Colloquium: Complex dynamical networks: Identification, control and synchronization
by Dr Jinhu Lu
Abstract: Over the last decades, complex networks have been intensively studied in all fields of sciences and humanities. In this talk, we introduce a general time-varying dynamical network model, in which the connections among nodes need not be constant but can be functions of time. Based on this new model, several fundamental network synchronization theorems are proved. In particular, we show that the synchronization of such a general time-varying complex dynamical network is completely determined by means of its coupled-link matrix, specifically the eigenvalues and the corresponding eigenvectors of this coupled-link matrix, rather than the sole eigenvalues of the coupled configuration matrix for a uniform network. Moreover, we show that maximum synchronizability of a network is completely determined by its associated feedback system, which has a precise meaning in terms of synchronous communications within the network. Finally, we briefly review our recent advances in the pinning control and structure identification of complex dynamical networks.
For More Information: Contact Quoqi Qian (email@example.com) or Paul Norbury (firstname.lastname@example.org)