On the stability of canonical forms of singular linear difference systems

被引：0

作者：

Chen, GT ^{[1
]}

Fahim, A

机构：

[1] Univ Lille 1, CNRS, URA 751, F-59655 Villeneuve Dascq, France

[2] Univ La Rochelle, F-17042 La Rochelle, France

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2000年 / 192卷 / 02期

关键词：

D O I：

10.2140/pjm.2000.192.239

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the formal reduction by a method of deformation of orbits under the adjoint representation of GL(n, C), we have proved the existence and uniqueness (up to equivalence under GL(n, C)) of a formal canonical form of systems of singular linear difference equations. In this paper we study the stability of the irregular part of the canonical form under perturbation of the matrix coefficients.

引用

页码：239 / 256

页数：18

共 50 条

[21] Canonical forms and switching laws for linear switched systems
Perera, P. C.
2006 INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION, 2007, : 121 - 125
[22] Quasidifferentiability and canonical forms of linear nonstationary observation systems
Astrovskii, A. I.
Gaishun, I. V.
DIFFERENTIAL EQUATIONS, 2010, 46 (03) : 428 - 436
[23] SOME CANONICAL FORMS FOR LINEAR-MULTIVARIABLE SYSTEMS
SINHA, NK
ROZSA, P
INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (06) : 865 - 883
[24] Canonical Forms of Generic Piecewise Linear Continuous Systems
di Bernardo, Mario
Montanaro, Umberto
Santini, Stefania
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (08) : 1911 - 1915
[25] Belitskii's canonical forms of linear dynamical systems
Chen, Yuan
Nie, Liujie
Xu, Yunge
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 531 : 533 - 536
[26] Canonical forms for singular systems with outputs under restricted system equivalence
Vafiadis, D
Karcanias, N
SYSTEM STRUCTURE AND CONTROL 1995, 1996, : 307 - 312
[27] CANONICAL-FORMS AND SOLVABLE SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS
CAMPBELL, SL
PETZOLD, LR
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (04): : 517 - 521
[28] EXPONENTIAL STABILITY AND ROBUST STABILITY FOR LINEAR TIME-VARYING SINGULAR SYSTEMS OF SECOND ORDER DIFFERENCE EQUATIONS
Vu Hoang Linh
Ngo Thi Thanh Nga
Do Duc Thuan
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 39 (01) : 204 - 233
[29] The stability of parametric difference linear systems
Casabán, MC
Morera, JL
Rubio, G
Ossandón, GA
APPLIED MATHEMATICS LETTERS, 2004, 17 (10) : 1167 - 1169
[30] STABILITY OF LINEAR STOCHASTIC DIFFERENCE SYSTEMS
NEVELSON, MB
AUTOMATION AND REMOTE CONTROL, 1971, 32 (09) : 1521 - &

← 1 2 3 4 5 →