Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 197, Pages 28–35
DOI: https://doi.org/10.36535/0233-6723-2021-197-28-35 (Mi into857) 		 
Stability of completely controllable systems

A. Ya. Narmanov

National University of Uzbekistan named after Mirzo Ulugbek, Tashkent
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DOI: https://doi.org/10.36535/0233-6723-2021-197-28-35
Abstract: In this work, we discuss the stability of completely controllable systems defined on smooth manifolds. It is known that the controllability sets of symmetric systems generate singular foliations. In the case where the controllability sets have the same dimension, regular foliation arise. Thus, we can apply the methods of foliation theory to problems in control theory. In this paper, we present some results on the possibility of applying theorems on the stability of layers to the problem on the stability of completely controllable systems.
Keywords: control system, controllability set, orbit, completely controllable system, singular foliation.
Document Type: Article
UDC: 517.936, 517.925.53
MSC: 37C10, 57R27
Language: Russian
Citation: A. Ya. Narmanov, “Stability of completely controllable systems”, Geometry and topology, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197, VINITI, Moscow, 2021, 28–35
Citation in format AMSBIB
\Bibitem{Nar21}
\by A.~Ya.~Narmanov
\paper Stability of completely controllable systems
\inbook Geometry and topology
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 197
\pages 28--35
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into857}
\crossref{https://doi.org/10.36535/0233-6723-2021-197-28-35}
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