Study on Synchronization Pinning Control of a Nonlinearly Coupled Complex Network by a Single Controller
Wen Sun, Zhong Chen · Journal of Yangtze University · 2010
The problem of synchronization and control of complex network is a hot topic, but most of the existing works assume that the network is coupled linearly. To the best of our knowledge, in many practical problems, it often happens that some network is coupled nonlinearly. In the paper, the pinning synchronization of a nonlinearly coupled complex network with symmetrical topological structure is investigated. Based on Lyapunov Theorem, sufficient condition is obtained, which ensures a single controller can pin a nonlinearly coupled complex network to the synchronized solution. Numerical simulations of a complex network are finally used to verify the proposed method.