Dynamical Systems Seminar: Behrooz Touri

Talk for Oct. 9, 2014

Behrooz Touri

Electrical, Computer, and Energy Engineering; University of Colorado Boulder

Date and time: 

Thursday, October 9, 2014 - 2:00pm

Location: 

ECCR 257

Abstract: 

Products of random stochastic matrices have applications in many engineering problems, 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.