Existence, stability and optimality for optimal control problems governed by maximal monotone operators

被引：10

作者：

Briceno-Arias, Luis M. ^{[1
]}

Nguyen Dinh Hoang ^{[1
]}

Peypouquet, Juan ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Av Espana 1681, Valparaiso, Chile

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 01期

关键词：

Optimal control; Maximal monotone differential inclusions; Normal cone mappings; Discrete approximations; Variational analysis; Generalized differentiation; SWEEPING PROCESS; DIFFERENTIAL-INCLUSIONS; DISCRETE APPROXIMATIONS; EVOLUTION-EQUATIONS; HILBERT-SPACES; BV SOLUTIONS; MINIMIZATION; TIME; SET;

D O I：

10.1016/j.jde.2015.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study optimal control problems governed by maximal monotone differential inclusions with mixed control-state constraints in infinite dimensional spaces. We obtain some existence results for this kind of dynamics and construct the discrete approximations that allows us to strongly approximate optimal solutions of the continuous-type optimal control problems by their discrete counterparts. Our approach allows us to apply our results for a wide class of mappings that are applicable in mechanics and material sciences. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：733 / 757

页数：25

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