Workshop on: "Switching in Systems and Control"


Featured main speaker:

Prof. Daniel Liberzon

Coordinated Science Laboratory

University of Illinois at Urbana-Champaign


Additional speaker, and workshop organizer:

Dr. Michael Margaliot

School of Electrical Engineering

Tel-Aviv University


Monday, June 1, 2009

Daniel Hotel, Herzlia





Switched and hybrid systems provide suitable mathematical models for numerous real world systems ranging from electrical circuits to Internet protocols. Switched systems also arise naturally in control schemes that employ switching between several possible controls laws, which are ubiquitous in adaptive, networked and optimal control.


This tutorial workshop will examine switched systems from a control-theoretic perspective. The main focus will be on stability analysis and control synthesis of systems that combine continuous dynamics with switching events.

We will start with an introduction to the basic concepts and definitions for hybrid and switched systems. In the analysis part of the workshop, we will develop stability theory for switched systems. Here we will cover single and multiple Lyapunov function methods, stability criteria based on commutation relations, stability under slow switching, and stability of switched systems with useful special structure. Properties beyond traditional stability, such as response to external inputs, will also be covered.

In the design part of the workshop, we will discuss systems for which the logic-based switching paradigm emerges naturally as a control design tool. Specific classes of interest include systems with sensor or actuator constraints (such as quantized feedback systems) and systems with large modeling uncertainty (for which we will present switching adaptive control techniques).


The bulk of the workshop will be presented by Prof. Liberzon. Dr. Margaliot will describe some applications and present a tutorial on the stability analysis of switched systems using optimal control techniques.

The workshop language is English.


Bio Sketch for Prof. Liberzon:


Daniel Liberzon was born in the former Soviet Union on April 22, 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 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 from 1998 to 2000, he joined the University of Illinois at  Urbana-Champaign, where he is now an associate professor in the Electrical and Computer Engineering Department and the Coordinated Science Laboratory.

He is the author of the book Switching in Systems and Control Birkhauser, 2003) on which this workshop is based (supplemented with several more recent results). Dr. Liberzon received the IFAC Young Author Prize and the NSF CAREER Award, both in 2002, and the Donald P. Eckman Award from the American Automatic Control Council in 2007.

Dr. Liberzon's research interests include nonlinear control theory, analysis and synthesis of switched systems, control with limited information, and uncertain and stochastic systems.





08:30-09:00  Registration

09:00-09:10  Opening Remarks

09:10-10:30  Session 1:            Introduction to switched systems
                                                Stability under arbitrary switching

10:30-11:00  Coffee break

11:00-12:20  Session 2:            Stability under constrained switching 
                                                Switched systems with inputs and outputs

12:20-14:00  Lunch break

14:00-15:15  Session 3:            An overview of applications
                                                Stability analysis using the variational approach

15:15-15:45  Coffee break

15:45-17:30  Session 4:            Control with limited information
                                                Switching adaptive control




See the registration form (in Hebrew), or contact Ms. Mira Aran: for details.  

Registration fees are 400 to 450 Shekels (about $100).