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Stabilization analysis for discrete-time systems with time delay

delete2010-06-01
delete19
PRE
AI
Z
Zixin Liu *
S
Shu Lü
S
Shouming Zhong
M
Mao Ye
DOI:10.1016/j.amc.2010.03.033delete
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摘要

摘要

En 中文
The stabilization problem for a class of discrete-time systems with time-varying delay is investigated. By constructing an augmented Lyapunov function, some sufficient conditions guaranteeing exponential stabilization are established in forms of linear matrix inequality (LMI) technique. When norm-bounded parameter uncertainties appear in the delayed discrete-time system, a delay-dependent robust exponential stabilization criterion is also presented. All of the criteria obtained in this paper are strict linear matrix inequality conditions, which make the controller gain matrix can be solved directly. Three numerical examples are provided to demonstrate the effectiveness and improvement of the derived results. (C) 2010 Elsevier Inc. All rights reserved.
Keyword:
Exponential stabilization
Delay-dependent stabilization
Discrete-time system
Time-varying delay
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

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