Geodesic
Solution of a local boundary problem for a non-linear non-stationary system in the class of discrete controls
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 18-36

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This article proposes an algorithm of construction for the discrete controlling function which is restricted by a norm and provides transition for the wide class of the systems of non-stationary nonlinear ordinary differential equations from the initial state to the setting final state. A constructive sufficient condition that provides this transition is obtained. Efficiency of the method is demonstrated by the solution of the robot-manipulator control problem and its numerical modeling.
Keywords: discrete control, non-linear non-stationary system, stabilization, boundary conditions. 
@article{VSPUI_2022_18_1_a1,
     author = {A. N. Kvitko and N. N. Litvinov},
     title = {Solution of a local boundary problem for a non-linear non-stationary system in the class of discrete controls},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {18--36},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a1/}
}
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A. N. Kvitko; N. N. Litvinov. Solution of a local boundary problem for a non-linear non-stationary system in the class of discrete controls. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 18-36. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a1/