Relational Control Structures |
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Authors: | Markus Lemmen Marc Schleuter |
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Affiliation: | 1. Fachbereich Maschinenbau, Fachgebiet Me-, Steuer- und Regelungstechnik (Prof. Dr.-Ing. H. Schwarz), Gerhard-Mercator-Universit?t - GH Duisburg, D-47048, Duisburg, Germany 2. Fachbereich Mathematik, Fachgebiet Geometrie, Algebra, (Prof. Dr. rer. nat. H.-J. Arnold), Gerhard-Mercator-Universit?t — GH Duisburg, D-47048, Duisburg, Germany
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Abstract: | In this paper, we outline the use of relational control structures (Regel-Relative) to describe continuous-time linear systems and show how well known time-invariance from control theory can be defined by these algebraic structures. Furthermore, such important system properties as controllability and reachability are introduced to arbitrary (nonlinear, non-smooth, discontinuous) dynamical systems. |
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