Stability Results for a Class of Difference Systems with Delay
© Eva Kaslik. 2009
Received: 2 November 2009
Accepted: 13 December 2009
Published: 7 February 2010
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.
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