This article is cited in 15 papers

On reduction of a smooth system linear in the control

A. A. Agrachev, A. V. Sarychev


Abstract: A method is presented for reducing a smooth system linear in the control on an $n$-dimensional manifold $M$ to a nonlinear system on an $(n-1)$-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.
Bibliography: 7 titles.

UDC: 517.977.1+514.7

MSC: Primary 49B10, 49E15; Secondary 58F25, 93B05

Received: 11.03.1985

 English version: Mathematics of the USSR-Sbornik, 1987, 58:1, 15–30

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