Geodesic
Methods of boundary-value problems for improving control in systems with constraints
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 2, Tome 239 (2025), pp. 43-52

Voir la notice de l'article provenant de la source Math-Net.Ru

In the class of state-nonlinear optimal control problems with constraints, a new approach to improving controls is proposed. This approach is based on solving special boundary-value problems by perturbation methods and parametrization of the optimal control problem by the perturbation parameter. The solution of the constructed unperturbed boundary-value problem is reduced to the solution of an algebraic equation for one unknown parameter. To solve the perturbed boundary-value problem, an iterative process is proposed, at each iteration of which a problem is solved that is similar in complexity to the unperturbed problem.
Keywords: controlled system with constraints, boundary-value problem of control improvement, iterative algorithms
Mots-clés : perturbation method 
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     author = {D. O. Trunin},
     title = {Methods of boundary-value problems for improving control in systems with constraints},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {43--52},
     publisher = {mathdoc},
     volume = {239},
     year = {2025},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2025_239_a4/}
}
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D. O. Trunin. Methods of boundary-value problems for improving control in systems with constraints. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 6th International Conference "Dynamic Systems and Computer Science: Theory and Applications" (DYSC 2024). Irkutsk, September 16-20, 2024. Part 2, Tome 239 (2025), pp. 43-52. http://geodesic.mathdoc.fr/item/INTO_2025_239_a4/