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带有不确定量的Lipschitz非线性时滞系统的稳定性分析和观测器设计
引用本文:张应奇,胡博,刘彩侠.带有不确定量的Lipschitz非线性时滞系统的稳定性分析和观测器设计[J].河南教育学院学报(自然科学版),2008,17(2):1-4.
作者姓名:张应奇  胡博  刘彩侠
作者单位:河南工业大学,理学院,河南,郑州,450052
基金项目:河南工业大学科研基金项目
摘    要:分析了一类带有不确定量的Lipschitz非线性时滞系统的稳定性和观测器设计。关注的问题是设计一全维观测器以确保误差系统二次稳定。通过利用矩阵分解和解线性矩阵不等式,根据一些自由参数,希望设计的观测器显式表达式被导出。

关 键 词:二次稳定  Lipschitz非线性时滞系统  矩阵分解  线性矩阵不等式  观测器设计  Lyapunov方法

Stability Analysis and Observer Design for Lipschitz Nonlinear Delay System with Uncertainties
ZHANG Yingqi,HU Bo,LIU Caixia.Stability Analysis and Observer Design for Lipschitz Nonlinear Delay System with Uncertainties[J].Journal of Henan Education Institute(Natural Science Edition),2008,17(2):1-4.
Authors:ZHANG Yingqi  HU Bo  LIU Caixia
Institution:( Department of Mathematics, Henan University of Technology, Zhengzhou 450052, China)
Abstract:Concerned with the stability analysis and the observer design for Lipschitz nonlinear delay systems with uncertainties. The problem concerned is to design a full-order observer to guarantee quadratic stability of the error. By using the matrix decomposition and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.
Keywords:quadratic stability  Lipschitz nonlinear delay systems  matrix decomposition  linear matrix inequality  observer design  Lyapunov methods
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