Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation

• 作者: Cuie Xiao Hui Zhu Youjun Xu
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: OPTIMAL Control Pontryagin’s MAXIMUM PRINCIPLE STATE CONSTRAINT
• 年，卷（期）: 2012,（12）
• 页码范围: 1888-1891
• 页数: 4页
• 分类号: O1

摘要

In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle. The main tools used are the Ekeland’s variational principle combined with penalization and spike variation techniques.