| 来源类型 | Article
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| 规范类型 | 其他
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| DOI | 10.1007/s002459900066
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| Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints. |
| Mordukhovich BS; Zhang K
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| 发表日期 | 1997
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| 出处 | Applied Mathematics & Optimization 36 (3): 323-360
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| 出版年 | 1997
|
| 语种 | 英语
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| 摘要 | In this paper we formulate and study a minimax control problem for a class of parabolic systems with controlled Dirichlet boundary conditions and uncertain distributed perturbations under pointwise control and state constraints. We prove an existence theorem for minimax solutions and develop effective penalized procedures to approximate state constraints. Based on a careful variational analysis, we establish convergence results and optimality conditions for approximating problems that allow us to characterize suboptimal solutions to the original minimax problem with hard constraints. Then passing to the limit in approximations, we prove necessary optimality conditions for the minimax problem considered under proper constraint qualification conditions. |
| 主题 | Dynamic Systems (DYN)
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| 关键词 | Approximations, Constraint qualification, Dirichlet boundary controls, Minimax criterion, Parabolic equations, State constraints, Uncertain disturbances, Variational inequalities.
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| URL | http://pure.iiasa.ac.at/id/eprint/5089/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 引用统计 |
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127625
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推荐引用方式
GB/T 7714 |
Mordukhovich BS,Zhang K. Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints.. 1997.
|
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