Minimax control for evolutionary variational bilateral problem

被引：1

作者：

Chen, QH ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 02期

基金：

中国国家自然科学基金;

关键词：

evolutionary bilateral variational inequality; minimax control; existence; optimality condition;

D O I：

10.1016/j.na.2004.02.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a minimax control problem for semilinear evolutionary variational inequalities associated with bilateral constraints. The control domain is not necessarily convex. The cost functional, which is to be minimized, is the sup norm of some function of the state and the control. The major novelty of such a problem lies in the simultaneous presence of the nonsmooth state equation (variational inequality) and the nonsmooth cost functional (the sup norm). In this paper, the existence and the Pontryagin type necessary condition for optimal controls are established. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：229 / 252

页数：24

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