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On Integral Funnels of Controlled Systems Changed within Several Small Time Intervals

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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.

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Funding

The work was supported by the Russian Science Foundation, project no. 19-11-00105, https://rscf.ru/en/project/19-11-00105/.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 620990, Yekaterinburg, Russia

    V. N. Ushakov, A. A. Ershov & A. V. Ushakov

Authors
  1. V. N. Ushakov
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  2. A. A. Ershov
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  3. A. V. Ushakov
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Correspondence to V. N. Ushakov, A. A. Ershov or A. V. Ushakov.

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Translated by O. Polyakov

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Ushakov, V.N., Ershov, A.A. & Ushakov, A.V. On Integral Funnels of Controlled Systems Changed within Several Small Time Intervals. Mech. Solids 58, 2826–2854 (2023). https://doi.org/10.3103/S0025654423080198

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