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Admissibility for positive continuous-time descriptor systems. (English) Zbl 1307.93177
Summary: 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.

93C05 Linear systems in control theory
15B48 Positive matrices and their generalizations; cones of matrices
Full Text: DOI
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