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不确定离散时滞广义系统的参数依赖稳定条件
引用本文:张伟,时宝,盖明久.不确定离散时滞广义系统的参数依赖稳定条件[J].自动化技术与应用,2008,27(10):4-7.
作者姓名:张伟  时宝  盖明久
作者单位:海军航空工程学院应用数学研究所,山东,烟台,264001
摘    要:研究了一类具有凸多面体不确定性的离散时滞广义系统的鲁棒稳定性问题。基于参数依赖的Lyapunov函数和线性矩阵不等式方法,推导出使系统正则、因果且鲁棒稳定的时滞相关型充分条件。算例验证了本文方法的可行性。

关 键 词:离散广义系统  凸多面体不确定性  参数依赖LYAPUNOV函数  时滞相关  线性矩阵不等式

Parameter-Dependent Stability of Uncertain Discrete-Time Singular Systems with Time Delay
ZHANG Wei,SHI Bao,GAI Ming-Jiu.Parameter-Dependent Stability of Uncertain Discrete-Time Singular Systems with Time Delay[J].Techniques of Automation and Applications,2008,27(10):4-7.
Authors:ZHANG Wei  SHI Bao  GAI Ming-Jiu
Affiliation:( Institute of Applied Mathematics, Naval Aeronautical Engineering Academy, Yantai 264001 China )
Abstract:The problem of robust stability for a class of discrete-time singular systems with polytopic-type uncertainties and time delay is considered. Based on the parameter-dependent Lyapunov function and linear matrix inequalities a sufficient delay-dependent condition is derived in the paper. Numerical example is also given.
Keywords:discrete-time singular system  polytopic-type uncertainty  parameter-dependent Lyapunov function  delay-dependent  LMI
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