Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 453149, 11 pages.
Generalized Mutual Synchronization between Two Controlled Interdependent Networks
This paper mainly focuses on the generalized mutual synchronization between two controlled interdependent networks. First, we propose the general model of controlled interdependent networks and with time-varying internetwork delays coupling. Then, by constructing Lyapunov functions and utilizing adaptive control technique, some sufficient conditions are established to ensure that the mutual synchronization errors between the state variables of networks and can asymptotically converge to zero. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results and to explore potential application in future smart grid. The simulation results also show how interdependent topologies and internetwork coupling delays influence the mutual synchronizability, which help to design interdependent networks with optimal mutual synchronizability.
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 453149, 11 pages.
First available in Project Euclid: 6 October 2014
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Xu, Quan; Zhuang, Shengxian; Hu, Dan; Zeng, Yingfeng; Xiao, Jian. Generalized Mutual Synchronization between Two Controlled Interdependent Networks. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 453149, 11 pages. doi:10.1155/2014/453149. https://projecteuclid.org/euclid.aaa/1412605767