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Stability and D-stability for Switched Positive Systems

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

Abstract

We consider a number of questions pertaining to the stability of positive switched linear systems. Recent results on common quadratic, diagonal, and copositive Lyapunov function existence are reviewed and their connection to the stability properties of switched positive linear systems is highlighted. We also generalise the concept of D-stability to positive switched linear systems and present some preliminary results on this topic.

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© 2009 Springer-Verlag Berlin Heidelberg

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Mason, O., Bokharaie, V.S., Shorten, R. (2009). Stability and D-stability for Switched 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_10

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  • DOI: https://doi.org/10.1007/978-3-642-02894-6_10

  • 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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