New Exponential stability conditions for nonlinear impulsive discrete systems and nonlinear swith discrete systems with time delay

Abstract

In this thesis, we investigate globally exponential stbility of a nonlinear impulsive discrete system with time delays. The main objective of this thesis is to find new sufficient conditions to guarantee globally exponential stabilly of a nonlinear impulsive discrete system withtime-varying delays and a nonlinear switch discrete system with time delays. Some numerical examples are also given to illusteate the effectiveness of our theoretical results