不确定细胞神经网络鲁棒稳定新的时滞划分法  

New Delay Partition Method for Robust Stability of Uncertain Cellular Neural Networks with Time-Varying Delays

作　　者：罗兰[1] 周楠 司杰[3] LUO Lan;ZHOU Nan;SI Jie(Computer and Mathematical Department,North Sichuan Medical College,Nanchong Sichuan 637000,China;School of Control Engineering,Chengdu University of Information Technology,Chengdu Sichuan 610103,China;School of Continuing Education,North Sichuan Medical College,Nanchong Sichuan 637000,China)

机构地区：[1]川北医学院计算机与数学教研室,四川南充637000 [2]成都信息工程大学控制工程学院,四川成都610103 [3]川北医学院继续教育学院,四川南充637000

出　　处：《广西师范大学学报（自然科学版）》2019年第4期45-52,共8页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(61802036);川北医学院自然科学一般项目(CBY16-A-YB12)

摘　　要：研究了一类具有时变时滞和参数不确定项的细胞神经网络的鲁棒稳定性。引用凸组合方法,实现了对时滞区间的不均等划分,且参数的引入降低了对时滞导数小于1的限制;新变量的引入实现了对不确定项的处理,并将Jensen不等式与凸组合方法相结合,得到了积分区间新的处理方法;最后数值举例验证了结论的有效性。Robust stability of a class of cellular neural networks with time-varying delays and uncertain parameters is studied.With the help of the convex combination method,the unequal division of the time delay interval is achieved,the introduction of parameters reduces the limit of the time delay derivative by less than 1,and the introduction of new variables can implements the treatment of uncertain terms.By combining the Jensen inequality with the convex combination method,a new method for the integral interval is obtained.The final numerical example verifies the validity of the conclusion.

关 键 词：细胞神经网络 时滞划分 鲁棒稳定性 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]