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线性分式不确定时变时滞奇异系统的鲁棒稳定性分析
引用本文:赵杰梅,张显,张利军.线性分式不确定时变时滞奇异系统的鲁棒稳定性分析[J].黑龙江大学自然科学学报,2011,28(1):8-13.
作者姓名:赵杰梅  张显  张利军
作者单位:1. 哈尔滨工程大学,自动化学院,哈尔滨,150001
2. 黑龙江大学,数学科学学院,哈尔滨,150080
基金项目:Supported by the National Natural Science Foundation of China(G60704004); the Fund of Heilongjiang Education Committee(11541264)
摘    要:研究带有两个时变时滞不确定奇异系统的鲁棒稳定性问题,不确定是线性分式形式.最近,一种包含多个时滞的模型被提出.把此模型推广到奇异系统,通过线性矩阵不等式方法,给出使系统正则,无脉冲和稳定的时滞相关判据.数值例子表明了所提出方法的有效性和优越性.

关 键 词:奇异系统  时变时滞  鲁棒稳定  线性分式不确定

Robust stability analysis for linear fractional uncertain singular systems with time-varying delay
ZHAO Jie-mei,ZHANG Xian,ZHANG Li-jun.Robust stability analysis for linear fractional uncertain singular systems with time-varying delay[J].Journal of Natural Science of Heilongjiang University,2011,28(1):8-13.
Authors:ZHAO Jie-mei  ZHANG Xian  ZHANG Li-jun
Institution:ZHAO Jie-mei1,ZHANG Xian2,ZHANG Li-jun1(1.College of Automation,Harbin Engineering University,Harbin 150001,China,2.School of Mathematical Science,Heilongjiang University,Harbin 150080,China)
Abstract:The robust stability problem for uncertain singular systems with two additive time-varying delay components is considered.The uncertainty under consideration is of a linear fractional form.The state-space systems that contain multiple successive state delays are generalized to singular systems.Via linear matrix inequality(LMI) approach,a delay-dependent stability criterion is given to ensure the singular system is regular,impulse free and stable for all admissible uncertainties.Numerical examples are given ...
Keywords:singular systems  time-varying delay  robust stability  linear fractional uncertainty  
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