Stability criteria for Cohen–Grossberg neural networks with mixed delays and inverse Lipschitz neuron activations

作者: Cheng-De Zheng , Chao-Ke Gong , Zhanshan Wang

DOI: 10.1016/J.JFRANKLIN.2012.08.001

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摘要: Abstract In this paper, by using topological degree theory and Lyapunov–Krasovskii function method, the problem of stability is investigated for a class mixed-delayed Cohen–Grossberg neural networks with inverse Lipschitz neuron activations nonsmooth behaved functions. Several novel delay-dependent sufficient conditions are established towards existence, uniqueness global exponential equilibrium point, which shown in terms linear matrix inequalities. Besides, case activation satisfying not only but also conditions, two criteria derived virtue homeomorphism mapping principle, free-weighting method Cauchy–Schwarz inequality, generalize some previous results. Finally, examples their simulations given to show effectiveness theoretical

参考文章(44)
Yongkun Li, Wenya Xing, Linghong Lu, Existence and global exponential stability of periodic solution of a class of neural networks with impulses Chaos, Solitons & Fractals. ,vol. 27, pp. 437- 445 ,(2006) , 10.1016/J.CHAOS.2005.04.021
WeiLi Xiong, BaoGuo Xu, Some criteria for robust stability of Cohen–Grossberg neural networks with delays Chaos, Solitons & Fractals. ,vol. 36, pp. 1357- 1365 ,(2008) , 10.1016/J.CHAOS.2006.09.065
Xiaobing Nie, Jinde Cao, Stability analysis for the generalized Cohen-Grossberg neural networks with inverse Lipschitz neuron activations Computers & Mathematics With Applications. ,vol. 57, pp. 1522- 1536 ,(2009) , 10.1016/J.CAMWA.2009.01.003
Qiang Zhang, Jin Xu, Xiaopeng Wei, Delay-dependent exponential stability of cellular neural networks with time-varying delays Chaos Solitons & Fractals. ,vol. 23, pp. 1363- 1369 ,(2005) , 10.1016/J.CHAOS.2004.06.036
Qiankun Song, Zidong Wang, None, Neural networks with discrete and distributed time-varying delays: A general stability analysis Chaos, Solitons & Fractals. ,vol. 37, pp. 1538- 1547 ,(2008) , 10.1016/J.CHAOS.2006.10.044
Jinde Cao, Jinling Liang, Boundedness and stability for Cohen–Grossberg neural network with time-varying delays☆ Journal of Mathematical Analysis and Applications. ,vol. 296, pp. 665- 685 ,(2004) , 10.1016/J.JMAA.2004.04.039
Michael A. Cohen, Stephen Grossberg, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks systems man and cybernetics. ,vol. 42, pp. 815- 826 ,(1983) , 10.1109/TSMC.1983.6313075