 | | 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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| A.M. Shmatkov, "Non-singular locally optimal ellipsoidal approximation of the estimate of the states of linear systems," J. Appl. Math. Mech. 72 (2), 144-151 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
2 |
Pages |
144-151 |
| Title |
Non-singular locally optimal ellipsoidal approximation of the estimate of the states of linear systems |
| Author(s) |
A.M. Shmatkov (Moscow, Russia, shmatkov@ipmnet.ru) |
| Abstract |
A problem which arises when estimating the attainability domains of linear dynamical systems by ellipsoids is investigated in a short time interval in the case when the initial position of the system in phase space is known precisely for some at least coordinates. A method is proposed which allows one to avoid problems associated with the degeneracy of the right-hand sides of the differential equations of the locally optimal ellipsoidal approximation. The mathematical meaning of these equations is made more precise in the case of the minimization of the phase volume. An example is given. |
| Received |
07 June 2007 |
| Link to Fulltext |
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