Title of article :
FOLIATION THEORY AND ITS APPLICATIONS
Author/Authors :
NARMANOV, A.YA. National University of Uzbekistan, Uzbekistan , KAYPNAZAROVA, G. Nukus State Pedagogical Institute of the Republic of Karakalpakistan, Karakalpakistan
Abstract :
Subject of present paper is the review of results of authors on foliation theory and applications of foliation theory in control systems. The paper consists of two parts. In the first part the results of authors on foliation theory are presented, in the second part the results on applications of foliation theory in the qualitative theory of control systems are given. In paper everywhere smoothness of a class C^∞ is considered.
Keywords :
a Riemannian manifold , a foliation , a leaf , holonomy group , local stability theorem , level surfaces , metric function , total geodesic submanifold , connection , foliation with singularities , a orbit , control system , controllability set
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
