Linear Periodic Systems Over Dioids |
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| Authors: | Sébastien Lahaye Jean Louis Boimond Laurent Hardouin |
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| Affiliation: | (1) Laboratoire d'Ingénierie des Systèmes Automatisés, 62 Ave ND du Lac, 49000 Angers, France |
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| Abstract: | A specification of the linear system theory over dioids is proposed for periodic systems. Using the conventional periodic system theory as a guideline, we study periodic systems for which the underlying algebraic structure is a dioid. The focus is on representations (impulse response and state model) associated with such systems, the properties of these representations as well as the state space realization. |
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| Keywords: | discrete event systems linear periodic systems dioids state space realization |
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