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- Title
Refined Jensen‐based inequality approach to stability analysis of time‐delay systems.
- Authors
Van Hien, Le; Trinh, Hieu
- Abstract
In this study, the authors derive some new refined Jensen‐based inequalities, which encompass both the Jensen inequality and its most recent improvement based on the Wirtinger integral inequality. The potential capability of this approach is demonstrated through applications to stability analysis of time‐delay systems. More precisely, by using the newly derived inequalities, they establish new stability criteria for two classes of time‐delay systems, namely discrete and distributed constant delays systems and interval time‐varying delay systems. The resulting stability conditions are derived in terms of linear matrix inequalities, which can be efficiently solved by various convex optimisation algorithms. Numerical examples are given to show the effectiveness and least conservativeness of the results obtained in this study.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2015, Vol 9, Issue 14, p2188
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2014.0962