In the end,the stability criteria addressed can be verified the effectiveness of the result by the numerical example.
【关键词】 稳定性;
多重变时滞;
扰动;
神经网络;
线性矩阵不等式;
【Key words】 stability; multiple time-varying delays; perturbation; neural networks; linear matrix inequality;
【Key words】 stability; multiple time-varying delays; perturbation; neural networks; linear matrix inequality;
【基金】 高等教育博士特别研究基金(20120075120009);上海市教育委员会创新计划项目基金(15ZR1401800)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2016年03期
- 【分类号】TP183
- 【被引频次】3
- 【下载频次】99