Refined Jensen-based inequality approach to stability analysis of time-delay systems

Van Hien, Le and Trinh, Hieu 2015, Refined Jensen-based inequality approach to stability analysis of time-delay systems, IET control theory and applications, vol. 9, no. 14, pp. 2188-2194, doi: 10.1049/iet-cta.2014.0962.

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Title Refined Jensen-based inequality approach to stability analysis of time-delay systems
Author(s) Van Hien, Le
Trinh, HieuORCID iD for Trinh, Hieu
Journal name IET control theory and applications
Volume number 9
Issue number 14
Start page 2188
End page 2194
Total pages 7
Publisher Institution of Engineering and Technology
Place of publication Stevenage, Eng.
Publication date 2015
ISSN 1751-8644
Keyword(s) Science & Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Instruments & Instrumentation
Summary © 2015 The Institution of Engineering and Technology. 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.
Language eng
DOI 10.1049/iet-cta.2014.0962
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Grant ID DP130101532
Copyright notice ©2015, IET
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