State bounding estimation for a linear continuous-time singular system with time-varying delay
Abstract This paper investigates the problem of a state bounding estimation for a linear continuous-time singular system with time-varying delay. By employing the maximal Lyapunov–Krasovskii functional and applying the new free-matrix-based integral inequality, some proper conditions are derived in...
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| Format: | Article |
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SpringerOpen
2019-03-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2065-9 |
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doaj-8b7ea7384d674b60bddae1d40b10a6162020-11-25T01:39:22ZengSpringerOpenAdvances in Difference Equations1687-18472019-03-012019111710.1186/s13662-019-2065-9State bounding estimation for a linear continuous-time singular system with time-varying delayJianying Xiao0Fang Xu1School of Sciences, Southwest Petroleum UniversitySchool of Sciences, Southwest Petroleum UniversityAbstract This paper investigates the problem of a state bounding estimation for a linear continuous-time singular system with time-varying delay. By employing the maximal Lyapunov–Krasovskii functional and applying the new free-matrix-based integral inequality, some proper conditions are derived in terms of LMIs and a bounding estimation lemma and set are obtained for the studied singular system.http://link.springer.com/article/10.1186/s13662-019-2065-9State bounding estimationTime delaysSingular system |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jianying Xiao Fang Xu |
| spellingShingle |
Jianying Xiao Fang Xu State bounding estimation for a linear continuous-time singular system with time-varying delay Advances in Difference Equations State bounding estimation Time delays Singular system |
| author_facet |
Jianying Xiao Fang Xu |
| author_sort |
Jianying Xiao |
| title |
State bounding estimation for a linear continuous-time singular system with time-varying delay |
| title_short |
State bounding estimation for a linear continuous-time singular system with time-varying delay |
| title_full |
State bounding estimation for a linear continuous-time singular system with time-varying delay |
| title_fullStr |
State bounding estimation for a linear continuous-time singular system with time-varying delay |
| title_full_unstemmed |
State bounding estimation for a linear continuous-time singular system with time-varying delay |
| title_sort |
state bounding estimation for a linear continuous-time singular system with time-varying delay |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2019-03-01 |
| description |
Abstract This paper investigates the problem of a state bounding estimation for a linear continuous-time singular system with time-varying delay. By employing the maximal Lyapunov–Krasovskii functional and applying the new free-matrix-based integral inequality, some proper conditions are derived in terms of LMIs and a bounding estimation lemma and set are obtained for the studied singular system. |
| topic |
State bounding estimation Time delays Singular system |
| url |
http://link.springer.com/article/10.1186/s13662-019-2065-9 |
| work_keys_str_mv |
AT jianyingxiao stateboundingestimationforalinearcontinuoustimesingularsystemwithtimevaryingdelay AT fangxu stateboundingestimationforalinearcontinuoustimesingularsystemwithtimevaryingdelay |
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1725049341783048192 |