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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| Veröffentlicht in: | Journal of the Franklin Institute 2020-09, Vol.357 (14), p.9930-9941 |
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| container_end_page | 9941 |
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| container_issue | 14 |
| container_start_page | 9930 |
| container_title | Journal of the Franklin Institute |
| container_volume | 357 |
| creator | Zeng, Hong-Bing Lin, Hui-Chao He, Yong Teo, Kok-Lay Wang, Wei |
| description | 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. |
| doi_str_mv | 10.1016/j.jfranklin.2020.07.034 |
| format | Article |
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| language | eng |
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| subjects | Inequality Linear systems Mathematical functions Mathematics Quadratic equations Stability Time |
| title | Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality |
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