The approach problem of a nonlinear controlled system in a finite time interval

A nonlinear controlled system in Euclidean space, which is specified in a finite time interval, is considered. The approach problem of a controlled system with a target set in a finite time interval is studied. An algorithm for an approximate calculation of the solution of the problem is presented....

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Veröffentlicht in:Journal of applied mathematics and mechanics 2017, Vol.81 (2), p.114-128
Hauptverfasser: Matviychuk, A.R., Ukhobotov, V.I., Ushakov, A.V., Ushakov, V.N.
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container_end_page 128
container_issue 2
container_start_page 114
container_title Journal of applied mathematics and mechanics
container_volume 81
creator Matviychuk, A.R.
Ukhobotov, V.I.
Ushakov, A.V.
Ushakov, V.N.
description A nonlinear controlled system in Euclidean space, which is specified in a finite time interval, is considered. The approach problem of a controlled system with a target set in a finite time interval is studied. An algorithm for an approximate calculation of the solution of the problem is presented. An illustrative example of a “flywheel–pendulum” controlled mechanical system is considered.
doi_str_mv 10.1016/j.jappmathmech.2017.08.005
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subjects Algorithms
Euclidean geometry
Finite element analysis
Flywheels
Nonlinear control
Nonlinear equations
Studies
title The approach problem of a nonlinear controlled system in a finite time interval
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