Local Controllability and Infinitesimal Generators of Semigroups of Set-Valued Maps

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Date
1987
Dewey
Probabilités et mathématiques appliquées
Sujet
differential inclusion; local controllability; reachable set; derivative of solution with respect to initial condition; derivative of a set-valued map; generalized tangent cone; Clarke’s tangent cone
Journal issue
SIAM Journal on Control and Optimization
Volume
25
Number
2
Publication date
1987
Article pages
412-432
Publisher
SIAM
DOI
http://dx.doi.org/10.1137/0325024
URI
https://basepub.dauphine.fr/handle/123456789/13231
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Author
Frankowska, Halina
Type
Article accepté pour publication ou publié
Abstract (EN)
We study the semigroup properties of reachable sets of a differential inclusion \[x' \in F(x)\] using the derivative of the set-valued map which associates to each initial state the set of solutions. The results are applied to the local controllability problem.