 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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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 |
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
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