Finite-Time Stability Analysis: A Tutorial Survey
In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field. After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system...
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| Format: | Journal Article |
| Language: | English |
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WILEY-HINDAWI
2020
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| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90935 |
| _version_ | 1848765465210388480 |
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| author | Xu, Honglei |
| author_facet | Xu, Honglei |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field. After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system models, particularly in the form of linear time-varying systems and impulsive linear systems, are studied. The finite-time stability analysis in a quantitative sense is reviewed, and a variety of stability results including state transition matrix conditions, the piecewise continuous Lyapunov-like function theory, and the converse Lyapunov-like theorem are investigated. Then, robustness and time delay issues are studied. Finally, fundamental finite-time stability results in a qualitative sense are briefly reviewed. |
| first_indexed | 2025-11-14T11:35:41Z |
| format | Journal Article |
| id | curtin-20.500.11937-90935 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:35:41Z |
| publishDate | 2020 |
| publisher | WILEY-HINDAWI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-909352023-05-05T07:53:46Z Finite-Time Stability Analysis: A Tutorial Survey Xu, Honglei Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Mathematics Science & Technology - Other Topics CONVERSE THEOREMS VARYING SYSTEMS LINEAR-SYSTEMS STABILIZATION In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field. After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system models, particularly in the form of linear time-varying systems and impulsive linear systems, are studied. The finite-time stability analysis in a quantitative sense is reviewed, and a variety of stability results including state transition matrix conditions, the piecewise continuous Lyapunov-like function theory, and the converse Lyapunov-like theorem are investigated. Then, robustness and time delay issues are studied. Finally, fundamental finite-time stability results in a qualitative sense are briefly reviewed. 2020 Journal Article http://hdl.handle.net/20.500.11937/90935 10.1155/2020/1941636 English http://purl.org/au-research/grants/arc/DP160102819 http://creativecommons.org/licenses/by/4.0/ WILEY-HINDAWI fulltext |
| spellingShingle | Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Mathematics Science & Technology - Other Topics CONVERSE THEOREMS VARYING SYSTEMS LINEAR-SYSTEMS STABILIZATION Xu, Honglei Finite-Time Stability Analysis: A Tutorial Survey |
| title | Finite-Time Stability Analysis: A Tutorial Survey |
| title_full | Finite-Time Stability Analysis: A Tutorial Survey |
| title_fullStr | Finite-Time Stability Analysis: A Tutorial Survey |
| title_full_unstemmed | Finite-Time Stability Analysis: A Tutorial Survey |
| title_short | Finite-Time Stability Analysis: A Tutorial Survey |
| title_sort | finite-time stability analysis: a tutorial survey |
| topic | Science & Technology Physical Sciences Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Mathematics Science & Technology - Other Topics CONVERSE THEOREMS VARYING SYSTEMS LINEAR-SYSTEMS STABILIZATION |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90935 |