Title :
Control systems on three-dimensional lie groups
Author :
Biggs, Rory ; Remsing, Claudiu C.
Author_Institution :
Dept. of Math. (Pure & Appl.), Rhodes Univ., Grahamstown, South Africa
Abstract :
We consider left-invariant control affine systems evolving on three-dimensional matrix Lie groups. Equivalence and controllability are addressed. The full-rank systems are classified under detached feedback equivalence; a representative is identified for each equivalence class. A characterization of controllability on each group is then determined.
Keywords :
Lie groups; controllability; equivalence classes; feedback; matrix algebra; controllability; detached feedback equivalence class; full-rank systems; left-invariant control affine systems; three-dimensional Lie groups; three-dimensional matrix Lie groups; Aerospace electronics; Algebra; Controllability; Nonhomogeneous media; Standards; Trajectory;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862312
