Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales

作者：Li Yongkun^*; Yang Li; Wu Wanqin

来源：International Journal of Systems Science, 2011, 42(7): 1127-1132.

DOI：10.1080/00207720903308371

• Cohen-Grossberg neural networks (CGNNs)
• time-varying delays
• anti-periodic solutions
• exponential stability
• time scales
• stability
• asymptotic stability

In this article, a class of Cohen-Grossberg neutral networks (CGNNs) with time-varying delays on time scales is considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for CGNNs
x(i)(Delta)(t) = -a(i)(x(i)(t))[b(i)(x(i)(t)) - Sigma(n)(j=1)c(ij)(t)f(j)(x(j)(t)) - Sigma(n)(j-1)d(ij)(t)f(j)(x(j)(t - tau(ij)(t))) + I(i)(t)],
where t is an element of T, T is a periodic time scale, i = 1, 2, ..., n.

• 出版日期2011
• 单位云南大学