Date and Time: Friday, July 17, 2020 at 1300 AEST
Speaker: Ali Moradi Amani, RMIT University
Title: Controllability of Complex Networks
Abstract: Networks are ubiquitous in nature and many natural and man-made systems can be modelled as networked systems. Complex networks, systems comprising a number of nodes that are connected through edges, have been frequently used to model large-scale systems from various disciplines such as biology, ecology, and engineering. Dynamical systems interacting through a network may exhibit collective behaviours such as synchronisation, consensus, opinion formation, flocking and unusual phase transitions. Evolution of such collective behaviours are highly dependent on the structure of the interaction network. Although coupled dynamical systems can develop spontaneous synchronous patterns if their coupling strength lies in an appropriate range, in some applications one needs to control a fraction of nodes, known as driver nodes, in order to facilitate the synchrony.
Controllability is one of the fundamental concepts in the mathematical control theory. The notion of controllability of a dynamical system was first introduced in (Kalman et al. 1963). However, the classic controllability analysis method is often inapplicable in the context of complex networks due to the system dimension (Pasqualetti et al. 2014). A new paradigm is required for controllability studies of complex networks. In this talk, recent advances on controllability of complex networks is reviewed.
Biography: Ali Moradi Amani has completed graduate and post-graduate studies all in Electrical Engineering (control systems). He is now a research fellow at the School of Engineering at Royal Melbourne Institute of Technology (RMIT University), Melbourne, Australia.
His research interests include control of complex networks, fault tolerant control systems, spectral graph theory, and stability analysis and control of future power systems.
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