On Integral Funnel of Control Systems, Changed at Several Small Time Interval

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Abstract

A nonlinear control system in a finite-dimensional Euclidean space and on a finite time interval is considered, the dynamics of which changes significantly over several small sections from a given time interval. We study the degree of change in the reachable sets and integral funnels of the system under consideration when it varies in these sections. The corresponding changes are estimated in the Hausdorff metric.

About the authors

V. N. Ushakov

N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS

Author for correspondence.
Email: ushak@imm.uran.ru
Russia, Yekaterinburg

A. A. Ershov

N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS

Author for correspondence.
Email: ale10919@yandex.ru
Russia, Yekaterinburg

A. V. Ushakov

N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS

Author for correspondence.
Email: aushakov.pk@gmail.com
Russia, Yekaterinburg

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