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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.doi:10.2140/pjm.2000.192.239 fatcat:me27ytwgu5dt3jewthg7secdh4