| NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT |
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| 引用本文： | 汪更生. NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT[J]. 数学物理学报(B辑英文版), 2005, 25(1): 7-22. DOI: 10.1016/S0252-9602(17)30256-4 |
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| 作者姓名： | 汪更生 |
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| 作者单位： | DepartmentofMathematicsandtheCenterforOptimalControlandDiscreteMathematics,HuazhongNormalUniversity,Wuhan430079,China／／DepartmentofMathematics,WuhanUniversity,Wuhan430072,China |
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| 摘 要： | This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed. The basic techniques used here are based on those in [1] and a new penalty functional defined in this paper.
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| 关 键 词： | 必要条件 最优化控制 半线性椭圆型变量不等性 状态约束 希尔伯特空间 |
| 收稿时间： | 2001-10-09 |
NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT |
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| WANG Gengsheng. NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT[J]. Acta Mathematica Scientia, 2005, 25(1): 7-22. DOI: 10.1016/S0252-9602(17)30256-4 |
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| Authors: | WANG Gengsheng |
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| Affiliation: | 1. Department of Mathematics and the Center for Optimal Control and Discrete Mathematics, Huazhong Normal University, Wuhan 430079, China;2. Department of Mathematics, Wuhan University, Wuhan 430072, China;1. Department of Mathematics, Lvliang University, Lishi 033000, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China;3. Department of Physical, Mathematical and Engineering, University of Chester, CH1 4BJ, UK;1. Department of Applied Mathematics and Computer Science, University of Cantabria, Santander, Spain;2. Institute for Mathematics and Scientific Computing, University of Graz, Graz, Austria;3. Institute for Mathematics, Technical University of Berlin, Berlin, Germany |
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| Abstract: | This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed.The basic techniques used here are based on those in [1] and a new penalty functional defined in this paper. |
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| Keywords: | Variational inequality optimal control state constraint maximum principle |
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