𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global robust stability of interval neural networks with multiple time-varying delays

✍ Scribed by Qiankun Song; Jinde Cao


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
178 KB
Volume
74
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, the global robust stability is investigated for interval neural networks with multiple time-varying delays. The neural network contains time-invariant uncertain parameters whose values are unknown but bounded in given compact sets. Without assuming both the boundedness on the activation functions and the differentiability on the time-varying delays, a new sufficient condition is presented to ensure the existence, uniqueness, and global robust stability of equilibria for interval neural networks with multiple time-varying delays based on the Lyapunov-Razumikhin technique as well as matrix inequality analysis. Several previous results are improved and generalized, and an example is given to show the effectiveness of the obtained results.


πŸ“œ SIMILAR VOLUMES


Global exponential stability of interval
✍ Zhengqiu Zhang; Yan Yang; Yesheng Huang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 313 KB

In this paper, we first discuss the existence and uniqueness of the equilibrium point of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays by means of using degree theory. Then by applying the existence result of an equilibrium point and constructing

Some improved criteria for global robust
✍ Jin-Liang Shao; Ting-Zhu Huang; Sheng Zhou πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 332 KB

## a b s t r a c t In this paper, some sufficient conditions for global robust exponential stability of interval neural networks with time-varying delays are presented. It is shown that our results include some counterparts of the previous literatures. On basis of the obtained results, some linear

Global exponential stability for impulsi
✍ Shair Ahmad; Ivanka M. Stamova πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 245 KB

In this paper, we study the problem of global exponential stability for cellular neural networks (CNN) with time-varying delays and fixed moments of impulsive effect. We establish several stability criteria by employing Lyapunov functions and the Razumikhin technique.