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

Edition: Volume 6 Issue 10, October 2017,

Pages: 1662 - 1665

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Roles of Reachable Sets in Linear Control Systems

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