Estimates of equilibrium points and global asymptotic stability of Cohen–Grossberg neural networks with delays
作者： Fang Qiu , Baotong Cui
DOI: 10.1080/00207720903042913
关键词:
摘要: This article studies a class of Cohen–Grossberg neural networks (CGNNs) with variable and distributed delays. Some novel conditions guaranteeing the existence, uniqueness estimated location equilibrium points are obtained. Using these results, global asymptotic stability CGNNs can be derived without demanding boundedness globally Lipschitz condition activation functions. Two numerical examples demonstrated to verify theoretical results.
sci-hub.se 参考文章(30)
Robert J. Plemmons, Abraham Berman, Nonnegative Matrices in the Mathematical Sciences ,(1979)
Xuyang Lou, Baotong Cui*, Global exponential stability analysis of delayed Cohen-Grossberg neural networks with distributed delays International Journal of Systems Science. ,vol. 38, pp. 601- 609 ,(2007) , 10.1080/00207720701431995
Zisen Mao, Hongyong Zhao, Xiaofeng Wang, Dynamics of Cohen–Grossberg neural networks with variable and distributed delays Physica D: Nonlinear Phenomena. ,vol. 234, pp. 11- 22 ,(2007) , 10.1016/J.PHYSD.2007.06.023
Li Wan, Jianhua Sun, Global asymptotic stability of Cohen–Grossberg neural network with continuously distributed delays Physics Letters A. ,vol. 342, pp. 331- 340 ,(2005) , 10.1016/J.PHYSLETA.2005.05.026
Hongyong Zhao, Jinde Cao, New conditions for global exponential stability of cellular neural networks with delays Neural Networks. ,vol. 18, pp. 1332- 1340 ,(2005) , 10.1016/J.NEUNET.2004.11.010
Tao Li, Shu-min Fei, Letters: Stability analysis of Cohen-Grossberg neural networks with time-varying and distributed delays Neurocomputing. ,vol. 71, pp. 1069- 1081 ,(2008) , 10.1016/J.NEUCOM.2007.09.006
Zhenkun Huang, Xinghua Wang, Yonghui Xia, Exponential stability of impulsive Cohen–Grossberg networks with distributed delays International Journal of Circuit Theory and Applications. ,vol. 36, pp. 345- 365 ,(2008) , 10.1002/CTA.V36:3
Wenjun Xiong, Jinde Cao, Absolutely exponential stability of Cohen-Grossberg neural networks with unbounded delays Neurocomputing. ,vol. 68, pp. 1- 12 ,(2005) , 10.1016/J.NEUCOM.2005.02.005
Hongjun Xiang, Jinde Cao, Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients Journal of Applied Mathematics. ,vol. 2008, pp. 1- 18 ,(2008) , 10.1155/2008/453627
W. Wang, J. Cao, LMI-based criteria for globally robust stability of delayed Cohen–Grossberg neural networks IEE Proceedings - Control Theory and Applications. ,vol. 153, pp. 397- 402 ,(2006) , 10.1049/IP-CTA:20050197