Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay

被引：5
|
作者：
Mukdasai, Kanit [1 ,2 ]
机构：
[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
D-STABILIZATION;
D O I：
10.1155/2012/237430
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (LPD) discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality (LMI) technique and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust exponential stability are obtained in terms of LMI. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.
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页数：13
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