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An angular open mapping theorem

  • Deterministic Optimal Control
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 111))

Abstract

We give an angular open mapping theorem applicable to local approximating cones of the attainable set of an affine control system. The proof is constructive and indicates how to implement a discrete time stabilizing feedback.

This work was partially supported through NSF grant DMS-8603156

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References

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A. Bensoussan J. L. Lions

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© 1988 Springer-Verlag

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Kawski, M. (1988). An angular open mapping theorem. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042228

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  • DOI: https://doi.org/10.1007/BFb0042228

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19237-4

  • Online ISBN: 978-3-540-39161-6

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