Impulse capture basins of sets under impulse control systems |
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Authors: | Jean-Pierre Aubin Georges Haddad |
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Institution: | a Université Paris-Dauphine, Centre de Recherche Viabilité, Jeux, Contrôle, F-75775 Paris cx (16), France b Université Panthéon-Sorbonne, President Honoraire, 12, Place du Panthéon, F-75005 Paris, France |
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Abstract: | Given a target contained in a constrained set and an impulse control system governing the evolutions of runs or executions, that are hybrids of continuous and discrete evolutions, this paper studies and provides several characterizations of the capture basin of the target viable in the constrained set. It is the subset of initial runs from which start at least one run viable in the constrained set until it reaches the target in finite time. It also provides algorithms and regulation rules governing the runs that reach the targets while obeying state constraints. |
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Keywords: | Hybrid control Impulse control Detector Capture basin Viability kernel Run Execution |
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