线性多胞体微分包含解的通有稳定性  

Generic Stability of Differential Inclusions of Linear Polytopes

作　　者：计伟 JI Wei(School of Information and Management, Guizhou Polytechnic of Construction, Guiyang 551400, China)

机构地区：[1]贵州建设职业技术学院信息管理学院,贵州贵阳551400

出　　处：《吉首大学学报（自然科学版）》2021年第5期8-11,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(11661020)。

摘　　要：研究了线性多胞体微分包含解的通有稳定性.应用集值分析方法,证明了线性多胞体微分包含关于右端部分及其初始值发生扰动时对应的解具有通有稳定性,即在Baire纲意义下大多数线性多胞体微分包含具有本质解.The generic stability of differential inclusions of linear polytopes is studied.Through set-valued analysis,we prove that the differential inclusions of the linear polytopes have generic stability with respect to perturb parts of the right and initial pair of linear polytopes;that is,most of differential inclusions of linear polytopes have essential solution in the Baire category.

关 键 词：线性多胞体 微分包含 集值映射 通有稳定性 本质解 

分 类 号：O225[理学—运筹学与控制论] O231[理学—数学]