摘要
研究一类基于个体年龄的等级结构捕食种群系统模型的近似可控性及零解镇定问题.以线性系统的可控性结果为基础,运用多值映射的不动点方法证明了非线性系统的可控性,通过构造辅助的最优控制问题给出了控制策略的选取原则.当零解不稳定时,借助反馈控制和共轭系统对镇定所需的迁移控制作了精细描述.
This paper is concerned with the controllability and stabilization of the zero state for a hierarchical system of age-dependent population model.Based on a result in linear systems,the approximate controllability of the nonlinear model is proved by the Fan-Glicksberg's fixed theorem in multi-valued mappings,and the choice of the control is speci fied by an auxiliary optimal control problem.When the zero state is unstable,a stabilizing migration policy is carefully described by a feedback control and an adjoint system.
作者
何泽荣
徐俊芳
HE Ze-rong;XU Jun-fang(Institute of Operational Research and Cybernetics,Hangzhou Dianzi University,Hangzhou 310018,China)
出处
《高校应用数学学报（A辑）》
北大核心
2021年第3期253-264,共12页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11871185)
浙江省自然科学基金(LY18A010010)。
