 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| B. N. Sokolov, "Constrained positional control of a mechanical system near an equilibrium," Mech. Solids. 41 (4), 83-86 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
4 |
Pages |
83-86 |
| Title |
Constrained positional control of a mechanical system near an equilibrium |
| Author(s) |
B. N. Sokolov (Moscow) |
| Abstract |
We propose a method for constructing a geometrically constrained positional
control bringing a linear dynamical system with an arbitrary number of
degrees of freedom from an arbitrary initial state to the origin in finite
time. The method is based on decomposing [1] the system into linear
one-dimensional models and differs from the one proposed in [2] only in
that it does not impose any restrictions on the domain of initial states of
the system. |
| References |
| 1. | E. S. Pyatnitskii,
"Decomposition principle in control of dynamical systems,"
Doklady AN SSSR, Vol. 300, No. 2, pp. 300-303, 1988. |
| 2. | F. L. Chernousko,
"Decomposition and control synthesis in dynamical systems,"
Izv. AN SSSR, Tekhn. Kibernetika, No. 6, pp. 64-82, 1990. |
| 3. | L. S. Pontryagin, V. G. Boltyanskii, and R. V. Gamkrelidze,
Mathematical Theory of Optimal Processes [in Russian],
Nauka, Moscow, 1983. |
| 4. | F. L. Chernousko, L. D. Akulenko, and B. N. Sokolov,
Mathematical Theory of Optimal Processes [in Russian],
Nauka, Moscow, 1983. |
|
| Received |
13 July 2004 |
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