Title :
On geodesic lines and first integrals in the configuration subspace V(m)/spl sub/V(n) evaluated from the problem of time minimization in case of displacement of a dynamical system in a configuration space V(n)
Author :
V. Covic;S. Markovic
Author_Institution :
Fac. of Mech. Eng., Belgrade, Yugoslavia
Abstract :
The purpose of this paper is to show that in the case of a conservative dynamical system subject to the action of holonomic scleronomic constraints, generalized forces (controls) are of the same form as in the case of motion of a dynamical system on Painleve´s singular trajectories which represent geodesic lines. We show that, for a whole range of problems trajectories of a dynamical system in a subspace V(m) included in the configuration space V(n) (m/spl les/n) represent, in fact, geodesic lines. Results are illustrated by example.
Keywords :
"Force control","Integral equations","Gravity","Differential equations","Mechanical engineering","Motion control","Control systems","Lagrangian functions","Kinetic theory","Potential energy"
Conference_Titel :
Systems, Man, and Cybernetics, 1996., IEEE International Conference on
Print_ISBN :
0-7803-3280-6
DOI :
10.1109/ICSMC.1996.565563