 | | 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: | | 10482 |
| In Russian (ÏÌÌ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.I. Slyn’ko, "A qualitative analysis of sets of trajectories of mechanical systems," J. Appl. Math. Mech. 80 (1), 24-32 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
1 |
Pages |
24-32 |
| DOI |
10.1016/j.jappmathmech.2016.05.005 |
| Title |
A qualitative analysis of sets of trajectories of mechanical systems |
| Author(s) |
V.I. Slyn’ko (S.P. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev, Ukraine, vitstab@ukr.net) |
| Abstract |
The evolution of geometric measures (volume, surface area) of sets of attainability of linear controlled mechanical systems with constant parameters is studied. Lyapunov's direct method, the comparison method, and theory of mixed volumes are used. Based on the general comparison theorem, estimates are obtained for the solutions of differential equations with a generalized Hukuhara derivative that describe the evolution of regions of attainability. For linear controlled systems with one degree of freedom, the maximum boundedness conditions are obtained for the area of the set of attainability. Examples of the application of the obtained results are given. |
| Received |
26 November 2014 |
| Link to Fulltext |
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