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Geometric Criterion for Controllability under Arbitrary Constraints on the Control

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Szczecin University, Szczecin, Poland

    V. I. Korobov

  2. Department of Differential Equations and Control, Kharkov National University, Kharkov, Ukraine

    V. I. Korobov

Authors
  1. V. I. Korobov
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Correspondence to V. I. Korobov.

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Communicated by F.L. Chernousko

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Korobov, V.I. Geometric Criterion for Controllability under Arbitrary Constraints on the Control. J Optim Theory Appl 134, 161–176 (2007). https://doi.org/10.1007/s10957-007-9212-2

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  • DOI: https://doi.org/10.1007/s10957-007-9212-2

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