Geodesic
Applicability of the tent method to stabilize the programmed periodic motions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 50-54 
K. A. Tuzov. Applicability of the tent method to stabilize the programmed periodic motions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 50-54. http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a7/
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     title = {Applicability of the tent method to stabilize the programmed periodic motions},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The search problem for optimal parameters is considered to stabilize linear periodic control systems. Such a system is reduced to a stationary form; then, Boltyanski's tent method is applied. The efficiency of this procedure is illustrated by an example.

[1] Boltyanskii V.G., “Metod shatrov v teorii ekstremalnykh zadach”, Uspekhi matem. nauk, 30:3(183) (1975), 1–54

[2] Aleksandrov V.V., Voronin L.I., Glazkov Yu.N., Ishlinskii A.Yu., Sadovnichii V.A., Matematicheskie zadachi dinamicheskoi imitatsii aerokosmicheskikh poletov, Izd-vo MGU, M., 1995

[3] Malkin I.G., Teoriya ustoichivosti dvizheniya, Nauka, M., 1966 | MR

[4] Alexandrov V.V., Bugrov D.I., Corona Morales G., Tikhonova K.V., “Tent-method application for minmax stabilization and maxmin testing”, IMA J. Math. Control Info., 34:1 (2015), 15–25 | MR