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Practical stability and controllability for nonlinear discrete time-delay systems

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Open access
Authors
Su, Z.
Zhang, Q.
Liu, Wan-quan
Date
2009
Type
Conference Paper

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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.
Source Title
7th IEEE international conference on control and automation
Source Conference
ICCA?09
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School of Science and Computing
Department of Computing
Faculty of Science and Engineering
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Abstract

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.