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

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Problem 1.9

A Farkas lemma for behavioral inequalities

A. A. (Tonny) ten Dam

Information, Communication and Technology Division

National Aerospace Laboratory NLR

P.O. Box 90502 , 1006 BM Amsterdam

The Netherlands

tendam@nlr.nl

J.W. (Hans) Nieuwenhuis

Faculty of Economics

University of Groningen

Postbus 800, 9700 AV Groningen

The Netherlands

j.w.nieuwenhuis@eco.rug.nl

1 DESCRIPTION OF THE PROBLEM

Within the systems and control community there has always been an interest in minimality issues. In this chapter we conjecture a Farkas Lemma for behavioral inequalities that, when true, will allow to study minimality and elimation issues for behavioral systems described by inequalities.

Based on the static case, one may expect that such a relation ...

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