Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2005-2pp.39-45

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V. A. Svetlitskii, "Time-optimal control of two components of the state vector of a linear mechanical system," Mech. Solids. 40 (2), 39-45 (2005)
Year 2005 Volume 40 Number 2 Pages 39-45
Title Time-optimal control of two components of the state vector of a linear mechanical system
Author(s) V. A. Svetlitskii (Moscow)
Abstract A special case of the time-optimal control problem for a linear mechanical system with a finite number of degrees of freedom is considered. It is necessary to provide zero values for prescribed two components of the state n-vector of the system in a minimal time. An algorithm for solving this problem is presented for the general case where the coefficients of the governing equations and the bounds of the admissible intervals for control variables depend on time.
References
1.  L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Fizmatgiz, Moscow, 1961.
2.  V. A. Svetlitskii, Dynamics of Launch of Flying Vehicles [in Russian], Nauka, Moscow, 1986.
3.  V. A. Svetlitskii, "Determination of the optimal law of change of a control function," Izv. Vuzov. Mashinostroenie, No. 3, pp. 135-138, 1966.
Received 25 June 2004
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