Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems
This article investigates the exponential stability and L1-gain performance of time-varying positive switched impulsive systems even when all modes are unstable. By employing the discretized switched copositive Lyapunov function approach and the analytical method developed for positive systems, we...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-01-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38319 |
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| _version_ | 1849737209276530688 |
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| author | Xiukun Zhang Yuangong Sun Xingao Zhu |
| author_facet | Xiukun Zhang Yuangong Sun Xingao Zhu |
| author_sort | Xiukun Zhang |
| collection | DOAJ |
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This article investigates the exponential stability and L1-gain performance of time-varying positive switched impulsive systems even when all modes are unstable. By employing the discretized switched copositive Lyapunov function approach and the analytical method developed for positive systems, we derive a sufficient condition to ensure the exponential stability for such systems. An algorithm for computing the stability region of admissible dwell time is also introduced. Furthermore, building on this stability result, the L1-gain performance of positive switched impulsive systems is further studied. Finally, numerical examples are presented to demonstrate the validity of our results.
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| format | Article |
| id | doaj-art-85bc2d5ef3444e1d83b460184ebfa070 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-85bc2d5ef3444e1d83b460184ebfa0702025-08-20T03:07:00ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-01-013010.15388/namc.2025.30.38319Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystemsXiukun Zhang0Yuangong Sun1Xingao Zhu2https://orcid.org/0000-0002-5452-2993University of JinanUniversity of JinanUniversity of Jinan This article investigates the exponential stability and L1-gain performance of time-varying positive switched impulsive systems even when all modes are unstable. By employing the discretized switched copositive Lyapunov function approach and the analytical method developed for positive systems, we derive a sufficient condition to ensure the exponential stability for such systems. An algorithm for computing the stability region of admissible dwell time is also introduced. Furthermore, building on this stability result, the L1-gain performance of positive switched impulsive systems is further studied. Finally, numerical examples are presented to demonstrate the validity of our results. https://www.journals.vu.lt/nonlinear-analysis/article/view/38319positive systemswitched systemexponential stabilityL1-gainmode-dependent interval dwell time |
| spellingShingle | Xiukun Zhang Yuangong Sun Xingao Zhu Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems Nonlinear Analysis positive system switched system exponential stability L1-gain mode-dependent interval dwell time |
| title | Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems |
| title_full | Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems |
| title_fullStr | Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems |
| title_full_unstemmed | Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems |
| title_short | Analysis of exponential stability and L1-gain performance of positive switched impulsive systems with all unstable subsystems |
| title_sort | analysis of exponential stability and l1 gain performance of positive switched impulsive systems with all unstable subsystems |
| topic | positive system switched system exponential stability L1-gain mode-dependent interval dwell time |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38319 |
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