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非线性奇异系统的能控性子分布
引用本文:王文涛, 刘晓平, 赵军. 非线性奇异系统的能控性子分布. 自动化学报, 2004, 30(5): 716-722.
作者姓名:王文涛  刘晓平  赵军
作者单位:1.东北大学信息科学与工程学院控制科学研究所,沈阳;;;2.沈阳工业大学理学院,沈阳
基金项目:国家自然科学基金(69974007,60274009)资助~~
摘    要:研究非线性奇异控制系统的能控性子分布问题.提出了非线性奇异系统的能控性子分布的概念;研究了非线性奇异系统能控性子分布的反馈不变性质;给出了非线性奇异系统能控性子分布的算法,并讨论这个算法的一些性质;证明了在一定条件下,该算法给出的分布确为包含在某给定分布中的非线性奇异系统的最大能控性子分布.

关 键 词:非线性系统   奇异系统   能控不变分布   能控性子分布
收稿时间:2002-07-15
修稿时间:2002-07-15

Controllability Distributions of Nonlinear Singular Systems
WANG Wen-Tao, LIU Xiao-Ping, ZHAO Jun. Controllability Distributions of Nonlinear Singular Systems. ACTA AUTOMATICA SINICA, 2004, 30(5): 716-722.
Authors:WANG Wen-Tao  LIU Xiao-Ping  ZHAO Jun
Affiliation:1. College of Information Science and Engineering,Northeastern University,Shenyang;College of Science,Shenyang University of Technology,Shenyang
Abstract:The controllability distribution problem of nonlinear singular control systems is studied. The concept of controllability distribution is introduced for nonlinear singular control systems, and the feedback invariant properties of this controllability distribution are discussed. The algorithm of controllability distribution of nonlinear singular systems is developed, and the properties of this algorithm are discussed. Under certain conditions, the controllability distributions developed by this algorithm are exactly the maximal controllability distribution of nonlinear singular systems contained in the given distribution.
Keywords:Nonlinear systems   singular systems   controlled invariant distributions   controllability distributions
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