Stability Results for a Class of Difference Systems with Delay
Advances in Difference Equations volume 2009, Article number: 938492 (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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Kaslik, E. Stability Results for a Class of Difference Systems with Delay. Adv Differ Equ 2009, 938492 (2010). https://doi.org/10.1155/2009/938492