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An enhanced stability criterion for time-delay systems via a new bounding technique

Hien, Le Van and Trinh, Hieu 2015, An enhanced stability criterion for time-delay systems via a new bounding technique, Journal of the franklin institute, vol. 352, no. 10, pp. 4407-4422, doi: 10.1016/j.jfranklin.2015.06.023.

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Title An enhanced stability criterion for time-delay systems via a new bounding technique
Author(s) Hien, Le Van
Trinh, HieuORCID iD for Trinh, Hieu
Journal name Journal of the franklin institute
Volume number 352
Issue number 10
Start page 4407
End page 4422
Total pages 16
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2015
ISSN 0016-0032
Summary In the past few years, a great deal of effort has been devoted to improve delay-dependent conditions for stability of linear systems with an interval time-varying delay. To reduce conservatism of stability conditions, in the framework of the Lyapunov-Krasovskii functional (LKF) method, the bounding technique plays a key role. In this paper, a new bounding technique based on a new integral inequality is proposed. By employing the newly bounding technique proposed in this paper, an enhanced stability criterion for a class of linear systems with an interval time-varying delay is derived. The effectiveness and a significant improvement of the obtained results are shown by numerical examples.
Language eng
DOI 10.1016/j.jfranklin.2015.06.023
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
Copyright notice ©2015, Elsevier
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Document type: Journal Article
Collection: School of Engineering
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Created: Mon, 19 Oct 2015, 11:28:30 EST

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