Practical stability and controllability for nonlinear discrete time-delay systems
In this paper we study the practical asymptotic stability for a class of discrete-time time-delay systems via Razumikhin-type Theorems. Further estimations of the solution boundary and arrival time of the solution are also investigated based on practical stability. In addition, the proposed theorems...
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| Format: | Conference Paper |
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IEEE - Institute of Electrical and Electronic Engineers
2009
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| Online Access: | http://www.ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5410164 http://hdl.handle.net/20.500.11937/14024 |
| _version_ | 1848748508914384896 |
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| author | Su, Z. Zhang, Q. Liu, Wan-quan |
| author2 | Lihua Xie |
| author_facet | Lihua Xie Su, Z. Zhang, Q. Liu, Wan-quan |
| author_sort | Su, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper we study the practical asymptotic stability for a class of discrete-time time-delay systems via Razumikhin-type Theorems. Further estimations of the solution boundary and arrival time of the solution are also investigated based on practical stability. In addition, the proposed theorems are used to analyze the practical controllability of a general class of nonlinear discrete systems with input time delay. Some easy testing criteria for the uniform practical asymptotical stability are derived via Lyapunov function and Razumikhin technique. Finally a numerical example is given to illustrate the effectiveness of the proposed results. |
| first_indexed | 2025-11-14T07:06:10Z |
| format | Conference Paper |
| id | curtin-20.500.11937-14024 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:06:10Z |
| publishDate | 2009 |
| publisher | IEEE - Institute of Electrical and Electronic Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-140242022-12-09T05:23:41Z Practical stability and controllability for nonlinear discrete time-delay systems Su, Z. Zhang, Q. Liu, Wan-quan Lihua Xie Xiaoqi Chen Jizhen Liu In this paper we study the practical asymptotic stability for a class of discrete-time time-delay systems via Razumikhin-type Theorems. Further estimations of the solution boundary and arrival time of the solution are also investigated based on practical stability. In addition, the proposed theorems are used to analyze the practical controllability of a general class of nonlinear discrete systems with input time delay. Some easy testing criteria for the uniform practical asymptotical stability are derived via Lyapunov function and Razumikhin technique. Finally a numerical example is given to illustrate the effectiveness of the proposed results. 2009 Conference Paper http://hdl.handle.net/20.500.11937/14024 http://www.ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5410164 IEEE - Institute of Electrical and Electronic Engineers fulltext |
| spellingShingle | Su, Z. Zhang, Q. Liu, Wan-quan Practical stability and controllability for nonlinear discrete time-delay systems |
| title | Practical stability and controllability for nonlinear discrete time-delay systems |
| title_full | Practical stability and controllability for nonlinear discrete time-delay systems |
| title_fullStr | Practical stability and controllability for nonlinear discrete time-delay systems |
| title_full_unstemmed | Practical stability and controllability for nonlinear discrete time-delay systems |
| title_short | Practical stability and controllability for nonlinear discrete time-delay systems |
| title_sort | practical stability and controllability for nonlinear discrete time-delay systems |
| url | http://www.ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5410164 http://hdl.handle.net/20.500.11937/14024 |