Practical stability and controllability for nonlinear discrete time-delay systems
|dc.contributor.editor||Lihua Xie, Xiaoqi Chen and Jizhen Liu|
|dc.identifier.citation||Su, Z. and Zhang, Q. and Liu, Wan-quan. 2009. Practical stability and controllability for nonlinear discrete time-delay systems, in Xie, L. and Chen, X and Liu, J. (ed), ICCA '09, Dec 9 2009, pp. 41-46.Christchurch, New Zealand: IEEE.|
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.
|dc.publisher||IEEE - Institute of Electrical and Electronic Engineers|
|dc.title||Practical stability and controllability for nonlinear discrete time-delay systems|
|dcterms.source.title||7th IEEE international conference on control and automation|
|dcterms.source.series||7th IEEE international conference on control and automation|
|dcterms.source.conference-start-date||Dec 9 2009|
|dcterms.source.conferencelocation||Christchurch, New Zealand|
|dcterms.source.place||Piscataway, New Jersey|
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|curtin.faculty||School of Science and Computing|
|curtin.faculty||Department of Computing|
|curtin.faculty||Faculty of Science and Engineering|