About the spectral problem arising from robotic manipulator mechanics
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 3, pp. 22-28
Cet article a éte moissonné depuis la source Math-Net.Ru
A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and the orthonormal system of the eigenfunctions is built up.
Keywords:
spectral boundary problem, eigenfunctions, eigenvalues, characteristic equation.
@article{MAIS_2009_16_3_a2,
author = {V. I. Voytitsky and M. Yu. Zlobina and E. P. Kubyshkin},
title = {About the spectral problem arising from robotic manipulator mechanics},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {22--28},
year = {2009},
volume = {16},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2009_16_3_a2/}
}
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V. I. Voytitsky; M. Yu. Zlobina; E. P. Kubyshkin. About the spectral problem arising from robotic manipulator mechanics. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 3, pp. 22-28. http://geodesic.mathdoc.fr/item/MAIS_2009_16_3_a2/
[1] S. G. Mikhlin, Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970, 512 pp. | MR | Zbl
[2] O. A. Ladyzhenskaya, Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 408 pp. | MR
[3] M. Yu. Garnikhina, E. P. Kubyshkin, “Optimalnoe upravlenie povorotom tverdogo tela s nasledstvenno vyazkouprugim sterzhnem”, Mekhanika tverdogo tela (Izvestiya AN), 2006, no. 5, 29–41