INDEX OF AN IMPLICIT TIME-VARYING LINEAR-DIFFERENTIAL EQUATION - A NONCOMMUTATIVE LINEAR ALGEBRAIC APPROACH

被引：9
作者：
FLIESS, M
LEVINE, J
ROUCHON, P
机构：
[1] ECOLE MINES PARIS,CTR AUTOMAT & SYST,60 BD ST MICHEL,F-75272 PARIS 06,FRANCE
[2] ESE,SIGNAUX & SYST,CNRS,F-91192 GIF SUR YVETTE,FRANCE
[3] ECOLE MINES PARIS,CTR AUTOMAT & SYST,F-77305 FONTAINEBLEAU,FRANCE
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 186卷
关键词：
D O I：
10.1016/0024-3795(93)90285-V
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An intrinsic definition of the index for implicit linear time-varying differential systems is proposed. This definition relies on linear algebraic techniques over the noncommutative principal ideal ring of nonconstant linear differential operators (noncommutative transfer function or state variable representation). Accordance with the existing definition for constant coefficient linear systems is demonstrated.
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页码：59 / 71
页数：13
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