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

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Problem 6.1

Copositive Lyapunov functions

M. K. 17275amlibel

Department of Mathematics

University of Groningen

P.O. Box 800, 9700 AV Groningen

The Netherlands

k.camlibel@math.rug.nl

J. M. Schumacher

Department of Econometrics and Operations Research

Tilburg University

P.O. Box 90153, 5000 LE Tilburg

The Netherlands

j.m.schumacher@kub.nl

1 PRELIMINARIES

16263

2 MOTIVATION

Lyapunov stability theory is one of the ever green topics in systems and control. For (finite dimensional) linear systems, the following theorem is very well-known.

Theorem 1:[3, Theorem ...

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