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Title: Control Systems Depending on a Parameter
Authors: Ushakov, V. N.
Ershov, A. A.
Ushakov, A. V.
Kuvshinov, O. A.
Issue Date: 2021
Publisher: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Ural Federal University named after the first President of Russia B.N. Yeltsin
Citation: Control Systems Depending on a Parameter / V. N. Ushakov, A. A. Ershov, A. V. Ushakov, O. A. Kuvshinov. — DOI 10.15826/umj.2021.1.011. — Text : electronic // Ural Mathematical Journal. — 2021. — Volume 7. — № 1. — P. 120-159.
Abstract: A nonlinear control system depending on a parameter is considered in a finite-dimensional Euclidean space and on a finite time interval. The dependence on the parameter of the reachable sets and integral funnels of the corresponding differential inclusion system is studied. Under certain conditions on the control system, the degree of this dependence on the parameter is estimated. Problems of targeting integral funnels to a target set in the presence of an obstacle in strict and soft settings are considered. An algorithm for the numerical solution of this problem in the soft setting has been developed. An estimate of the error of the developed algorithm is obtained. An example of solving a specific problem for a control system in a two-dimensional phase space is given.
Access: Creative Commons Attribution License
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ISSN: 2414-3952
DOI: 10.15826/umj.2021.1.011
metadata.dc.description.sponsorship: This research was supported by the Russian Science Foundation (project no. 19-11-00105).
RSCF project card: 19-11-00105
Origin: Ural Mathematical Journal. 2021. Volume 7. № 1
Appears in Collections:Ural Mathematical Journal

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