Vol. 192, No. 2, 2000

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On the stability of canonical forms of singular linear difference systems

Guoting Chen and Abdelmajid Fahim

Vol. 192 (2000), No. 2, 239–256
Abstract

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.

Milestones
Received: 25 June 1998
Published: 1 February 2000
Authors
Guoting Chen
URA CNRS 751
Université de Lille I
59655 Villeneuve D’Ascq
France
Abdelmajid Fahim
Université de La Rochelle
17042 La Rochelle
France