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Minimal trajectories of nonconvex differential inclusions

Frankowska, Halina; Kaskosz, Barbara (1989), Minimal trajectories of nonconvex differential inclusions, Journal of Optimization Theory and Applications, 61, 3, p. 359-376. http://dx.doi.org/10.1007/BF00941824

Type
Article accepté pour publication ou publié
Date
1989
Journal name
Journal of Optimization Theory and Applications
Volume
61
Number
3
Publisher
Springer
Pages
359-376
Publication identifier
Metadata
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Author(s)
Frankowska, Halina
Kaskosz, Barbara
Abstract (EN)
We consider an optimization problem with endpoint constraints associated with a nonconvex differential inclusion. We give a necessary condition of the maximum principle type for a solution of the problem. Following the approach from Ref. 1, the condition is stated in terms of single-valued selections of the convexified right-hand side of the inclusion.
Subjects / Keywords
Optimal control; nonconvex differential inclusions; endpoint constraints; maximum principle