Rosenbrock models and their homotopy equivalence (Q1611919)
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scientific article; zbMATH DE number 1790293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rosenbrock models and their homotopy equivalence |
scientific article; zbMATH DE number 1790293 |
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Rosenbrock models and their homotopy equivalence (English)
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28 August 2002
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Based on notions developed by Rosenbrock, Kalman and Willems, to name the most important predecessors of Lomadze's paper, the author defines a homotopy equivalence of Rosenbrock systems and he defines the states and motions of a system, proving that these are homotopy invariants. According to the author, related work has been written by \textit{J. F. Pommaret} and \textit{A. Quadrat}, Equivalences of linear control systems, in: Proceedings of MTNS Symposium, Perpignan (2000) and \textit{A. Quadrat}, Analyse algébraique des systèmes de contrôle linéaires multidimensionnels, Ph.D. Thesis, Ecole National des Ponts et Chaussées, 1999 (available from www.ceramics.enpc.fr.).
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pole modules
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zero modules
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state space
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motions
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homotopy equivalence
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Rosenbrock systems
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states
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