Geodesic
On one approach to the optimization of state-linear controlled systems with terminal constraints
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 89-95

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In the class of state-linear optimal control problems with terminal constraints, we consider the problem of nonlocal improvement of an admissible control preserving all terminal constraints. We apply an approach based on solving a special system of functional equations. The corresponding system is interpreted as a fixed-point problem; to the solution of this problem we apply the theory of fixed points.
Keywords: optimal control problem, nonlocal improvement, functional equation, fixed-point problem.
Mots-clés : terminal constraint 
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     author = {D. O. Trunin},
     title = {On one approach to the optimization of state-linear controlled systems with terminal constraints},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {89--95},
     publisher = {mathdoc},
     volume = {213},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_213_a8/}
}
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D. O. Trunin. On one approach to the optimization of state-linear controlled systems with terminal constraints. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Mechanics, and Differential Equations, Tome 213 (2022), pp. 89-95. http://geodesic.mathdoc.fr/item/INTO_2022_213_a8/