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U of M College of Engineering Control Seminar Series Sponsored by Ford Motor Company, General Motors, and Whirlpool |
Stability of Switched Systems
Professor Daniel Liberzon
Coordinated Science Laboratory
University of Illinois at Urbana-Champaign
In this lecture we present basic
techniques and results on stability of systems subject to discrete switching
events. We address stability under arbitrary as well as constrained switching.
The main tools that we utilize are Lyapunov and LaSalle theorems in terms of
common and multiple Lyapunov functions. Recent progress will be reported on the
role of commutation relations and observability concepts in stability analysis
of nonlinear
switched systems.
Biographical
Information:
Daniel Liberzon was born in the former Soviet Union in 1973. He was a student in the Department of Mechanics and Mathematics at Moscow State University from 1989 to 1993 and received the Ph.D. degree in mathematics from Brandeis University, Waltham, MA, in 1998 (under the supervision of Prof. Roger W. Brockett of Harvard University). Following a postdoctoral position in the Department of Electrical Engineering at Yale University, New Haven, CT, he joined the University of Illinois at Urbana-Champaign in 2000 as an assistant professor in the Electrical and Computer Engineering Department and an assistant research professor in the Coordinated Science Laboratory. Dr. Liberzon's research interests include nonlinear control theory, analysis and synthesis of switched systems, control with limited information, and uncertain and stochastic systems. He is the author of the book Switching in Systems and Control (Birkhauser, 2003). Dr. Liberzon
served as an Associate Editor on
the IEEE Control Systems Society Conference Editorial Board in 1999-2000. He
received the NSF CAREER Award and the IFAC Young Author Prize, both in 2002.
3:30 – 4:30 p.m.