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 in | Journal of the Franklin Institute Vol. 357; no. 14; pp. 9930 - 9941 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.09.2020
Elsevier Science Ltd |
| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Lin, Hui-Chao Teo, Kok-Lay Wang, Wei He, Yong Zeng, Hong-Bing |
| Author_xml | – sequence: 1 givenname: Hong-Bing surname: Zeng fullname: Zeng, Hong-Bing email: 9804zhb@163.com organization: College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China – sequence: 2 givenname: Hui-Chao surname: Lin fullname: Lin, Hui-Chao organization: College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China – sequence: 3 givenname: Yong surname: He fullname: He, Yong email: heyong08@cug.edu.cn organization: School of Automation, China University of Geosciences, Wuhan 430074, China – sequence: 4 givenname: Kok-Lay surname: Teo fullname: Teo, Kok-Lay email: K.L.Teo@curtin.edu.au organization: School of Mathematical Science, Sunway University, Selangor Darul Ehsan 47500, Malaysia – sequence: 5 givenname: Wei surname: Wang fullname: Wang, Wei organization: College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China |
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| Title | Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality |
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