State space approach to behavioral systems theory: the Dirac-Bergmann algorithm

被引：0

作者：

Sule, VR ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect Engn, Bombay 400076, Maharashtra, India

来源：

SYSTEMS & CONTROL LETTERS | 2003年 / 50卷 / 02期

关键词：

behavioral systems theory; state space models; pencil representation; matrix pencils; constrained dynamics; controllability; observability;

D O I：

10.1016/S0167-6911(03)00151-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper develops an approach to behavioral systems theory in which a state space representation of behaviors is utilised. This representation is a first order hybrid representation of behaviors called pencil representation. An algorithm well known after Dirac and Bergmann (DB) is shown to be central in obtaining a constraint free and observable (CFO) state space representation of a behavior. Results and criteria for asymptotic stability, controllability, inclusions and Markovianity of behaviors are derived in terms of the matrices of this representation which involve linear algebraic processes in their computation. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：149 / 162

页数：14

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