✦ LIBER ✦

Global eponential stability of cellular neural networks with time-varying coefficients and delays

✍ Scribed by Haijun Jiang; Zhidong Teng

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 188 KB
Volume: 17
Category: Article
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2004.03.002

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a class of cellular neural networks with time-varying coefficients and delays is considered. By constructing a suitable Liapunov functional and utilizing the technique of matrix analysis, some new sufficient conditions on the global exponential stability of solutions are obtained. The results obtained in this paper improve and extend some of the previous results.

📜 SIMILAR VOLUMES

Global exponential stability for impulsi

Global exponential stability for impulsive cellular neural networks with time-varying delays

✍ Shair Ahmad; Ivanka M. Stamova 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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.

Improved global exponential stability cr

Improved global exponential stability criteria of cellular neural networks with time-varying delays

✍ Qingshan Liu; Jinde Cao 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 455 KB

On global exponential stability for impu

On global exponential stability for impulsive cellular neural networks with time-varying delays

✍ Ivanka M. Stamova; Rajcho Ilarionov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 295 KB

In this paper, the problem of global exponential stability for cellular neural networks (CNNs) with time-varying delays and fixed moments of impulsive effect is studied. A new sufficient condition has been presented ensuring the global exponential stability of the equilibrium points by using piecewi

Exponential convergence of delayed cellu

Exponential convergence of delayed cellular neural networks with time-varying coefficients

✍ Yi Tang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 182 KB

In this work the convergence behaviors of delayed cellular neural networks with time-varying coefficients are considered. Some sufficient conditions are established to ensure that all solutions for the networks converge exponentially to the zero point, which are new, and complement previously known

Global robust stability of interval neur

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

✍ Qiankun Song; Jinde Cao 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 178 KB

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 activati

Global asymptotic stability of stochasti

Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays

✍ M. Syed Ali; P. Balasubramaniam 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 278 KB

In this paper, the Takagi-Sugeno (T-S) fuzzy model representation is extended to the stability analysis for stochastic cellular neural networks with multiple discrete and distributed time varying delays. A novel linear matrix inequality (LMI) based stability criterion is derived to guarantee the asy