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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 10.2

When is a pair of matrices stable?

Vincent D. Blondel, Jacques Theys

Department of Mathematical Engineering

University of Louvain

Avenue Georges Lematre, 4

B-1348 Louvain-la-Neuve

Belgium

blondel@inma.ucl.ac.be, theys@inma.ucl.ac.be

John N. Tsitsiklis

Laboratory for Information and Decision Systems

Massachusetts Institute of Technology

Cambridge, MA 02139

USA

jnt@mit.edu

1 STABILITY OF ALL PRODUCTS

We consider problems related to the stability of sets of matrices. Let Σbe a finite set of n × n real matrices. Given a system of the form

-257637153

suppose that it is known that for each t, but that the exact value of is not a priori known because ...

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