Vol. 77, No. 1, 1978

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Classification of closed sets of attainability in the plane

Jan Maksymilian Gronski

Vol. 77 (1978), No. 1, 117–129
Abstract

It is proved that under certain mild restrictions every closed set of attainability of a planar control system with piecewise constant controls is either the entire plane or homeomorphic to one of the following: a closed half plane, a closed disk or the complement of an open disk.

Mathematical Subject Classification 2000
Primary: 49E15, 49E15
Secondary: 57R27, 93B05
Milestones
Received: 16 May 1977
Published: 1 July 1978
Authors
Jan Maksymilian Gronski