RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Guidelines for authors Publishing Ethics Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 CMFD: Year: Volume: Issue: Page: Find

 CMFD, 2011, Volume 42, Pages 134–151 (Mi cmfd196)

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

M. A. Komarov

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.

Full text: PDF file (273 kB)
References: PDF file   HTML file

English version:
Journal of Mathematical Sciences, 2014, 199:6, 667–686

Bibliographic databases:

Document Type: Article
UDC: 517.9

Citation: M. A. Komarov, “Structure of the local controllability set for a family of $2$-systems on a plane near the zero indicatrix point”, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), CMFD, 42, PFUR, M., 2011, 134–151; Journal of Mathematical Sciences, 199:6 (2014), 667–686

Citation in format AMSBIB
\Bibitem{Kom11} \by M.~A.~Komarov \paper Structure of the local controllability set for a~family of $2$-systems on a~plane near the zero indicatrix point \inbook Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3--7, 2009) \serial CMFD \yr 2011 \vol 42 \pages 134--151 \publ PFUR \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd196} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3013834} \transl \jour Journal of Mathematical Sciences \yr 2014 \vol 199 \issue 6 \pages 667--686 \crossref{https://doi.org/10.1007/s10958-014-1893-0} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902843045}