M. A. Komarov, “Structure of the local controllability set for a family of <nobr>$2$</nobr>-systems on a plane near the zero indicatrix point”, CMFD, 2011, Volume 42,Pages <nobr>134

Structure of the local controllability set for a family of $2$-systems on a plane near the zero indicatrix point

M. A. Komarov

Vladimir State University, Vladimir, Russia

Abstract: In this work it is shown that if certain natural conditions of community of position hold, then critical points of the local controllability set for a $2$-parameter family of $2$-systems on a plane near the point with zero indicatrix of the velocity are well defined by first derivatives of fields of the family at the point. A method to construct this set near such a point is given.

UDC: 517.9