Optimal Control of Non-convex Measure-driven Differential Inclusions

被引：0
作者：
Warren Joseph Code
Philip D. Loewen
机构：
[1] University of British Columbia,Department of Mathematics
来源：
Set-Valued and Variational Analysis | 2011年 / 19卷
关键词：
Optimal control; Necessary conditions; Impulsive systems; Measure-driven dynamics; 49N25; 49K21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Necessary conditions for optimality in control problems with differential-inclusion dynamics have recently been developed in the non-convex case by Clarke, Vinter, and others. Using appropriate reparametrizations of the time variable, we extend these results to systems whose dynamics involve a differential inclusion where a vector-valued measure appears. An auxiliary result central to our proof is an extension of existing free end-time necessary conditions to Clarke’s stratified framework.
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页码：203 / 235
页数：32
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