Controllability and stability of discrete-time antilinear systems
In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the cl...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
IEEE
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/15830 |
| _version_ | 1848748999986642944 |
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| author | Wu, A. Duan, G. Liu, Wan-Quan Sreeram, V. |
| author2 | Not known |
| author_facet | Not known Wu, A. Duan, G. Liu, Wan-Quan Sreeram, V. |
| author_sort | Wu, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems. |
| first_indexed | 2025-11-14T07:13:58Z |
| format | Conference Paper |
| id | curtin-20.500.11937-15830 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:13:58Z |
| publishDate | 2013 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-158302017-09-13T14:07:15Z Controllability and stability of discrete-time antilinear systems Wu, A. Duan, G. Liu, Wan-Quan Sreeram, V. Not known In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems. 2013 Conference Paper http://hdl.handle.net/20.500.11937/15830 10.1109/AUCC.2013.6697307 IEEE restricted |
| spellingShingle | Wu, A. Duan, G. Liu, Wan-Quan Sreeram, V. Controllability and stability of discrete-time antilinear systems |
| title | Controllability and stability of discrete-time antilinear systems |
| title_full | Controllability and stability of discrete-time antilinear systems |
| title_fullStr | Controllability and stability of discrete-time antilinear systems |
| title_full_unstemmed | Controllability and stability of discrete-time antilinear systems |
| title_short | Controllability and stability of discrete-time antilinear systems |
| title_sort | controllability and stability of discrete-time antilinear systems |
| url | http://hdl.handle.net/20.500.11937/15830 |