Geodesic
Game Problem of Target Approach for Nonlinear Control System
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 2, pp. 122-139

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The paper deals with the game problem of approach of a nonlinear control system with a target set at a fixed terminal time. The key property of stability and stable bridges is investigated in the posed positional differential game. The scheme for approximate calculation of the maximum $u$-stable bridge is proposed in the target approach problem, and the correctness of the construction is justified.
Keywords: control system, differential inclusion, game problem of target approach, $u$-stable bridge, $u$-stable path, fixed terminal time, approximating system of sets. 
@article{MGTA_2023_15_2_a7,
     author = {Vladimir N. Ushakov and Alexander M. Tarasyev},
     title = {Game {Problem} of {Target} {Approach} for {Nonlinear} {Control} {System}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {122--139},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2023_15_2_a7/}
}
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Vladimir N. Ushakov; Alexander M. Tarasyev. Game Problem of Target Approach for Nonlinear Control System. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 2, pp. 122-139. http://geodesic.mathdoc.fr/item/MGTA_2023_15_2_a7/