International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

Roles of Reachable Sets in Linear Control Systems

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