Invariant submanifolds for affine control systems
Tom 124 / 2020
Annales Polonici Mathematici 124 (2020), 61-73
MSC: Primary 57R27, 58A17, 93B05; Secondary 37C10, 93C15.
DOI: 10.4064/ap190327-16-10
Opublikowany online: 11 December 2019
Streszczenie
Given an affine control system we present a method of construction of submanifolds that are invariant under controls assuming that the linear span of f, g_1, \ldots , g_m has constant rank. We use the method of reduction of Pfaffian systems to the largest integrable subsystem and finding first integrals and generalized first integrals for the vector fields f and g_j.
