Algebraic integrability for minimum energy curves
Ivan Yudin; Fátima Silva Leite
Kybernetika (2015)
- Volume: 51, Issue: 2, page 321-334
- ISSN: 0023-5954
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topYudin, Ivan, and Silva Leite, Fátima. "Algebraic integrability for minimum energy curves." Kybernetika 51.2 (2015): 321-334. <http://eudml.org/doc/270124>.
@article{Yudin2015,
abstract = {This paper deals with integrability issues of the Euler-Lagrange equations associated to a variational problem, where the energy function depends on acceleration and drag. Although the motivation came from applications to path planning of underwater robot manipulators, the approach is rather theoretical and the main difficulties result from the fact that the power needed to push an object through a fluid increases as the cube of its speed.},
author = {Yudin, Ivan, Silva Leite, Fátima},
journal = {Kybernetika},
keywords = {Darboux polynomials; drag power; Euler–Lagrange equations; grading; integrability; vector fields; Darboux polynomials; drag power; Euler-Lagrange equations; grading; integrability; vector fields},
language = {eng},
number = {2},
pages = {321-334},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Algebraic integrability for minimum energy curves},
url = {http://eudml.org/doc/270124},
volume = {51},
year = {2015},
}
TY - JOUR
AU - Yudin, Ivan
AU - Silva Leite, Fátima
TI - Algebraic integrability for minimum energy curves
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 2
SP - 321
EP - 334
AB - This paper deals with integrability issues of the Euler-Lagrange equations associated to a variational problem, where the energy function depends on acceleration and drag. Although the motivation came from applications to path planning of underwater robot manipulators, the approach is rather theoretical and the main difficulties result from the fact that the power needed to push an object through a fluid increases as the cube of its speed.
LA - eng
KW - Darboux polynomials; drag power; Euler–Lagrange equations; grading; integrability; vector fields; Darboux polynomials; drag power; Euler-Lagrange equations; grading; integrability; vector fields
UR - http://eudml.org/doc/270124
ER -
References
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- Noakes, L., Heinzinger, G., Paden, B., 10.1093/imamci/6.4.465, IMA J. Math. Control Inform. 6 (1989), 4, 465-473. Zbl0698.58018MR1036158DOI10.1093/imamci/6.4.465
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