Optimal Control Involving Sweeping Processes

被引：41
|
作者：
de Pinho, M. D. R. [1 ]
Ferreira, M. M. A. [1 ]
Smirnov, G. V. [2 ]
机构：
[1] Univ Porto, Fac Engn, DEEC, SYSTEC, Porto, Portugal
[2] Univ Minho, Dept Math & Applicat, Ctr Phys, Braga, Portugal
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2019年 / 27卷 / 02期
关键词：
Sweeping processes; Optimal control; Pontryagin maximum principle;
D O I：
10.1007/s11228-018-0501-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems we prove existence of solution and necessary conditions. The special feature of our approach resides on the nature of the approximating problems: in contrast with other literature these problems do not rely on distance functions to the sweeping set.
引用
收藏
页码：523 / 548
页数：26
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