The IASTED International Conference on
Circuits and Systems
~CS 2008~
August 18 – 20, 2008
Kailua-Kona, Hawaii, USA
KEYNOTE SPEAKER
On the Status of Stability of Discontinuous Dynamical Systems
Abstract
A dynamical system is a four-tuple { T,X,A,S } where T denotes time set, X is the state – space (a metric space with metric d), A is the set of initial states, and S denotes a family of motions. When
T = R + = [0,
), we speak of a continuous-time dynamical system and when
T = N = {0,1,2,3,…} we speak of a discrete–time dynamical system. For any motion
x(⋅,x0,t0)
S we have
x(t0,x0,t0) = x0A
X and
x(t,x0,t0)X for all
t[t0,t1)
T,t1>t0, where
t1 may be finite or infinite. The set of motions is obtained by varying
(t0, x0) over T × A. When all the motions in a continuous-time dynamical system are continuous with respect to time t, we speak of a continuous dynamical system and when one or more of the motions are not continuous with respect to t, we speak of a discontinuous dynamical system (DDS).
DDS arise in the modeling process of a variety of systems, including hybrid dynamical systems, discrete-event systems, switched systems, systems subjected to impulsive effects, and the like. The qualitative analysis of such systems has been of great interest over the past two decades. In the present talk we will give an overview of stability results of DDS, with an emphasis on the work of the author and his collaborators. The applicability of these results will be demonstrated by specific examples.
Biography of the Presenter
Anthony N. Michel received the Ph.D. degree in electrical engineering from Marquette University and the D.Sc. in applied mathematics from the Technical University of Graz, Austria. He has extensive industrial and academic experience with interests in control systems, circuit theory, neural networks and applied mathematics. His most recent work is concerned with stability analysis of finite and infinite dimensional discontinuous dynamical systems. He has held faculty positions at Iowa State University and the University of Notre Dame and visiting faculty positions at the Technical University in Vienna, Austria, the Johannes Kepler University in Linz, Austria, and the Ruhr University in Bochum, Germany. He is currently the Frank M. Freimann Professor of Engineering Emeritus and the Matthew H. McCloskey Dean of Engineering Emeritus at the University of Notre Dame.
Dr. Michel has co-authored ten books and a number of publications in journals, conference proceedings and books. He is a past Editor-in-Chief of the IEEE Transactions on Circuits and Systems and has held a variety of positions on the editorial boards of the IEEE Transactions on Automatic Control; IEEE Transactions on Neural Networks; Circuits, Systems and Signal Processing; International Journal of Hybrid Systems; Nonlinear Analysis; and other journals. He is a past president of the IEEE Circuits and Systems Society and has been a member of the executive committees of several professional organizations.
Dr. Michel is a Life Fellow of the IEEE. He received three prize paper awards from the IEEE Control Systems Society and the IEEE Circuits and Systems Society. He was awarded the IEEE Centennial Medal (1984), the Golden Jubilee Medal of the IEEE Circuits and Systems Society (1999) and the IEEE Third Millennium Medal (2000). He was a Fulbright Scholar at the Technical University of Vienna (1992) and he received the 1995 Technical Achievement Award of the IEEE Circuits and Systems Society, the Alexander von Humboldt Research Award for Senior U.S. Scientists (1997), the Distinguished Member Award of the IEEE Control Systems Society (1998), and the 2005 Distinguished Alumnus Award of the College of Engineering, Marquette University.
