带有不确定量的Lipschitz非线性中立型时滞系统的稳定性分析和观测器设计  

Stability Analysis and Observer Design for Lipschitz Nonlinear Neutral-Type Delay System with Uncertainties

作　　者：张应奇[1,2] 刘彩侠[1] 慕小武[2] 

机构地区：[1]河南工业大学理学院,郑州450001 [2]郑州大学数学系,郑州450001

出　　处：《河南科学》2009年第1期6-10,共5页Henan Science

基　　金：国家自然科学基金资助项目(60874006);国家自然科学基金(数学天元基金)资助项目(10826078);河南工业大学校科研基金(07XJC013;07XJC046)

摘　　要：涉及一类带有不确定量的Lipschitz非线性中立型时滞系统性分析和观测器设计.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.通过利用矩阵正定分解,矩阵的奇异值分解,解线性矩阵不等式和广义逆定理,根据一些自由参数所希望设计的观测器然后被导出.This paper is concerned with the stability analysis and the observer design for Lipschitz nonlinear neutral-type delay systems with uncertainties. The Problem presented is to design a full-order observer to guarantee quadratic stability of the error. By using the matrix positive definite decomposition,matrix singular value decomposition generalized inverse theorem,and solving the linear matrix inequality,an explicit expression of the desired observer is derived in the light of some free parameters.

关 键 词：二次稳定 Lipschitz非线性中立型时滞系统 观测器设计 LYAPUNOV方法 

分 类 号：O231.2[理学—运筹学与控制论]