Regional constrained control problem for a class of semilinear distributed systems

被引：0

作者：

Zerrik E.H. ^{[1
]}

El Boukhari N. ^{[1
]}

机构：

[1] MACS team, Faculty of Sciences, Moulay Ismail University, Meknes

来源：

Control Theory and Technology | 2018年 / 16卷 / 3期

关键词：

constraints; heat equation; regional optimal control; Semilinear distributed systems;

D O I：

10.1007/s11768-018-6164-z

中图分类号：

学科分类号：

摘要：

The aim of this paper is to investigate a regional constrained optimal control problem for a class of semilinear distributed systems, which are linear in the control but nonlinear in the state. For a quadratic cost functional and a closed convex set of admissible controls, the existence of an optimal control is proven, and then this is characterized for three cases of constraints. A useful algorithm is developed, and the approach is illustrated through simulations for a heat equation. © 2018, South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.

引用

页码：221 / 231

页数：10

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