Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems
In this paper, we study exponential stability and tracking control problems for uncertain time-delayed systems. First, sufficient conditions of exponential stability for a class of uncertain time-delayed systems are established by employing Lyapunov functional methods and algebraic matrix inequality...
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| Format: | Journal Article |
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Springer
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/16604 |
| _version_ | 1848749224638808064 |
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| author | Chen, Yuanqiang Xu, Honglei |
| author_facet | Chen, Yuanqiang Xu, Honglei |
| author_sort | Chen, Yuanqiang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study exponential stability and tracking control problems for uncertain time-delayed systems. First, sufficient conditions of exponential stability for a class of uncertain time-delayed systems are established by employing Lyapunov functional methods and algebraic matrix inequality techniques. Furthermore, tracking control problems are investigated in which an uncertain linear time-delayed system is used to track the reference system. Sufficient conditions for solvability of tracking control problems are obtained for the cases that the system state is measurable and non-measurable, respectively. When the state is measurable, we design an impulsive control law to achieve the tracking performance. When the state information is not directly available from measurement, an impulsive control law based on the measured output will be used. Finally, numerical examples are presented to illustrate the effectiveness and usefulness of our results. |
| first_indexed | 2025-11-14T07:17:32Z |
| format | Journal Article |
| id | curtin-20.500.11937-16604 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:17:32Z |
| publishDate | 2012 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-166042019-02-19T05:34:59Z Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems Chen, Yuanqiang Xu, Honglei Lyapunov functional Time delays Exponential stability State tracking Impulsive control In this paper, we study exponential stability and tracking control problems for uncertain time-delayed systems. First, sufficient conditions of exponential stability for a class of uncertain time-delayed systems are established by employing Lyapunov functional methods and algebraic matrix inequality techniques. Furthermore, tracking control problems are investigated in which an uncertain linear time-delayed system is used to track the reference system. Sufficient conditions for solvability of tracking control problems are obtained for the cases that the system state is measurable and non-measurable, respectively. When the state is measurable, we design an impulsive control law to achieve the tracking performance. When the state information is not directly available from measurement, an impulsive control law based on the measured output will be used. Finally, numerical examples are presented to illustrate the effectiveness and usefulness of our results. 2012 Journal Article http://hdl.handle.net/20.500.11937/16604 10.1007/s10898-011-9669-2 Springer fulltext |
| spellingShingle | Lyapunov functional Time delays Exponential stability State tracking Impulsive control Chen, Yuanqiang Xu, Honglei Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title | Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title_full | Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title_fullStr | Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title_full_unstemmed | Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title_short | Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| title_sort | exponential stability analysis and impulsive tracking control of uncertain time-delayed systems |
| topic | Lyapunov functional Time delays Exponential stability State tracking Impulsive control |
| url | http://hdl.handle.net/20.500.11937/16604 |