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Weak reachability and controllability of discrete-time nonlinear systems: generic approach and singular points |
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| Authors: | T. Mullari Ü. Kotta Z. Bartosiewicz M. A. Sarafrazi C. H. Moog E. Pawluszewicz |
| Affiliation: | 1. Tallinn University of Technology, Tallinn, Estoniatanel.mullari@ttu.ee;3. Tallinn University of Technology, Tallinn, Estonia!["ORCID]({"type":"image","src":"/templates/jsp/images/orcid.png"} "\"ORCID") https://orcid.org/0000-0002-7697-769X;4. Bialystok University of Technology, Bialystok, Polandhttps://orcid.org/0000-0002-7250-4350;5. University of Applied Science and Technology, Tehran, Iran;6. Laboratoire des Sciences du Numérique de Nantes, Nantes, France;7. Bialystok University of Technology, Bialystok, Polandhttps://orcid.org/0000-0002-3297-7970 |
| Abstract: | ABSTRACTThe paper finds the singular points from which (to which) the generically accessible system is not weakly reachable (controllable) in k steps. These points are found with the help of the space of vector fields, being the discrete-time analogue of the strong accessibility distribution. Unlike in the continuous-time case, a separate object is needed to find the singular points related to weak reachability. |
| Keywords: | Nonlinear system weak reachability weak controllability discrete-time singularities |