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Stability analysis of discrete‐time systems with a time‐varying delay via improved methods.
- Source :
-
IET Control Theory & Applications (Wiley-Blackwell) . Apr2024, Vol. 18 Issue 7, p951-959. 9p. - Publication Year :
- 2024
-
Abstract
- This paper is concerned with the stability analysis of discrete‐time systems with a time‐varying delay. The conservatism and computation burden are two important factors to evaluate a stability condition. By taking the relationship of two reciprocally convex parts into consideration, a new combined matrix‐separation‐based inequality is proposed that involves only a few free matrices. Moreover, an improved matrix‐injection‐based transformation lemma with the parameter varying within a closed interval is proposed by introducing only one free matrix. By constructing an appropriate Lyapunov–Krasovskii functional and applying the improved methods, a relaxed stability condition is consequently obtained with a small number of decision variables. Two numerical examples are given to show the merits of the proposed methods. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DISCRETE-time systems
*TIME-varying systems
*DISCRETE systems
Subjects
Details
- Language :
- English
- ISSN :
- 17518644
- Volume :
- 18
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IET Control Theory & Applications (Wiley-Blackwell)
- Publication Type :
- Academic Journal
- Accession number :
- 176607885
- Full Text :
- https://doi.org/10.1049/cth2.12632