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Stability Analysis of Switched Systems-A Variational Approach

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Abstract:
We review a variational approach for analyzing the stability of switched systems under arbitrary switching. This approach was first used to address the celebrated absolute stability problem. The main idea is to characterize the "most unstable" trajectory of the switched system as the solution of a suitable optimal control problem. The variational approach yields the most general results currently available for (1) low-order linear switched systems; and (2) nonlinear switched systems with a nilpotent Lie algebra.

Type of Seminar:
Public Seminar
Speaker:
Dr. Michael Margaliot
School of Electrical Engineering-Systems, Tel Aviv University, Israel
Date/Time:
Oct 18, 2005   17:15
Location:

ETH Zentrum, Gloriastrasse 35, Building ETZ, Room E6
Contact Person:

Prof. M.Morari
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Biographical Sketch:
Michael Margaliot received his B.Sc. (cum laude) and M.Sc. in EE from the Technion-Israel Institute of Technology in 1992 and 1995. He received his Ph.D. (summa cum laude) in EE from Tel Aviv University in 1999. He was a post-doctoral fellow in the Department of Theoretical Mathematics, Weizmann Institute of Science, Israel. He joined the faculty of the the School of EE-Systems, Tel Aviv University in 2000. His main research interests are stability analysis of switched systems and differential inclusions; optimal control theory; and mathematical modeling of natural phenomena.