Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality

This paper studies the stability problems of linear systems with time-varying delays. Firstly, an extended reciprocally convex quadratic inequality and an improved quadratic function negative-determination condition are proposed. Based on the method proposed, some less conservative criteria are deri...

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Published inJournal of the Franklin Institute Vol. 357; no. 14; pp. 9930 - 9941
Main Authors Zeng, Hong-Bing, Lin, Hui-Chao, He, Yong, Teo, Kok-Lay, Wang, Wei
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.09.2020
Elsevier Science Ltd
Subjects
Inequality
Linear systems
Mathematical functions
Mathematics
Quadratic equations
Stability
Time
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Summary:This paper studies the stability problems of linear systems with time-varying delays. Firstly, an extended reciprocally convex quadratic inequality and an improved quadratic function negative-determination condition are proposed. Based on the method proposed, some less conservative criteria are derived. Finally, a well-known numerical example is carried out to demonstrate the effectiveness and the merits of the proposed method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2020.07.034