Asymptotic stability for 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2 \times 2$$\end{document} fractional nabla difference systems

In this article explicit criteria for asymptotic stability of linear two-dimensional fractional nabla difference systems with constant co-efficients, are presented. The main result gives a necessary and sufficient condition for asymptotic stability of the considered system in terms of trace and determinant of the matrix associated with the system. An example is provided to illustrate the applicability of established results.