January 22, 2021, Zoom

We review the k multiplicative and k additive compounds of a matrix. We then describe some applications to the asymptotic analysis of non-linear time-varying dynamical systems described by ODEs. These include k-cooperative systems, totally positive differential systems, k-order contractive systems, and very recent work on contractive systems in the Hausdorff dimension. This is joint work with Eyal Weiss, Yoram Zarai, Chengshuai Wu, Eduardo D. Sontag, and Jean-Jacques Slotine.

Michael Margaliot received the BSc (cum laude) and MSc degrees in Electrical Engineering
from the Technion-Israel Institute of Technology-in 1992 and 1995, respectively, and the
PhD degree (summa cum laude) from Tel Aviv University in 1999. He was a post-doctoral
fellow in the Dept. of Theoretical Mathematics at the Weizmann Institute of Science. In
2000, he joined the Dept. of Electrical Engineering-Systems, Tel Aviv University, where
he is currently a Professor. Dr. Margaliot’s research interests include the stability analysis
of differential inclusions and switched systems, optimal control theory, computation with
words, Boolean control networks, contraction theory, totally positive differential systems,
and systems biology.