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神经网络的保吸引子扰动抑制控制器设计
引用本文:熊萍,;何汉林,;涂建军.神经网络的保吸引子扰动抑制控制器设计[J].计算机与数字工程,2014(8):1493-1497.
作者姓名:熊萍  ;何汉林  ;涂建军
作者单位:[1]武汉科技大学城市学院,武汉430083; [2]海军工程大学理学院,武汉430033; [3]海军装备研究院标准规范研究所,上海200235
基金项目:国家自然科学基金项目(编号:61374003)资助.
摘    要:采用分区讨论与大中取大方法处理细胞神经网络的饱和项,应用李亚普诺夫函数方法导出了使闭环系统全局渐近稳定的反馈控制器.利用线性矩阵不等式形式设计的控制器还同时满足扰动情形下闭环系统具有有界吸引子.进一步研究了闭环系统有界吸引子的最小化问题.最后,仿真实例验证了所设计的扰动抑制控制器及相应的最小化问题的有效性.

关 键 词:细胞神经网络  扰动抑制  渐近稳定  状态反馈

Guaranteed Attractor Disturbance Attenuating Controller Design for Cellular Neural Networks
Affiliation:XIONG Ping,HE Hanlin,TU Jianjun( 1.City College of Wuhan University of Science and Technology, Wuhan 430083 ;College of Science, Naval University of Engineering, Wuhan 430033; 2.Institute of Specifications and Standards, Naval Academy of Armament, Shanghai 200235)
Abstract:The zoned discussion and maximax synthesis(ZDMS) method are used in the process of the saturated terms in CNNs.Lyapunov function analysis ia applied that a feedback control law in the form of linear matrix inequality(LMI) is derived for guaranteeing global asymptotic stability of the closed systems regardless of the disturbance.Meanwhile,a bounded attractor of the closed-loop systems is guaranteed under the consideration of disturbance.The minimization of bounded attractor for the closed-loop systems is further studied.Finally,the numerical examples are given to show the effectiveness of the proposed disturbance attenuating control and its corresponding minimization problem.
Keywords:cellular neural network  disturbance attenuating  asymptotic stability  state feedback
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