Abstract
Let 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.
Original language | English |
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Pages (from-to) | 370-379 |
Number of pages | 10 |
Journal | Open Mathematics |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018 Ayala and Todco 2018.
Keywords
- Boundedness
- Control set
- Decomposable group
- Linear system