Discrete-Time Modulus Consensus and Polar Opinion Dynamics with Susceptibility

Time: Wednesday, September 20, 2017 - 4:00pm - 5:00pm
Type: Seminar Series
Presenter: Ji Liu, Stony Brook University
Room/Office: Room 335
17 Hillhouse Avenue
New Haven, CT 06511
United States

Department of Electrical Engineering Seminar

Ji Liu
Assistant Professor
Stony Brook University

"Discrete-Time Modulus Consensus and Polar Opinion Dynamics with Susceptibility"

Abstract: The talk will focus on two discrete-time models for opinion dynamics in social networks. The first part will consider a discrete-time modulus consensus model in which the interaction among a group of individuals is described by a time-dependent, complex-valued, weighted digraph. It is shown that for any sequence of repeatedly jointly strongly connected digraphs, without any assumption on the structure of the complex-valued weights, the system asymptotically reaches modulus consensus. Necessary and sufficient conditions for exponential convergence to each possible type of limit states are provided. The second part will address a study of opinion dynamics with discrete-time versions of a cognitive process. Two specific susceptibility functions and the corresponding models are considered. Limiting behaviors of the models are provided and compared with the classic DeGroot model.

Bio: Ji Liu received the Ph.D. degree in electrical engineering from Yale University in 2013. He is currently an Assistant Professor in the Department of Electrical and Computer Engineering at Stony Brook University. He was a Postdoctoral Research Associate at University of Illinois at Urbana- Champaign and Arizona State University. His current research interests include distributed control and computation, multi-agent systems, social networks, epidemic networks, and power networks.

Wednesday, September 20
4:00 pm
Room 335, 17 Hillhouse