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Invariance Pressure for Control Systems

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Abstract

Notions of invariance pressure for control systems are introduced based on weights for the control values. The equivalence is shown between inner invariance pressure based on spanning sets of controls and on invariant open covers, respectively. Furthermore, a number of properties of invariance pressure are derived and it is computed for a class of linear systems.

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Authors and Affiliations

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

    Fritz Colonius

  2. Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Brazil

    Alexandre J. Santana & João A. N. Cossich

Authors
  1. Fritz Colonius
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  2. Alexandre J. Santana
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  3. João A. N. Cossich
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Correspondence to Fritz Colonius.

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Colonius, F., Santana, A.J. & Cossich, J.A.N. Invariance Pressure for Control Systems. J Dyn Diff Equat 31, 1–23 (2019). https://doi.org/10.1007/s10884-018-9646-2

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  • DOI: https://doi.org/10.1007/s10884-018-9646-2

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