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

页码：523 / 548

页数：26

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