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Applications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems

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Positive Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 389))

Abstract

In this paper we review necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for switched linear positive systems. Both the state dependent and arbitrary switching cases are considered and a number of applications are presented.

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Author information

Authors and Affiliations

  1. Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland

    Florian Knorn, Oliver Mason & Robert Shorten

Authors
  1. Florian Knorn
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  2. Oliver Mason
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  3. Robert Shorten
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Editor information

Editors and Affiliations

  1. Instituto Universitario de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camí de Vera s/n, 46022, Valencia, Spain

    Rafael Bru  & Sergio Romero-Vivó  & 

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Knorn, F., Mason, O., Shorten, R. (2009). Applications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_32

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  • DOI: https://doi.org/10.1007/978-3-642-02894-6_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02893-9

  • Online ISBN: 978-3-642-02894-6

  • eBook Packages: EngineeringEngineering (R0)

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