Stability analysis of complex networks with multi-links
Yang Gao, Lixiang Li, Haipeng Peng, Yang Yi-xian, Xiaohong Zhang, (1)北京邮电大学，网络与交换技术国家重点实验室，信息安全中心，北京 100876; (2)北京邮电大学，网络与交换技术国家重点实验室，信息安全中心，北京 100876；江西理工大学信息工程学院，赣州 341000 · Acta Physica Sinica · 2008
In this paper，a 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 theory，the 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.