Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2010-1pp.84-94

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V.A. Rusanov and D.Yu. Sharpinskii, "The theory of the structural identification of non-linear multidimensional systems," J. Appl. Math. Mech. 74 (1), 84-94 (2010)
Year 2010 Volume 74 Issue 1 Pages 84-94
Title The theory of the structural identification of non-linear multidimensional systems
Author(s) V.A. Rusanov (Irkutsk, Russia, v.rusanov@mail.ru)
D.Yu. Sharpinskii (Irkutsk, Russia)
Abstract The qualitative properties of a posteriori dynamic processes, which allow of a continuous Kalman-Mesarovic realization in a class of non-linear time-invariant multidimensional differential systems of minimum dynamic order are investigated when there are no constantly acting preset controls. It is shown that, in the general case, there are structural obstacles on this route. A constructive procedure for obtaining such differential realizations is proposed which is illustrated taking the example of spatial rotational motion (with damping), described by Euler's equations.
Received 05 May 2008
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