Local Controllability around Closed Orbits

Marek Grochowski

Bulletin of the Polish Academy of Sciences. Mathematics (2014)

  • Volume: 62, Issue: 1, page 77-85
  • ISSN: 0239-7269

Abstract

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We give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.

How to cite

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Marek Grochowski. "Local Controllability around Closed Orbits." Bulletin of the Polish Academy of Sciences. Mathematics 62.1 (2014): 77-85. <http://eudml.org/doc/281162>.

@article{MarekGrochowski2014,
abstract = {We give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.},
author = {Marek Grochowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {control systems; controllability; closed orbits},
language = {eng},
number = {1},
pages = {77-85},
title = {Local Controllability around Closed Orbits},
url = {http://eudml.org/doc/281162},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Marek Grochowski
TI - Local Controllability around Closed Orbits
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 1
SP - 77
EP - 85
AB - We give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.
LA - eng
KW - control systems; controllability; closed orbits
UR - http://eudml.org/doc/281162
ER -

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