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  • Research Article
  • Open Access

Stability Results for a Class of Difference Systems with Delay

Advances in Difference Equations20102009:938492

https://doi.org/10.1155/2009/938492

  • Received: 2 November 2009
  • Accepted: 13 December 2009
  • Published:

Abstract

Considering the linear delay difference system , where , is a real matrix, and is a positive integer, the stability domain of the null solution is completely characterized in terms of the eigenvalues of the matrix . It is also shown that the stability domain becomes smaller as the delay increases. These results may be successfully applied in the stability analysis of a large class of nonlinear difference systems, including discrete-time Hopfield neural networks.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, West University of Timisoara, Bd. C. Coposu 4, 300223 Timisoara, Romania

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