Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality
This paper focuses on the stability analysis of additive time-varying delay systems. First, a bivariate quadratic reciprocally convex matrix inequality is derived, which serves as a generalization of traditional reciprocally convex inequalities. By applying the Lyapunov–Krasovskii functional method,...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241721 |
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| _version_ | 1832590740400635904 |
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| author | Xiao Ge Xinzuo Ma Yuanyuan Zhang Han Xue Seakweng Vong |
| author_facet | Xiao Ge Xinzuo Ma Yuanyuan Zhang Han Xue Seakweng Vong |
| author_sort | Xiao Ge |
| collection | DOAJ |
| description | This paper focuses on the stability analysis of additive time-varying delay systems. First, a bivariate quadratic reciprocally convex matrix inequality is derived, which serves as a generalization of traditional reciprocally convex inequalities. By applying the Lyapunov–Krasovskii functional method, this matrix inequality is incorporated to form a new stability criterion applicable to systems with additive time-varying delays. Finally, some numerical examples are presented to demonstrate the effectiveness of the theoretical results obtained. |
| format | Article |
| id | doaj-art-4603f99103d2405185119fe520e64120 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-4603f99103d2405185119fe520e641202025-01-23T07:53:26ZengAIMS PressAIMS Mathematics2473-69882024-12-01912362733629210.3934/math.20241721Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequalityXiao Ge0Xinzuo Ma1Yuanyuan Zhang2Han Xue3Seakweng Vong4College of Science, Nanjing Forestry University, Nanjing 210037, ChinaDepartment of Mathematics, University of Macau, Avenida da Universidade, Macau, ChinaDepartment of Mathematics, University of Macau, Avenida da Universidade, Macau, ChinaDepartment of Mathematics, University of Macau, Avenida da Universidade, Macau, ChinaDepartment of Mathematics, University of Macau, Avenida da Universidade, Macau, ChinaThis paper focuses on the stability analysis of additive time-varying delay systems. First, a bivariate quadratic reciprocally convex matrix inequality is derived, which serves as a generalization of traditional reciprocally convex inequalities. By applying the Lyapunov–Krasovskii functional method, this matrix inequality is incorporated to form a new stability criterion applicable to systems with additive time-varying delays. Finally, some numerical examples are presented to demonstrate the effectiveness of the theoretical results obtained.https://www.aimspress.com/article/doi/10.3934/math.20241721stabilityreciprocally convex inequalitylyapunov–krasovskii functional methodadditive time-varying delay |
| spellingShingle | Xiao Ge Xinzuo Ma Yuanyuan Zhang Han Xue Seakweng Vong Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality AIMS Mathematics stability reciprocally convex inequality lyapunov–krasovskii functional method additive time-varying delay |
| title | Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality |
| title_full | Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality |
| title_fullStr | Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality |
| title_full_unstemmed | Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality |
| title_short | Stability analysis of systems with additive time-varying delays via new bivariate quadratic reciprocally convex inequality |
| title_sort | stability analysis of systems with additive time varying delays via new bivariate quadratic reciprocally convex inequality |
| topic | stability reciprocally convex inequality lyapunov–krasovskii functional method additive time-varying delay |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241721 |
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