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

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Problem 1.10

Regular feedback implementability of linear differential behaviors

H. L. Trentelman

Mathematics Institute

University of Groningen

P.O. Box 800, 9700 AV Groningen

The Netherlands

H.L.Trentelman@math.rug.nl

1 INTRODUCTION

In this short paper, we want to discuss an open problem that appears in the context of interconnection of systems in a behavioral framework. Given a system behavior, playing the role of plant to be controlled, the problem is to characterize all system behaviors that can be achieved by interconnecting the plant behavior with a controller behavior, where the interconnection should be a regular feedback interconnection.

More specifically, we will deal with linear time-invariant differential systems, i.e., dynamical ...

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