In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand : , where is the -dimensional euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.
Classification : 49J99
Mots clés : good function, infinite horizon, integrand, overtaking optimal function, turnpike property
@article{COCV_2009__15_4_872_0, author = {Zaslavski, Alexander J.}, title = {Structure of approximate solutions of variational problems with extended-valued convex integrands}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {872--894}, publisher = {EDP-Sciences}, volume = {15}, number = {4}, year = {2009}, doi = {10.1051/cocv:2008053}, zbl = {1175.49002}, mrnumber = {2567250}, language = {en}, url = {www.numdam.org/item/COCV_2009__15_4_872_0/} }
Zaslavski, Alexander J. Structure of approximate solutions of variational problems with extended-valued convex integrands. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 872-894. doi : 10.1051/cocv:2008053. http://www.numdam.org/item/COCV_2009__15_4_872_0/
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