Stability analysis of discrete-time switched systems with bipartite PDT switching
The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for disc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024294 |
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| author | Qiang Yu Xiujuan Jiang |
| author_facet | Qiang Yu Xiujuan Jiang |
| author_sort | Qiang Yu |
| collection | DOAJ |
| description | The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching. |
| format | Article |
| id | doaj-art-c6534aa6212e480d863ee30a8892ce10 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-c6534aa6212e480d863ee30a8892ce102025-01-23T07:53:01ZengAIMS PressElectronic Research Archive2688-15942024-11-0132116320633710.3934/era.2024294Stability analysis of discrete-time switched systems with bipartite PDT switchingQiang Yu0Xiujuan Jiang1School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, ChinaThe stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching.https://www.aimspress.com/article/doi/10.3934/era.2024294switched systemsbipartite persistent dwell-timebinary quasi-time-varying lyapunov functionstabilizationcontroller |
| spellingShingle | Qiang Yu Xiujuan Jiang Stability analysis of discrete-time switched systems with bipartite PDT switching Electronic Research Archive switched systems bipartite persistent dwell-time binary quasi-time-varying lyapunov function stabilization controller |
| title | Stability analysis of discrete-time switched systems with bipartite PDT switching |
| title_full | Stability analysis of discrete-time switched systems with bipartite PDT switching |
| title_fullStr | Stability analysis of discrete-time switched systems with bipartite PDT switching |
| title_full_unstemmed | Stability analysis of discrete-time switched systems with bipartite PDT switching |
| title_short | Stability analysis of discrete-time switched systems with bipartite PDT switching |
| title_sort | stability analysis of discrete time switched systems with bipartite pdt switching |
| topic | switched systems bipartite persistent dwell-time binary quasi-time-varying lyapunov function stabilization controller |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024294 |
| work_keys_str_mv | AT qiangyu stabilityanalysisofdiscretetimeswitchedsystemswithbipartitepdtswitching AT xiujuanjiang stabilityanalysisofdiscretetimeswitchedsystemswithbipartitepdtswitching |