Nonsingular -matrices and positive stable matrices play an important role in the stability of neural network system. In this paper, some criteria for nonsingular -matrices are obtained by the theory of diagonally dominant matrices and the obtained result is introduced into identifying the stability of neural networks. So the criteria for nonsingular -matrices are expanded and their application on neural network system is given. Finally, the effectiveness of the results is illustrated by numerical examples.
"Discussion for -Matrices and It’s Application." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/870592