PhD comprehensive seminar | Kexue Zhang, Impulsive Control of Discrete Complex Dynamical Networks with Time-Delay

Thursday, November 28, 2013 10:00 am - 10:00 am EST (GMT -05:00)

MC 5158

Candidate

Kexue Zhang, Applied Mathematics, University of Waterloo

Title

Impulsive Control of Discrete Complex Dynamical Networks with Time-Delay

Abstract

Complex dynamical networks (CDNs) consist of a large set of interconnected nodes with each node being a fundamental unit with detailed contents. A great number of natural and man-made complex networks such as social networks, food networks, neural networks, the Work Wide Web, electrical power grid, etc., can be effectively modeled by CDNs. Since the wide existence of time-delay in the coupling channels among these individual nodes, the study of time-delay networks has received a great deal of attention over the past decades. In this seminar, I will (i) give an over view of CDNs and introduce the discrete-time model of CDNs with time-delay, (ii) introduce three kinds of control problems about CDNs: stabilization, synchronization and consensus, and (iii) discuss how to stabilize, synchronize and achieve consensus of time-delay discrete CDNs via the impulsive control method.