基于事件函数的脉冲微分系统的数值模拟  

Numerical Simulation of Impulsive Differential Systems Based on Event Function

作　　者：叶莉 党耀国[1] 陶有德 YE Li;DANG Yao-guo;TAO You-de(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;College of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China)

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016 [2]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《数学的实践与认识》2022年第8期122-127,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61272465);研究生科研创新基金(2016KYJJ31)。

摘　　要：主要研究状态脉冲微分系统的求解算法.利用ode求解器的事件定位功能,通过定义事件函数确定系统脉冲发生时刻,并对系统状态变量进行脉冲处理;利用Matlab语言设计脉冲微分系统的数值算法,并选取不同的脉冲系统进行仿真实验.Simulation algorithms for solving impulsive differential systems were considered in this paper.By the event definition function of ode solver,the impulsive moment was definited,and by impulsive processing,state variables of systems were solved;Matlab numerical language was used to design numerial simulation algorithms of impulsive differential systems,and select different impulsive systems for simulation experiment.

关 键 词：脉冲微分系统 事件函数 龙格-库塔算法 数值模拟 

分 类 号：O241.8[理学—计算数学]