Optimal Control of Differential Inclusions, I: Lipschitzian case

被引：3

作者：

Mordukhovich, B. S. ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2019年 / 30卷

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

optimal control; Lipschitzian differential inclusions; variational analysis; discrete approximations; generalized differentiation; DISCRETE APPROXIMATIONS;

D O I：

10.26516/1997-7670.2019.30.45

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation. The first part describes the method, appropriate machinery of variational analysis and then presents the main result on necessary optimality conditions in maximum principle form for Lipschitzian differential inclusions.

引用

页码：45 / 58

页数：14

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