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Admissibility for positive continuous-time descriptor systems

Author

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  • Youmei Zhang
  • Qingling Zhang
  • Tamaki Tanaka
  • Min Cai

Abstract

Positive descriptor systems are a new research branch in descriptor systems. This article is devoted to the study of the admissibility property for positive continuous-time descriptor systems. Based on Lyapunov inequality existed for stability of positive descriptor systems, we provide a necessary and sufficient condition to guarantee the admissibility via linear matrix inequalities (LMIs). Furthermore, a necessary and sufficient condition to guarantee the admissibility is established by means of generalised Lyapunov equation if c-monomial decomposition is applied to positive descriptor systems. Finally, examples are given to illustrate the validity of the results obtained.

Suggested Citation

  • Youmei Zhang & Qingling Zhang & Tamaki Tanaka & Min Cai, 2013. "Admissibility for positive continuous-time descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2158-2165.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2158-2165
    DOI: 10.1080/00207721.2012.685200
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    Cited by:

    1. I. Ivanov & Lars Imsland & B. Bogdanova, 2017. "Iterative algorithms for computing the feedback Nash equilibrium point for positive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 729-737, March.

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