Existence, Uniqueness and Stability for a Class of Interval Projective Dynamical Systems

摘要

In this paper, a new class of interval projective dynamical systems in R~n × R~m is introduced and studied. By using Banach fixed point theorem, the sufficient conditions to ensure the existence and uniqueness for the equilibrium point of the interval dynamical systems is given. Moreover, the sufficient conditions to ensure the global exponential stability for the unique equilibrium point of the interval dynamical systems is also given by constructing the suitable Lyapunov function. Finally, two numerical examples are given to illustrate the results presented in this paper.