Further Improvement for Admissibility Analysis of Singular Time-Delay Systems

This article concerns the admissibility analysis of singular time-delay systems. The aim is to get superior criteria in both low conservativeness and less decision variables. To this end, the systems are decomposed and treated with different methods. The Lyapunov-Krasovskii functionals (LKFs) are co...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2022-08, Vol.52 (8), p.4807-4812
Main Authors: Zhi, Ya-Li, He, Shuping, Zhang, Zhi-Ming
Format: Article
Language:English
Subjects:
Admissibility
Circuit stability
Criteria
Decomposition
Electrical engineering
Equivalent circuits
Linear matrix inequalities
Lyapunov–Krasovskii functionals (LKFs)
Matrix decomposition
Matrix methods
Numerical stability
singular time-delay systems
Stability criteria
state decomposition method
Symmetric matrices
Time delay systems
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Summary:This article concerns the admissibility analysis of singular time-delay systems. The aim is to get superior criteria in both low conservativeness and less decision variables. To this end, the systems are decomposed and treated with different methods. The Lyapunov-Krasovskii functionals (LKFs) are constructed based on the state decomposition. By using tighter integral inequalities and the free weighting matrix method, some new admissibility criteria are derived to compare with the previous results, and are applied to the partial element equivalent circuits (PEECs) in numerical examples, by which the advantages of the proposed method are verified.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2021.3103537