Affine systems on Lie groups and outer invariance entropy

Abstract

Affine systems on Lie groups are a generalization of linear systems. For such systems, this paper studies what happens with the outer invariance entropy introduced by Colonius and Kawan. It is shown that, as for linear case, the outer invariance entropy of affine systems is given by the sum of the positive real parts of the eigenvalues of a derivation D* that is associated to the drift of the system.