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.

DOI: 10.1051/cocv/2015036

Keywords: Differential inclusion, almost convex set, attainable set

^{1}; Azzam-Laouir, Dalila

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@article{COCV_2017__23_1_1_0, author = {Affane, Doria and Azzam-Laouir, Dalila}, title = {Almost convex valued perturbation to time optimal control sweeping processes}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {1--12}, publisher = {EDP-Sciences}, volume = {23}, number = {1}, year = {2017}, doi = {10.1051/cocv/2015036}, mrnumber = {3601013}, zbl = {1366.34029}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2015036/} }

TY - JOUR AU - Affane, Doria AU - Azzam-Laouir, Dalila TI - Almost convex valued perturbation to time optimal control sweeping processes JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2017 SP - 1 EP - 12 VL - 23 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2015036/ DO - 10.1051/cocv/2015036 LA - en ID - COCV_2017__23_1_1_0 ER -

%0 Journal Article %A Affane, Doria %A Azzam-Laouir, Dalila %T Almost convex valued perturbation to time optimal control sweeping processes %J ESAIM: Control, Optimisation and Calculus of Variations %D 2017 %P 1-12 %V 23 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2015036/ %R 10.1051/cocv/2015036 %G en %F COCV_2017__23_1_1_0

Affane, Doria; Azzam-Laouir, Dalila. Almost convex valued perturbation to time optimal control sweeping processes. ESAIM: Control, Optimisation and Calculus of Variations, Volume 23 (2017) no. 1, pp. 1-12. doi : 10.1051/cocv/2015036. http://archive.numdam.org/articles/10.1051/cocv/2015036/

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