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Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels

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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.

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Funding

This work was performed within the research conducted at the Ural Mathematical Center and was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2022-874).

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Correspondence to V. N. Ushakov, A. A. Ershov or A. V. Ushakov.

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The authors declare that they have no conflicts of interest.

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Translated by I. Tselishcheva

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Ushakov, V.N., Ershov, A.A. & Ushakov, A.V. Control Systems Depending on a Parameter: Reachable Sets and Integral Funnels. Mech. Solids 57, 1672–1688 (2022). https://doi.org/10.3103/S0025654422070172

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  • DOI: https://doi.org/10.3103/S0025654422070172

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