An extended reciprocally convex matrix inequality and its application to stability analysis of systems with additive time-varying delays
This paper is concerned with the stability analysis of systems with additive time-varying delays. First, an extended reciprocally convex matrix inequality is presented, which is a generalization of the existing reciprocally convex matrix inequalities. Second, combining the proposed matrix inequality...
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| Veröffentlicht in: | Journal of the Franklin Institute 2020-03, Vol.357 (4), p.2282-2294 |
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| container_title | Journal of the Franklin Institute |
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| creator | Jiao, Jianmin Zhang, Rui |
| description | This paper is concerned with the stability analysis of systems with additive time-varying delays. First, an extended reciprocally convex matrix inequality is presented, which is a generalization of the existing reciprocally convex matrix inequalities. Second, combining the proposed matrix inequality with the Wirtinger-based integral inequality, a new stability criterion of systems with additive time-varying delays is proposed. Meanwhile, an improved stability criterion of systems with a single time-varying in a range is also obtained. Finally, two numerical examples are employed to illustrate the advantage of the obtained theoretical results. |
| doi_str_mv | 10.1016/j.jfranklin.2019.11.065 |
| format | Article |
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| subjects | Convex analysis Matrix Stability analysis Stability criteria Studies Systems analysis Systems stability |
| title | An extended reciprocally convex matrix inequality and its application to stability analysis of systems with additive time-varying delays |
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