FOLIATION THEORY AND ITS APPLICATIONSA.YA. NARMANOV, G. KAYPNAZAROVA (pp. 112-126)
Abstract.Subject of present paper is the review of results of authors on foliation theory andapplications of foliation theory in control systems. The paper consists of two parts. In the firstpart the results of authors on foliation theory are presented, in the second part the results onapplications of foliation theory in the qualitative theory of control systems are given. In papereverywhere smoothness of a class considered
Keywords: Riemannian manifold, a foliation, a leaf, holonomy group, local stability theorem,level surfaces, metric function, total geodesic submanifold, connection, foliation with singulari-ties, a orbit, control system, controllability set.