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Invariance entropy for outputs

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Abstract

For continuous time control systems, this paper analyzes output invariance entropy as a measure for the information necessary to achieve invariance of compact subsets of the output space. For linear control systems with compact control range, relations to controllability and observability properties are studied. Furthermore, the notion of asymptotic output invariance entropy is introduced and characterized for these systems.

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Authors and Affiliations

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

    Fritz Colonius & Christoph Kawan

Authors
  1. Fritz Colonius
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  2. Christoph Kawan
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Corresponding author

Correspondence to Christoph Kawan.

Additional information

Supported by DFG Grant Co 124/17-1 within DFG Priority Program 1305.

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Colonius, F., Kawan, C. Invariance entropy for outputs. Math. Control Signals Syst. 22, 203–227 (2011). https://doi.org/10.1007/s00498-011-0056-9

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  • DOI: https://doi.org/10.1007/s00498-011-0056-9

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