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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1941636 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546864980819968 |
|---|---|
| author | Honglei Xu |
| author_facet | Honglei Xu |
| author_sort | Honglei Xu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3bd26602fbc643e4b6225b4510e2540a |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3bd26602fbc643e4b6225b4510e2540a2025-02-03T06:46:42ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/19416361941636Finite-Time Stability Analysis: A Tutorial SurveyHonglei Xu0School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, WA 6845, AustraliaIn 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.http://dx.doi.org/10.1155/2020/1941636 |
| spellingShingle | Honglei Xu Finite-Time Stability Analysis: A Tutorial Survey Complexity |
| 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 |
| url | http://dx.doi.org/10.1155/2020/1941636 |
| work_keys_str_mv | AT hongleixu finitetimestabilityanalysisatutorialsurvey |