Plenary Lecture

On the Control Theory of the Sylvester Differential
and Difference Systems

Associate Professor Yan Wu
Department of Mathematical Sciences
Georgia Southern University
USA
E-mail: yan@georgiasouthern.edu
 

Abstract: Sylvester equations play an important role in many areas of applied mathematics and specifically in control systems theory. In this talk, we focus on the controllability and observability studies on the Sylvester differential system in the following general form

T'(t)=A(t)T(t)B(t) + C(t)T(t)D(t) + E(t)U(t)

and its discrete analogue. The closed form solutions of the matrix differential and difference systems and their implications to the control systems are discussed over the cases when the systems are time-variant and time-invariant. Some open problems are discussed at the conclusion of the talk.

Brief Biography of the Speaker:
Yan Wu received the B.S. degree in Mathematics from Beijing University of Technology in 1992, and the Ph.D. degree in Applied Mathematics and Electrical Engineering both from University of Akron in 1996 and 2000, respectively.
Currently he is an Associate Professor in the Department of Mathematical Sciences at Georgia Southern University. His research interests include numerical linear algebra, nonlinear control, and generalized sampling theory. He has two patents granted by the United States Patent and Trademark Office. One of his papers was ranked 4th place among the top 25 publications in the Journal of Digital Signal Processing in 2006. Dr. Wu serves as an Associate Editor for Instrumentation, Systems, and Automation (ISA) and American Automatic Control Council (AACC).