Stability and D-stability for Switched Positive Systems

Mason, O; Bokharaie, VS; Shrten, R

doi:10.1007/978-3-642-02894-6_10

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Stability and D-stability for Switched Positive Systems

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Mason, O., Bokharaie, V., & Shrten, R. (2009). Stability and D-stability for Switched Positive Systems. In R. Bru, & S. Romero-Vivó (Eds.), Positive Systems: Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2009) Valencia, Spain, September 2-4, 2009 (pp. 101-109). Berlin, Germany: Springer.

Cite as: https://hdl.handle.net/21.11116/0000-0002-E9A3-F

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.