Geometric Criterion for Controllability under Arbitrary Constraints on the Control

V. I. Korobov ()
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V. I. Korobov: Szczecin University

Journal of Optimization Theory and Applications, 2007, vol. 134, issue 2, No 1, 176 pages

Abstract: Abstract In this paper, necessary and sufficient conditions for null-controllability of a linear system under geometric constraints on the control are given, without the assumption that the origin is an equilibrium point of the system. The criterion for controllability uses the concept of a return condition on an interval which is introduced in the paper. This condition generalizes the existence of an equilibrium point.

Keywords: Controllability; Return condition on an interval; Invariant cone (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9212-2

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