 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| D.I. Bugrov and A.M. Formal'skii, "Time dependence of the attainability regions of third order systems," J. Appl. Math. Mech. 81 (2), 106-113 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
2 |
Pages |
106-113 |
| DOI |
10.1016/j.jappmathmech.2017.08.004 |
| Title |
Time dependence of the attainability regions of third order systems |
| Author(s) |
D.I. Bugrov (Lomonosov State University, Moscow, Russia, d.bugrov@mech.math.msu.su)
A.M. Formal'skii (Lomonosov State University, Moscow, Russia) |
| Abstract |
A linear steady third order system with one controlling (perturbing) action that is bounded in absolute magnitude is considered. The matrix specifying the system has one real and two complex conjugate eigenvalues. The behaviour of the boundary of the attainability region of this system as time increases is studied. It is shown that the structure of the boundary of the attainability region depends on the relation between the real eigenvalue and the real part of the complex conjugate eigenvalues. |
| Received |
27 October 2016 |
| Link to Fulltext |
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