A TUTORIAL ON THE GEOMETRIC ANALYSIS OF LINEAR TIME-INVARIANT IMPLICIT SYSTEMS

被引：92

作者：

LEWIS, FL

机构：

[1] Automation and Robotics Research Institute, The University of Texas at Arlington, Ft Worth, TX 76118

来源：

AUTOMATICA | 1992年 / 28卷 / 01期

基金：

美国国家科学基金会;

关键词：

IMPLICIT SYSTEMS; GENERALIZED STATE-SPACE SYSTEMS; LINEAR SYSTEMS; GEOMETRIC THEORY; INVARIANCE; DUALITY; CONTROLLABILITY AND OBSERVABILITY;

D O I：

10.1016/0005-1098(92)90012-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A background of recent work in nonregular and regular implicit systems of the form Ex = Ax + Bu is provided. Then, the output-nulling, unknown-input and composite subspaces are defined for singular systems, with recursions given for their computation. Inner subspaces, that is those in the domain of E and A, are distinguished from outer subspaces, those in the codomain of E and A. The notions of composite preimage and composite image are introduced. The result is a framework that unifies some of the recent work in the geometric theory of implicit systems. System properties are discussed for both regular and nonregular systems, and duality is investigated.

引用

页码：119 / 137

页数：19

共 96 条

[1] CONTROLLABILITY OF GENERALIZED LINEAR TIME-INVARIANT SYSTEMS [J].