Linear systems,and ARMA- and Fliess models |
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| Authors: | Vakhtang Lomadze M. Khurram Zafar |
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| Affiliation: | 1. Abdus Salam School of Mathematical Sciences , GC University , Lahore, Pakistan;2. A. Razmadze Mathematical Institute , Tbilisi 0193, Georgia vakholoma@yahoo.com;4. Abdus Salam School of Mathematical Sciences , GC University , Lahore, Pakistan |
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| Abstract: | Linear (dynamical) systems are central objects of study (in linear system theory), and ARMA- and Fliess models are two very important classes of models that are used to represent them. This article is concerned with the question of what is a relation between them (in case of higher dimensions). It is shown that the category of linear systems, the ‘weak’ category of ARMA-models and the category of Fliess models are equivalent to each other. |
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| Keywords: | behaviour linear system ARMA-model Fliess model weak equivalence stable isomorphism |
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