具有反应扩散和区间时滞的不确定细胞神经网络新的时滞依赖稳定性准则  

Novel delay-dependent stability criterion for uncertain cellular neural networks with reaction-diffusion and interval time-varying delays

作　　者：罗兰[1] 刘正龙[1] 

机构地区：[1]川北医学院计算机与数学教研室,四川南充637000

出　　处：《贵州师范大学学报（自然科学版）》2015年第4期62-67,共6页Journal of Guizhou Normal University：Natural Sciences

基　　金：四川省教育厅自然科学重点项目(编号:15ZA0217)

摘　　要：考虑时滞、反应扩散、不确定项对细胞神经网络稳定性的影响是非常必要的。通过引入区间时滞,构造新的Lyapunov泛函,运用Jenson不等式和串联补偿技术,得到了系统保持稳定新的判据,并以线性矩阵不等式(LMI)呈现,且这些判据适合时滞的快慢变化,减少了系统的保守性。It is very necessary to consider the impact of the time delay,reaction-diffusion and uncertainties to the stability of cellular neural networks. By introducing interval time-varying delays,constructing the novel Lyapunov function,applying the Jenson inequality and the series compensation technique,the new criterion in terms of linear matrix inequality（ LMI） that the system keeps stability is produced. Furthermore,the criterion can be applicable to both fast and slow time-varying delays,which reduces the conservative conditions of the system.

关 键 词：细胞神经网络 反应扩散 区间时滞 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]