A CONTROLLABILITY RESULT FOR AFFINE CONTROL SYSTEMS ON SOME NON-COMPACT LIE GROUP

I. Akdenizci Demirtas, A. Kara Hansen

Abstract


In this paper we deal with affne control systems on a non-compact Lie group ax + b group. First, we study topological properties of the state space Af(1) and the automorphism orbit of Af(1). Then, we establish controllability of affne systems on Af(1) by considering controllability of associated bilinear parts on the automorphism orbit of Af(1).

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