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Zhang, Youmei; Zhang, Qingling; Tanaka, Tamaki; Cai, Min

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

Int. J. Syst. Sci. 44, No. 11, 2158-2165 (2013).
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.

Cited in 6 Documents

MSC:

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

Keywords:

positive systems; descriptor systems; impulse-free; admissibility; c-monomial decomposition
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References:

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