 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.N. Ushakov, A.A. Ershov, and A.V. Ushakov, "On Integral Funnels of Controlled Systems Changed within Several Small Time Intervals," Mech. Solids. 58 (8), 2826-2854 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2826-2854 |
| DOI |
10.3103/S0025654423080198 |
| Title |
On Integral Funnels of Controlled Systems Changed within Several Small Time Intervals |
| Author(s) |
V.N. Ushakov (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620990 Russia, ushak@imm.uran.ru)
A.A. Ershov (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620990 Russia, ale10919@yandex.ru)
A.V. Ushakov (Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620990 Russia, aushakov.pk@gmail.com) |
| Abstract |
A nonlinear controlled system in a finite-dimensional Euclidean space and within a finite time interval is considered, the dynamics of which significantly changes over several small sections from a set time interval. The level of change in the reachable sets and integral funnels of the system under consideration is studied when it varies in these sections. The corresponding changes are estimated in the Hausdorff metric. |
| Keywords |
controlled system, differential inclusion, reachable set, integral funnel, variable structure, system variation, Hausdorff distance |
| Received |
14 November 2022 | Revised |
19 June 2023 | Accepted |
15 July 2023 |
| Link to Fulltext |
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