| 一类时谐微波加热系统最优控制问题的必要条件 |
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| 引用本文： | 邓红勇,韦维. 一类时谐微波加热系统最优控制问题的必要条件[J]. 贵阳金筑大学学报, 2009, 0(3): 11-14,23 |
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| 作者姓名： | 邓红勇 韦维 |
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| 作者单位： | 贵阳中医学院基础部;贵州大学数学系; |
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| 摘 要： | 本文讨论的是受控制系统为线性的时谐微波加热系统（即为时谐Maxwell方程与热传导方程的耦合），给出了目标为均匀加热且耗能最小时的和最优控制问题的数学模型和必要条件。
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| 关 键 词： | 微波加热 最优控制 Maxwell方程 耦合系统 必要条件 |
The Necessary Conditions of Optimal Control Problem for a Class of Time-harmonic Microwave Heating Process |
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| DENG Hong-yong,WEI Wei. The Necessary Conditions of Optimal Control Problem for a Class of Time-harmonic Microwave Heating Process[J]. Journal of Jinzhu University of Guiyang, 2009, 0(3): 11-14,23 |
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| Authors: | DENG Hong-yong WEI Wei |
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| Affiliation: | DENG Hong-yong,WEI Wei (1.BasicDepartment,Guiyang College of Traditional Chinese Medicine,Guiyang Guizhou 550002,China,2.Mathematics Department,Guizhou University,Guiyang Guizhou 550025,China) |
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| Abstract: | With the goals of achieving uniform heating efficiency and lowest energy consumption,the mathematical model and necessary conditions of optimal control problem for the linear system governed by time-harmonic microwave heating(i.e.time-harmonic Maxwell equations coupled heat conduction equation) are discussed in this paper. |
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| Keywords: | microwave heating Maxwell equations coupled system optimal control necessary conditions |
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