On Linear Equivalence for Time-Delay Systems

被引：0

作者：

Califano, C. ^{[1
]}

Marquez-Martinez, L. A.

Moog, C. H. ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Informat & Sistemist Antonio Ruberti, Via Ariosto 25, I-00185 Rome, Italy

[2] IRCCyN, UMR CNRS 6597, F-92101 Nantes, France

来源：

2010 AMERICAN CONTROL CONFERENCE | 2010年

关键词：

INPUT-OUTPUT LINEARIZATION; RETARDED NONLINEAR-SYSTEMS; FEEDBACK LINEARIZATION; GEOMETRIC APPROACH; ASSIGNMENT;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of the present paper is to introduce new mathematical tools for the analysis and control of nonlinear time-delay systems (NLTDS). An Extended Lie bracket operation equivalent to the Lie bracket operation for system without delays is introduced. It will be shown that this operation, which generalizes that introduced in [19], helps to characterize certain properties of a given submodule, such as nilpotency. This basic property is then used to define the conditions under which a given unimodular matrix represents a bicausal change of coordinates. The effectiveness of the proposed approach will be shown by solving an important basic problem: to characterize if a NLTDS is equivalent or not, to a Linear Time-Delay System by bicausal change of coordinates.

引用

页码：6567 / 6572

页数：6

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