Multidimensional behaviours: an algebraic approach to control theory for PDE |
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| Authors: | Eva Zerz |
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| Affiliation: | Department of Mathematics , University of Kaiserslautern , 67663 Kaiserslautern, Germany E-mail: zerz@mathematik.uni-kl.de |
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| Abstract: | This paper gives an overview of the algebraic theory of multidimensional behaviours, and it contains some new aspects as well. Some known results are restated with a new proof. After a short introduction to behavioural systems theory, we briefly describe the mathematical background of the algebraic approach. Then we study structural properties such as autonomy and over-determined systems on the one hand, and controllability and flat systems on the other. |
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