一类微分代数系统的受控不变分布及其不变性

王文涛;李媛

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (7) : 925-936.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (7) : 925-936. DOI: 10.12341/jssms08432
论文

一类微分代数系统的受控不变分布及其不变性

    王文涛, 李媛
作者信息 +

Controlled Invariant Distributions for a Class of Nonlinear Differential-Algebraic Systems and Their Invariant Properties

    WANG Wentao, LI Yuan
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摘要

针对一类非线性微分代数系统,利用M导数方法,给出了受控不变分布的概念,并讨论了此类微分代数系统受控不变分布的一些性质.给出了一个计算包含在系统输出核(kerE(h))内的最大受控不变分布的算法,同时讨论了该算法的一些性质.最后,给出一个例子说明如何利用给出的算法计算微分代数系统的包含在系统输出核内的最大受控不变分布.

Abstract

In this paper, by means of M-derivative methods, the concept of controlled invariant distributions is introduced to a class of nonlinear differential-algebraic systems, and some invariant properties on this distribution are discussed. An algorithm of calculating the maximal controlled invariant distributions contained in the system output kernel is developed, and some properties on this algorithm are discussed. An example of calculating the maximal controlled invariant distributions contained in the system output kernel is provided to illustrate the results of the paper.

关键词

微分代数系统 / 受控不变分布 / 输出核 / 算法.

Key words

Differential-algebraic systems / controlled invariant distributions / output kernel / algorithm.

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王文涛 , 李媛. 一类微分代数系统的受控不变分布及其不变性. 系统科学与数学, 2009, 29(7): 925-936. https://doi.org/10.12341/jssms08432
WANG Wentao , LI Yuan. Controlled Invariant Distributions for a Class of Nonlinear Differential-Algebraic Systems and Their Invariant Properties. Journal of Systems Science and Mathematical Sciences, 2009, 29(7): 925-936 https://doi.org/10.12341/jssms08432
中图分类号： 34D05    93D15   
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