| 参数优化的对偶性及在控制问题中的应用 |
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| 引用本文： | 贾继红.参数优化的对偶性及在控制问题中的应用[J].东莞理工学院学报,2007,14(5):1-5. |
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| 作者姓名： | 贾继红 |
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| 作者单位： | 东莞理工学院,软件学院,广东东莞,523808 |
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| 摘 要： | 研究了Banach空间中参数优化问题的对偶问题,在不变类凸假设下,获得了Wolfe对偶的弱对偶定理和强对偶定理.作为应用,研究了一类最优控制问题的Wolfe对偶.
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| 关 键 词： | Wolfe对偶 不变类凸 Lagrange函数 最优控制 |
| 文章编号： | 1009-0312（2007）05-0001-05 |
| 收稿时间： | 2006-10-10 |
| 修稿时间： | 2006年10月10 |
Duality Theorem for Optimization Problems with Parameters and Its Application to Problem Control |
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| JIA Ji-hong.Duality Theorem for Optimization Problems with Parameters and Its Application to Problem Control[J].Journal of Dongguan Institute of Technology,2007,14(5):1-5. |
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| Authors: | JIA Ji-hong |
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| Institution: | Software College, Dongguan University of Technology, Dongguan 523808, China |
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| Abstract: | This paper made a study of Wolfe duality for optimization problems with parameters in Banach spaces. In Invex-convexlike hypothesis, weak duality theorem and strong duality theorem for Wolfe duality were obtained. For application, the optimal control theory was also dealt with. |
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| Keywords: | Wolfe duality invex-convexlike Lagrange optimal control |
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