Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2006-4pp.83-86

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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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