Geodesic
Almost convex valued perturbation to time optimal control sweeping processes
Affane, Doria1 ; Azzam-Laouir, Dalila1 
1 Laboratory of Pure and Applied Mathematics, University of Jijel, 18000 Jijel, Algeria.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 1, pp. 1-12

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In this work, we study the existence of solutions of a perturbed sweeping process and of a time optimal control problem under a condition on the perturbation that is strictly weaker than the usual assumption of convexity.

Reçu le :
DOI : 10.1051/cocv/2015036
Classification : 34A60, 28A25, 28A20
Keywords: Differential inclusion, almost convex set, attainable set

Affane, Doria 1 ; Azzam-Laouir, Dalila 1

1 Laboratory of Pure and Applied Mathematics, University of Jijel, 18000 Jijel, Algeria. 
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Affane, Doria; Azzam-Laouir, Dalila. Almost convex valued perturbation to time optimal control sweeping processes. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 1, pp. 1-12. doi: 10.1051/cocv/2015036

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