Summary: ON REDUCTION OF A SMOOTH SYSTEM LINEAR IN THE CONTROL
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1987 Math. USSR Sb. 58 15
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MaTeM. C6opHHK Math. USSR Sbornik
TOM 130(172) (1986), Bun. 1 Vol. 58(1987),No.1
ON REDUCTION OF A SMOOTH SYSTEM LINEAR IN THE CONTROL
UDC 517.977.1 + 514.7
A. A. AGRACHEV AND A. V. SARYCHEV
ABSTRACT. A method is presented for reducing a smooth system linear in the control on an
«-dimensional manifold to a nonlinear system on an (n - l)-dimensional manifold.This
reduction is used to obtain sufficient conditions for a high order of local controllabilityof
the system, and the problem of a time-optimal control of the angular momentum of a
rotating rigid body is investigated.