 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| V.N. Ushakov, A.A. Ershov, and A.V. Ushakov, "Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels," Mech. Solids. 57 (7), 1672-1688 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
7 |
Pages |
1672-1688 |
| DOI |
10.3103/S0025654422070172 |
| Title |
Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels |
| 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 control system depending on a parameter is considered in a finite-dimensional Euclidean space and on a finite time interval. We study the dependence on the parameter of the reachable sets and integral funnels of the differential inclusion corresponding to the system. Under certain conditions on the control system, the degree of this parameter dependence is estimated. |
| Keywords |
control system, differential inclusion, reachable set, integral funnel, parameter dependence, approximation |
| Received |
24 April 2021 | Revised |
20 November 2021 | Accepted |
25 November 2021 |
| Link to Fulltext |
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