Journal of Dynamical and Control Systems

, Volume 11, Issue 3, pp 353–373 | Cite as

Local Controllability for Linear Control Systems on Lie Groups

Original Article


In this work, we study controllability properties of linear control systems on Lie groups. Using Lie theory of semigroups, we obtain local controllability results for this type of systems. In addition, properties for the flow of the drift vector field X and for the reachable set of the system are presented. Finally, an example on the Heisenberg Lie group is considered, and its properties are proved using the theory developed.

Key words and phrases.

Systems on Lie groups noninvariant systems linear control systems local controllability 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ConnecticutStorrsUSA
  2. 2.Rauser Towers Perrin GmbHReutlingenGermany

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