Open AccessStability analysis of complex networks with multi-links
Author(s) -
Yang Gao,
Lixiang Li,
Haipeng Peng,
Yixian Yang,
Xiaohong Zhang
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.1444
Subject(s) - computer science , stability (learning theory) , complex network , lyapunov stability , topology (electrical circuits) , mathematics , control (management) , artificial intelligence , combinatorics , machine learning , world wide web
In this papera new idea about network split is presented according to the different nature of the network links. Time-delay has been introduced into networks to effect the split and on that a model of complex dynamical networks with multi-links has been constructed. Based on Lyapunov theorythe stability analysis of networks with multi-links is also studied. The sufficient conditions of the stability of networks with time-delay and without time-delay are respectively presented. The validility of the results are proved by numerical simulation of this paper.