𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case

✍ Scribed by R. Raja; S. Marshal Anthoni

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
236 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

This paper deals with the problem of stability analysis for a class of discrete-time bidirectional associative memory (BAM) neural networks with time-varying delays. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient conditions is proposed for the global exponential stability of discrete-time BAM neural networks. The proposed LMI based results can be easily checked by LMI control toolbox. Moreover, an example is also provided to demonstrate the effectiveness of the proposed method.

πŸ“œ SIMILAR VOLUMES

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

Global exponential stability of interval
Global exponential stability of interval general BAM neural networks with reaction–diffusion terms and multiple time-varying delays
✍ 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

On global exponential stability for impu
On global exponential stability for impulsive cellular neural networks with time-varying delays
✍ Ivanka M. Stamova; Rajcho Ilarionov πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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