Optimal control of semilinear parabolic systems with state constraint

被引:3
作者
Liu, Hanbing [1 ]
Yang, Juan [2 ]
机构
[1] China Univ Geosci, Dept Math & Phys, Wuhan 430074, Hubei, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 10086, Peoples R China
关键词
Optimal control; Semilinear parabolic systems; Maximum principle; State constraint; DISTRIBUTED-PARAMETER-SYSTEMS; BANACH-SPACES; EQUATIONS; PRINCIPLE; BOUNDARY;
D O I
10.1016/j.jmaa.2014.03.070
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this work is to obtain the existence of optimal solution and maximum principle for optimal control problem with pointwise type state constraint governed by semilinear parabolic systems with certain polynomial-like nonlinearity. Application to optimal control problems of the phase transition system is given. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:787 / 803
页数:17
相关论文
共 18 条
[1]   A Lagrange multiplier theorem for control problems with state constraints [J].
Alibert, JJ ;
Raymond, JP .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1998, 19 (7-8) :697-704
[2]  
[Anonymous], 1993, MATH SCI ENG
[3]  
Barbu V, 2010, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-1-4419-5542-5
[4]   Internal stabilization of semilinear parabolic systems [J].
Barbu, V ;
Wang, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (02) :387-407
[5]   State constrained optimal control problems governed by semilinear equations [J].
Barbu, V .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2000, 21 (3-4) :411-424
[6]  
BARBU V, 1986, E EUROPEAN SERIES, V10
[7]  
CAGINALP G, 1986, ARCH RATION MECH AN, V92, P205
[8]   Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations [J].
Casas, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (04) :1297-1327
[9]   OPTIMAL-CONTROL PROBLEMS FOR DISTRIBUTED-PARAMETER SYSTEMS IN BANACH-SPACES [J].
FATTORINI, HO .
APPLIED MATHEMATICS AND OPTIMIZATION, 1993, 28 (03) :225-257
[10]  
Henry D., 1981, GEOMETRIC THEORY SEM