Boundedness control sets for linear systems on Lie groups

Boundedness control sets for linear systems on Lie groups AbstractLet Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior containing e. We concentrate the search for the class of decomposable groups which includes any solvable group and also every compact semisimple group. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Boundedness control sets for linear systems on Lie groups

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Publisher
De Gruyter
Copyright
© 2018 Ayala and Todco, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
D.O.I.
10.1515/math-2018-0035
Publisher site
See Article on Publisher Site

Abstract

AbstractLet Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior containing e. We concentrate the search for the class of decomposable groups which includes any solvable group and also every compact semisimple group.

Journal

Open Mathematicsde Gruyter

Published: Apr 18, 2018

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