Admissibility for positive continuous-time descriptor systems

Youmei Zhang, Qingling Zhang, Tamaki Tanaka and Min Cai

International Journal of Systems Science, 2013, vol. 44, issue 11, 2158-2165

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.

Date: 2013
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DOI: 10.1080/00207721.2012.685200

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