一类区间时变时滞非线性广义系统的稳定性准则

O131%TP273; 研究了一类区间时变时滞非线性广义系统的稳定性问题.基于Lyapunov稳定性理论,应用线性矩阵不等式和自由权矩阵方法,给出了使得系统正则、无脉冲且一致渐近稳定的时滞相关型稳定性新准则.结果表明,所给准则可有效判定区间时变时滞非线性广义系统的稳定性,它比已有的一些结果具有更小的保守性,并且通过数值实例进行了验证....

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Published in浙江大学学报（理学版） Vol. 40; no. 4; pp. 411 - 415
Main Author 焦建民
Format Journal Article
LanguageChinese
Published 宝鸡文理学院数学系,陕西宝鸡,721013 2013
Subjects
区间时变时滞
稳定性
interval time-varying delay
linear matrix inequality (LMI)
线性矩阵不等式
nonlinear singular systems
非线性广义系统
stability
Online AccessGet full text
ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2013.04.011

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Abstract O131%TP273; 研究了一类区间时变时滞非线性广义系统的稳定性问题.基于Lyapunov稳定性理论,应用线性矩阵不等式和自由权矩阵方法,给出了使得系统正则、无脉冲且一致渐近稳定的时滞相关型稳定性新准则.结果表明,所给准则可有效判定区间时变时滞非线性广义系统的稳定性,它比已有的一些结果具有更小的保守性,并且通过数值实例进行了验证.
AbstractList O131%TP273; 研究了一类区间时变时滞非线性广义系统的稳定性问题.基于Lyapunov稳定性理论,应用线性矩阵不等式和自由权矩阵方法,给出了使得系统正则、无脉冲且一致渐近稳定的时滞相关型稳定性新准则.结果表明,所给准则可有效判定区间时变时滞非线性广义系统的稳定性,它比已有的一些结果具有更小的保守性,并且通过数值实例进行了验证.
Author 焦建民
AuthorAffiliation 宝鸡文理学院数学系,陕西宝鸡,721013
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Keywords 区间时变时滞
稳定性
interval time-varying delay
linear matrix inequality (LMI)
线性矩阵不等式
nonlinear singular systems
非线性广义系统
stability
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Title 一类区间时变时滞非线性广义系统的稳定性准则
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