School Seminars and Colloquia

Colloquium: Complex dynamical networks: Identification, control and synchronization

Colloquium

by Dr Jinhu Lu


Institution: Royal Melbourne Institute of Technology
Date: Tue 24th August 2010
Time: 12:00 PM
Location: Russell Love Theatre, Richard Berry Bldg, The Uni of Melb

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 (qguoqi@unimelb.edu.au) or Paul Norbury (norbury@unimelb.edu.au)

Colloquium Website