数学杂志2023，Vol.43Issue(2)：135-150,16.
一类非线性时滞离散系统的渐近行为
ASYMPTOTIC BEHAVIOR OF NONLINEAR DELAYED DISCRETE SYSTEMS
摘要
Abstract
In this paper,we consider a two-dimensional vector nonlinear difference system with time delay.By using stability theory and optimal control theory,sufficient conditions for the global asymptotic stability of a unique positive equilibrium are obtained.For the associated optimal control problem of maximizing the consumption functional,the existence of optimal solutions is established as well as their stability.Finally,numerical simulation is carried out to illustrate the validity of our results.Our results generalize the corresponding results on a one-dimensional vector nonlinear difference system.关键词
时滞差分系统/全局渐近稳定/最优控制方法Key words
delayed difference system/global asymptotic stability/optimal control分类
数理科学引用本文复制引用
洪宇,宋兴传,田艳玲..一类非线性时滞离散系统的渐近行为[J].数学杂志,2023,43(2):135-150,16.基金项目
Supported by Natural Science Foundation of Guangdong Province(2020A1515010445). （2020A1515010445）
