 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.I. Kalenova and V.M. Morozov, "A new class of reducible linear time-varying systems and its relation to the optimal control problem," J. Appl. Math. Mech. 80 (2), 105-112 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
2 |
Pages |
105-112 |
| DOI |
10.1016/j.jappmathmech.2016.06.007 |
| Title |
A new class of reducible linear time-varying systems and its relation to the optimal control problem |
| Author(s) |
V.I. Kalenova (Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia, kalen@imec.msu.ru)
V.M. Morozov (Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia) |
| Abstract |
The previously described classes of linear time-varying systems that can be reduced to time-invariant systems are enumerated, and new constructively reducible first- and second-order systems are introduced. A theorem regarding the effective necessary and sufficient conditions for reducibility is formulated and proved for second-order linear time-varying systems. For first-order linear time-varying systems of the new class, a comparison is made with the systems of equations that appear when the optimal control problem with a quadratic quality criterion is solved. |
| Received |
20 May 2015 |
| Link to Fulltext |
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