2,312 publications from this institution
This article addresses some new problems and challenges faced by the conventional control theory under complex dynamical network environments. After introducing the network science and engineering background, it discusses some research issues regarding pinning control of complex dynamical networks, controllability of directed networks, as well as “network of networks” and its modeling and control.
In the study of complex networks, it is commonly believed that the eigenratio λ2/λN of the Laplacian matrix of a network represents the network synchronizability, especially for symmetric networks. This paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized region. Consequently, a simple answer is presented to the question of when the eigenratio λ2/λN does represent the network synchronizability.