On optimal control of motion of a mechanical system of a restricted kinetic energy
Theoretical and applied mechanics, Tome 8 (1982) no. 1, p. 143
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The problem of optimal control of the movement of a holonomic, scleronomic mechanical system of limited kinetic energy, under the effect of control that has the nature of a generalized force, of limited intensity, is discussed.
The motion is observed in the phase space, so the condition of the limitation of the kinetic energy determines a closed set in that space. By using Pontryagin's maximum principle and other necessary conditions, the structure of the optimal control was determined and a sufficient number of equations and conditions were set for the solution of the problem in its final form.
@article{TAM_1982_8_1_a17,
author = {Josif Vukovi\'c},
title = {On optimal control of motion of a mechanical system of a restricted kinetic energy},
journal = {Theoretical and applied mechanics},
pages = {143 },
year = {1982},
volume = {8},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a17/}
}
Josif Vuković. On optimal control of motion of a mechanical system of a restricted kinetic energy. Theoretical and applied mechanics, Tome 8 (1982) no. 1, p. 143 . http://geodesic.mathdoc.fr/item/TAM_1982_8_1_a17/