Title: On reduction of a smooth system linear in the control
Authors: A.A. Agrachev, A.V. Sarychev
Journal title: Mathematics of the USSR-Sbornik
A. A. Agrachev, A. V. Sarychev, “On reduction of a smooth system linear in the control”, Mathematics of the USSR-Sbornik, 1987, 58:1, 15–30
A method is presented for reducing a smooth system linear in the control on an -dimensional manifold to a nonlinear system on an -dimensional manifold. This reduction is used to obtain sufficient conditions for a high order of local controllability of the system, and the problem of a time-optimal control of the angular momentum of a rotating rigid body is investigated.
MathNet (ENG): http://mi.mathnet.ru/eng/msb1848