S. E. Aniaku, E. C. Mbah
Abstract: The control function plays a great role in the study reachable sets. In this paper, it was shown that reachable set in a linear control system is closed, convex, bounded, symmetric and compact. This is true provided the associated control function has these properties.
Keywords: Reachable sets, Banach Space, Attainable Set, Weakly Compact, integrable function