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For affine control systems with bounded control range the control sets, i.e., the maximal subsets of complete approximate controllability, are studied using spectral properties. For hyperbolic systems there is a unique control set with nonvoid interi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebfa295d36146e0edafa4449344d05ae
For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b125a2598f7c73c6db7cc809657dab