Geodesic
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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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. 
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     author = {Josif Vukovi\'c},
     title = {On optimal control of motion of a mechanical system of a restricted kinetic energy},
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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/