Controllability of nilpotent systems
Bravo, Victor
Banach Center Publications, Tome 31 (1995), p. 35-46 / Harvested from The Polish Digital Mathematics Library
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In this paper we study the controllability property of invariant control systems on Lie groups. In [1], the authors state: ``If there exists a real function strictly increasing on the positive trajectories, then the system cannot be controllable". To develop this idea, the authors define the concept of symplectic vector via the co-adjoint representation. We are interested in finding algebraic conditions to determine the existence of symplectic vectors in nilpotent Lie algebras. In particular, we state a necessary and sufficient condition for controllability in the simply connected nilpotent case.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:262685 
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     author = {Bravo, Victor},
     title = {Controllability of nilpotent systems},
     journal = {Banach Center Publications},
     volume = {31},
     year = {1995},
     pages = {35-46},
     zbl = {0839.93018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p35bwm}
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Bravo, Victor. Controllability of nilpotent systems. Banach Center Publications, Tome 31 (1995) pp. 35-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv32z1p35bwm/

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