๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New criteria for synchronization stability of continuous complex dynamical networks with non-delayed and delayed coupling

โœ Scribed by Hongjie Li

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

No coin nor oath required. For personal study only.

โœฆ Synopsis

The synchronization stability problem of general complex dynamical networks with nondelayed and delayed coupling is investigated based on a piecewise analysis method, the variation interval of the time delay is firstly divided into several subintervals, by checking the variation of derivative of a Lyapunov functional in every subinterval, several new delay-dependent synchronization stability conditions are derived in the form of linear matrix inequalities, which are easy to be verified by the LMI toolbox. Some numerical examples show that, when the number of the divided subintervals increases, the corresponding criteria can provide much less conservative results.

๐Ÿ“œ SIMILAR VOLUMES

Global synchronization of nonlinearly co
Global synchronization of nonlinearly coupled complex networks with non-delayed and delayed coupling
โœ Wanli Guo; Francis Austin; Shihua Chen ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 278 KB

## a b s t r a c t This paper investigates the global synchronization of nonlinearly coupled complex networks with non-delayed and delayed coupling using methods that are based on pinning control. Sufficient conditions for global synchronization are obtained by applying suitable feedback or adapti

Synchronization stability of general com
Synchronization stability of general complex dynamical networks with time-varying delays: A piecewise analysis method
โœ Hongjie Li; Dong Yue ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 714 KB

The synchronization problem of some general complex dynamical networks with timevarying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The delays considered in this paper are assumed to vary in an interval, whe

An analysis on the global exponential st
An analysis on the global exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses
โœ Yao-tang Li; Jiyu Wang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

In this paper, by utilizing the Lyapunov functional method, applying M-matrix, Young inequality technique and other analysis techniques, we analyze the exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses. Su