The convexity of the reachable set for a bilinear controllable system |
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| Affiliation: | 1. Université Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France;2. Université de Paris, Laboratoire de Probabilités, Statistique et Modélisation (LPSM), F-75013 Paris, France;1. Sorbonne Université, Inria, CNRS, Laboratoire Jacques-Louis Lions (LJLL), Paris, France;2. Inria, Université Côte d''Azur, INRAE, CNRS, Sorbonne Université, Sophia Antipolis, France;1. Politecnico di Milano, Dipartimento di Matematica “F. Brioschi”, Piazza Leonardo da Vinci, 32, I-20133 Milano, Italy;2. Università di Pavia, Dipartimento di Matematica “F. Casorati”, Via Ferrata 5, I-27100 Pavia, Italy;3. Università Bocconi, Dipartimento di Scienze delle Decisioni, Via Roentgen 1, I-20136 Milano, Italy;1. Department of Pathology, Anatomy and Cell Biology, Thomas Jefferson University, Philadelphia, PA 19107, USA;2. Department of Biology, Arcadia University, Glenside, PA 19038, USA;3. Institute for Genomic Biology, University of Illinois, Urbana, IL 61801, USA;4. Department of Neuroscience, Thomas Jefferson University, Philadelphia, PA 19107, USA;5. Department of Physiology and Pennsylvania Muscle Institute, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104, USA |
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| Abstract: | The reachable of a bilinear controllable system, in which the range of allowed control values is a convex polyhedron, is examined. Sufficient conditions of convexity of the reachable set, which enable the maximum principle to be used in the standard form are found. |
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