| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622388 | Journal of Mathematical Analysis and Applications | 2007 | 9 Pages |
Abstract
In this paper we introduce a new kind of nonnegative matrices which is called (sp) matrices. We show that the zero solutions of a class of linear discrete dynamical systems are asymptotically stable if and only if the coefficient matrices are (sp) matrices. To determine that a matrix is (sp) matrix or not is very simple, we need only to verify that some elements of the coefficient matrices are zero or not. According to the result above, we obtain the conditions for the stability of several classes of discrete dynamical systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
