Exponential stability of impulsive neural networks with time-varying delays

作者: Zai-Tang Huang , Qi-Gui Yang , Xiao-shu Luo

DOI: 10.1016/J.CHAOS.2006.05.089

关键词:

摘要: Abstract This paper considers the problems of global exponential stability for impulsive neural networks with time-varying delays, some new criteria ensuring globally are obtained. The results obtained impose constraint conditions on network parameters system independent and applicable to all continuous non-monotonic neuron activation functions. Compared previously reported in literature, our this provide better one more set determining delays. Moreover, two illustrative examples will be given demonstrate effectiveness results.

参考文章(17)
Zhi-Hong Guan, James Lam, Guanrong Chen, On impulsive autoassociative neural networks Neural Networks. ,vol. 13, pp. 63- 69 ,(2000) , 10.1016/S0893-6080(99)00095-7
K Gopalsamy, Stability of artificial neural networks with impulses Applied Mathematics and Computation. ,vol. 154, pp. 783- 813 ,(2004) , 10.1016/S0096-3003(03)00750-1
Xiaofan Yang, Xiaofeng Liao, David J. Evans, Yuanyan Tang, Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays Physics Letters A. ,vol. 343, pp. 108- 116 ,(2005) , 10.1016/J.PHYSLETA.2005.06.008
C. M. Marcus, R. M. Westervelt, Stability of analog neural networks with delay Physical Review A. ,vol. 39, pp. 347- 359 ,(1989) , 10.1103/PHYSREVA.39.347
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
Haydar Akça, Rajai Alassar, Valéry Covachev, Zlatinka Covacheva, Eada Al-Zahrani, Continuous-time additive Hopfield-type neural networks with impulses Journal of Mathematical Analysis and Applications. ,vol. 290, pp. 436- 451 ,(2004) , 10.1016/J.JMAA.2003.10.005
Zhi-Hong Guan, Guanrong Chen, On delayed impulsive Hopfield neural networks Neural Networks. ,vol. 12, pp. 273- 280 ,(1999) , 10.1016/S0893-6080(98)00133-6
Jinde Cao, Global asymptotic stability of delayed bi-directional associative memory neural networks Applied Mathematics and Computation. ,vol. 142, pp. 333- 339 ,(2003) , 10.1016/S0096-3003(02)00308-9