Graphic approach for the determination of the existence of sequences guaranteeing observability of switched linear systems |
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| Authors: | Sinuhé Martínez-Martínez Nadhir Messai Frédéric Hamelin Noureddine Manamanni Taha Boukhobza |
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| Affiliation: | 1. Centre de Recherche en STIC, Université de Reims Champagne-Ardenne, Reims cedex 2, France;2. Centre de Recherche en Automatique de Nancy, Nancy-University, CNRS UMR 7039, France |
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| Abstract: | This paper deals with the design of sequences allowing the observability of the state of a switched linear system. The proposed method, based on a graph-theoretic approach, needs only the knowledge of the system’s structure. The necessary and sufficient conditions for the existence of at least one switching sequence guaranteeing the observability of a switched structured system are provided. Such conditions are particularly intuitive and they can be implemented with classic algorithms of the graph theory. |
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| Keywords: | Switched systems Observability Switching sequence Graph theory |
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