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

Frankowska, Halina (1987), Local Controllability and Infinitesimal Generators of Semigroups of Set-Valued Maps, SIAM Journal on Control and Optimization, 25, 2, p. 412-432. http://dx.doi.org/10.1137/0325024

Type
Article accepté pour publication ou publié
Date
1987
Journal name
SIAM Journal on Control and Optimization
Volume
25
Number
2
Publisher
SIAM
Pages
412-432
Publication identifier
Metadata
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Author(s)
Frankowska, Halina
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.
Subjects / Keywords
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