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On reachable sets for a class of nonlinear systems with constraints

Achhab, M.E.;Wertz, Vincent
(1999) Journal of Mathematical Analysis and Applications — Vol. 229, n° 1, p. 105-118 (1999)

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Authors
  • Achhab, M.E.
    Author
  • Wertz, VincentUCLouvain
    Author
Abstract
The determination of the reachable set for a class of nonlinear systems with control and state trajectory constraints is investigated. The main result links this problem with the determination of the set of admissible controls, for which procedures already exist. The paper also gives a procedure to generate an admissible control which steers the system to a reachable state. (C) 1999 Academic Press.
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Achhab, M. E., & Wertz, V. (1999). On reachable sets for a class of nonlinear systems with constraints. Journal of Mathematical Analysis and Applications, 229(1), 105-118. https://doi.org/10.1006/jmaa.1998.6147 (Original work published 1999)