Controllability of linear systems on Heisenberg groups ℍ n

Abstract

This paper is devoted to the study of global controllability of linear systems on higher dimensional Heisenberg groups . Necessary conditions and sufficient ones are provided. They are compared to the known necessary and sufficient conditions on stated in Dath and Jouan [(2016). Controllability of linear systems on low dimensional nilpotent and solvable Lie groups. Journal of Dynamical and Control Systems, 22(2), 207–225]. The notion of decoupled systems is introduced in order to get examples and counter-examples, and more precise controllability criteria are stated for them.