ECE Seminar Series
Joint Electrical and Computer Engineering Seminar and Computer Science Seminar
Title: Products of Random Stochastic Matrices
Speaker: Behrouz Touri
Affiliation: University of Colorado Boulder
Day: Monday, February 23, 2015
Time: 11:00 am - 12:00 pm
Location: CSB 130
Abstract: Products of random stochastic matrices have applications in many engineering settings including coordination in multiagent networks, distributed optimization, and the study of random phenomena in time-varying environments. In this talk we will discuss some recent results on products of random stochastic matrices that relate their convergence properties to the study of certain types of flows over networks. Also, a family of Lyapunov functions will be introduced for the study of such products including a quadratic one. The quadratic Lyapunov functions enable us to characterize the ergodic properties of a general class of stochastic matrices and provide a unified approach to convergence analysis of distributed averaging dynamics.
Bio: Behrouz Touri is an Assistant Professor with the Electrical, Computer, and Energy Engineering Department at the University of Colorado Boulder. He received his B.S. degree in Electrical Engineering from Isfahan University of Technology, Isfahan, Iran in 2006, his M.S. degree in Communications, Systems, Electronics from Jacobs University, Bremen, Germany in 2008, and his Ph.D. degree in Industrial Engineering from the University of Illinois at Urbana-Champaign in 2011. Between 2011 and 2014, he was a postdoctoral researcher with the ECE department of the University of Illinois and Georgia Institute of Technology. His research interests include applied probability theory, distributed optimization, control and estimation, population dynamics, and evolutionary game theory. He is a 2014 IEEE Transactions on Automatic Control's outstanding reviewer.