基于尺度结构的两种群竞争系统的最优边界控制  

Optimal boundary control for a two-species competing system with size-structure

作　　者：卜红彧[1] BU Hong-yu(Mathematics Department of Teacher's College,Eastern Liaoning University,Dandong 118003,China)

机构地区：[1]辽东学院师范学院数学系,辽宁丹东118003

出　　处：《东北师大学报（自然科学版）》2020年第3期84-88,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11665019);辽宁省科技计划项目(W2011162).

摘　　要：研究了基于尺度结构的两种群非线性竞争系统的最优边界控制问题,由Mazur定理证明了最优边界控制的存在性,借助于法锥概念得到了最优条件.The optimal boundary control for a two-species competing system with size-structure is investigated,the existence of the optimal boundary control is proved by Mazur'theorem and the optimal condition is derived by means of normal cone.

关 键 词：尺度结构 竞争系统 最优边界控制 最优条件 

分 类 号：O231.4[理学—运筹学与控制论]