基于LMI的比例时滞细胞神经网络的全局渐近稳定性  

LMI-based approach to global asymptotic stability for cellular neural networks with proportional delays

作　　者：刘纪茹[1] 周立群[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2014年第4期10-13,共4页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61374009);天津市高等学校科技发展基金资助项目(20100813)

摘　　要：通过构造合适的Lyapunov泛函及应用线性矩阵不等式,研究一类比例时滞细胞神经网络的全局渐近稳定性,得到系统全局渐近稳定的时滞相关与时滞独立的充分条件.利用数值算例和仿真结果验证了所得结论的正确性.By constructing appropriate Lyapunov functional and applying linear matrix inequality, the global asymptotic sta- bility for a class of cellular neural networks with proportional delays is studied. The delay-dependent and delay-independent sufficient conditions of global asymptotic stability are obtained. A numerical example and its simulation result are given to verify the correctness of the conclusion.

关 键 词：比例时滞 全局渐近稳定性 线性矩阵不等式 LYAPUNOV泛函 

分 类 号：O175.13[理学—数学]