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Invariance Pressure for Control Systems

  • Fritz ColoniusEmail author
  • Alexandre J. Santana
  • João A. N. Cossich
Article

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.

Keywords

Invariance pressure Invariance entropy Control systems Invariant covers Feedbacks 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany
  2. 2.Departamento de MatemáticaUniversidade Estadual de MaringáMaringáBrazil

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