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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...