Geodesic
Gamkrelidze Convexification and Bogolyubov's Theorem
Matematičeskie zametki, Tome 107 (2020) no. 4, pp. 483-497

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The interconnection between an optimal control problem and its convexification in the sense of Gamkrelidze and Bogolyubov is studied. Bogolyubov's classical result for the simplest problem of variational calculus is obtained as a corollary.
Keywords: optimal control problem, second conjugate function
Mots-clés : convexification. 
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     author = {E. R. Avakov and G. G. Magaril-Il'yaev},
     title = {Gamkrelidze {Convexification} and {Bogolyubov's} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--497},
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     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_4_a0/}
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E. R. Avakov; G. G. Magaril-Il'yaev. Gamkrelidze Convexification and Bogolyubov's Theorem. Matematičeskie zametki, Tome 107 (2020) no. 4, pp. 483-497. http://geodesic.mathdoc.fr/item/MZM_2020_107_4_a0/