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- Title
Stability analysis of discrete‐time systems with a time‐varying delay via improved methods.
- Authors
Sha, Hongjia; Park, Ju H.; Chen, Jun; Zhu, Mingbo; Nan, Chengjie
- 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.
- Subjects
DISCRETE-time systems; TIME-varying systems; DISCRETE systems
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2024, Vol 18, Issue 7, p951
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/cth2.12632