随机扰动神经网络的脉冲控制

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随机扰动神经网络的脉冲控制陈远强贵州民族大学理学院, 贵阳 550025 Impulsive Control of Neural Networks with Random Disturbance CHEN YuanqiangCollege, Guizhou Minzu University, Guiyang 550025, China

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摘要脉冲控制具有响应速度快，鲁棒性和抗干扰能力好的特点，被广泛应用于参数随机扰动的动力学系统的控制.本文研究一类参数随机扰动的变时滞细胞神经网络在脉冲控制下的全局指数稳定性问题.利用Lyapunov稳定性理论和离散Halanay不等式技术手段，分别给出在脉冲控制下，参数随机扰动和无参数扰动的变时滞细胞神经网络全局指数稳定的充分条件.最后，通过数值算例说明所得结果.

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收稿日期: 2011-01-26

PACS:

O231.1

基金资助:国家自然科学基金（11171079），贵州省科学技术基金（[2014]2089）和贵州省数学建模及其应用创新人才团队（[2013]405）资助项目.

引用本文:

陈远强. 随机扰动神经网络的脉冲控制[J]. 应用数学学报, 2017, 40(1): 16-26. CHEN Yuanqiang. Impulsive Control of Neural Networks with Random Disturbance. Acta Mathematicae Applicatae Sinica, 2017, 40(1): 16-26.

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