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Collision of Control Sets

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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Abstract

Control sets describe the limit behavior of control systems. When they collide, the system behavior undergoes a qualitative change. It is shown that at a collision of an invariant control set C with another control set D there exists a ∂C-control set in the intersection of C and the closure of D.

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References

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, 86135, Augsburg, Germany

    Fritz Colonius

  2. Department of Mathematics, Iowa State University, Ames, Iowa, 50011, USA

    Wolfgang Kliemann

Authors
  1. Fritz Colonius
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  2. Wolfgang Kliemann
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Editor information

Editors and Affiliations

  1. Freie Universität Berlin Institut für Mathematik I, Arnimallee 2-6, 14195, Berlin, Germany

    Bernold Fiedler

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© 2001 Springer-Verlag Berlin Heidelberg

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Colonius, F., Kliemann, W. (2001). Collision of Control Sets. In: Fiedler, B. (eds) Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56589-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-56589-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62524-4

  • Online ISBN: 978-3-642-56589-2

  • eBook Packages: Springer Book Archive

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