Necessary condition for the stabilizability of nonlinear systems with respect to a part of variables in the class of discontinuous controls

We investigate the problem of the existence of a discontinuous feedback that guarantees the stabilization of a nonlinear control system with respect to a part of variables. A solution of the system is defined in the Filippov sense. We establish a necessary condition for stabilization with respect to...

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Bibliographic Details
Date:2006
Main Authors: Kovalev, A. M., Kravchenko, N. V., Nespirnyi, V. N., Ковалев, А. М., Кравченко, Н. В., Неспирный, В. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3544
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal