New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays

Abstract

In this paper, we present some new explicit criteria for exponential stability of positive monotone homogeneous continuous-time difference systems. Then, we apply the comparison principle to prove some novel criteria for exponential stability of general nonlinear continuous-time difference systems with delays, not necessarily monotone and homogeneous. The obtained criteria include many results existing in the literature as particular cases. Some examples are given to illustrate the obtained results.