Stability of a time discrete perturbed dynamical system with delay

Let Cn be the set of n complex vectors endowed with a norm ‖⋅‖Cn. Let A,B be two complex n×n matrices and τ a positive integer. In the present paper we consider the nonlinear difference equation with delay of the type uk+1=Auk+Buk−τ+Fk(uk,uk−τ),      k=0,1,2,…, where Fk:Cn×Cn→Cn satisfies the condit...

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Bibliographic Details
Main Authors: Michael I. Gil', Sui Sun Cheng
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022699000084