Control Systems on the Orthogonal Group SO(4)

Ross M. Adams; Rory Biggs; Claudiu C. Remsing

Communications in Mathematics (2013)

  • Volume: 21, Issue: 2, page 107-128
  • ISSN: 1804-1388

Abstract

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We classify the left-invariant control affine systems evolving on the orthogonal group S O ( 4 ) . The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.

How to cite

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Adams, Ross M., Biggs, Rory, and Remsing, Claudiu C.. "Control Systems on the Orthogonal Group SO(4)." Communications in Mathematics 21.2 (2013): 107-128. <http://eudml.org/doc/260803>.

@article{Adams2013,
abstract = {We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4)$. The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.},
author = {Adams, Ross M., Biggs, Rory, Remsing, Claudiu C.},
journal = {Communications in Mathematics},
keywords = {left-invariant control system; detached feedback equivalence; orthogonal group; left-invariant control system; detached feedback equivalence; orthogonal group},
language = {eng},
number = {2},
pages = {107-128},
publisher = {University of Ostrava},
title = {Control Systems on the Orthogonal Group SO(4)},
url = {http://eudml.org/doc/260803},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Adams, Ross M.
AU - Biggs, Rory
AU - Remsing, Claudiu C.
TI - Control Systems on the Orthogonal Group SO(4)
JO - Communications in Mathematics
PY - 2013
PB - University of Ostrava
VL - 21
IS - 2
SP - 107
EP - 128
AB - We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4)$. The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.
LA - eng
KW - left-invariant control system; detached feedback equivalence; orthogonal group; left-invariant control system; detached feedback equivalence; orthogonal group
UR - http://eudml.org/doc/260803
ER -

References

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