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Perturbations of open sets of attainability

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Abstract

We show that the set of pointsG on then-dimensional manifold, for which the set of attainability is open, is open itself and that ifx andy are points in the same connected component ofG then their sets of attainability,A(x) andA(y) are equal.

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References

  1. A. Krener, A generalization of Chow's theorem and the Bang-bang theorem to nonlinear control problems,SIAM J. Control,12 (1974), 43–52.

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  2. C. Lobry, Quelques aspects qualitatives de la théorie de la commande, Thése, L'Université de Grenoble, 1972.

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Authors and Affiliations

  1. Department of Mathematics, The Cleveland State University, 44115, Cleveland, Ohio, USA

    Jan M. Gronski (Assistant Professor)

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  1. Jan M. Gronski
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Contributed by A. Beck.

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Gronski, J.M. Perturbations of open sets of attainability. Math. Systems Theory 10, 285–287 (1976). https://doi.org/10.1007/BF01683279

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  • DOI: https://doi.org/10.1007/BF01683279

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