Controllability of Linear Systems on Generalized Heisenberg Groups

TL;DR

This paper investigates the controllability of linear systems on generalized Heisenberg groups, establishing necessary and sufficient conditions, and introducing decoupled systems with specific controllability criteria.

Contribution

It provides new controllability conditions for linear systems on generalized Heisenberg groups and introduces the concept of decoupled systems with tailored criteria.

Findings

Necessary controllability conditions established

Sufficient controllability conditions provided

Controllability criteria for decoupled systems detailed

Abstract

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems, and more precise controllability criteria are stated for them.