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Positive Systems pp 71–81Cite as

Stability Radii of Interconnected Positive Systems with Uncertain Couplings

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

Abstract

We analyze interconnections of finitely many (exponentially) stable positive systems which interact via uncertain couplings of arbitrarily prescribed structure. We view the couplings as structured perturbations of the direct sum of the subsystems and derive computable formulas for the corresponding stability radius with respect to some costumary perturbation norms.

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Author information

Authors and Affiliations

  1. Zentrum für Technomathematik, Universität Bremen, Postfach 330 440, 28334, Bremen, Germany

    Diederich Hinrichsen

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  1. Diederich Hinrichsen
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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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Hinrichsen, D. (2009). Stability Radii of Interconnected Positive Systems with Uncertain Couplings. 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_7

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  • DOI: https://doi.org/10.1007/978-3-642-02894-6_7

  • 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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