For control-affine systems on non-compact manifolds, the notion of strong chain control sets
is introduced and related to the strong chain transitivity of the associated control flows. Affine …

For periodic linear control systems with bounded control range, an autonomized system is
introduced by adding the phase to the state of the system. Here, a unique control set (ie, a …

Dynamics of Linear Control Systems on the Group of Proper Motions | Journal of Dynamical
and Control Systems Skip to main content SpringerLink Account Menu Find a journal Publish …

We show that a bilinear control system is approximately controllable if and only if it is
controllable in R n∖{0}. We approach this property by looking at the foliation made by the …

In this article, we completely describe the control sets of one-input linear control systems on
solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associate …

For affine control systems with bounded control range, the control sets, ie, the maximal
subsets of complete approximate controllability, are studied using spectral properties. For …

On the global behavior of linear flows Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 151, Number 1, January 2023, Pages 135–149 https://doi.org/10.1090/proc/16189 …

For bilinear control systems in $\mathbb {R}^ d $ we prove, under an accessibility
hypothesis, the existence of a nontrivial compact set $ D\subset\mathbb {R}^ d $ satisfying …