| 一类无限维非线性发展系统的最优控制与松弛化(英文) |
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| 引用本文： | PSattayatham,旷华武.一类无限维非线性发展系统的最优控制与松弛化(英文)[J].贵州大学学报(自然科学版),1999(4). |
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| 作者姓名： | PSattayatham 旷华武 |
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| 作者单位： | 苏兰拉里理工大学!泰国(PSattayatham)，贵州大学数学系!贵阳550025(旷华武) |
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| 基金项目： | SuppoetedbyTheScienceCommissionofGuizhouPrivince |
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| 摘 要： | 研究一类主算子是紧C0 半群生成元的非线性发展系统的最优控制与松弛化 ,在合理假设下 ,证明了原始解轨道与原始最优控制的存在性 .引入松弛化方法 ,研究了松弛化解轨道的性质 ,证明了一个松弛化定理
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| 关 键 词： | 发展系统 紧半群 时滞 最优控制 松弛化 |
Relaxation And Optimal Controls For A Class Of Infinite Dimensional Nonlinear Evolution Systems |
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| P Sattayatham.Relaxation And Optimal Controls For A Class Of Infinite Dimensional Nonlinear Evolution Systems[J].Journal of Guizhou University(Natural Science),1999(4). |
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| Authors: | P Sattayatham |
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| Abstract: | Original and relaxed optimal controls for a class of nonlinear evolution equations with principal operator being the infinitesimal generator of a compact C 0-semigroup are studied. Under some reasonable conditions , the existences of original trajectories and original optimal controls are proved. Then we introduce corresponding relaxed controlled systems and consider existence and properties of relaxed trajectories. Further density of the set of original trajectories in the set of relaxed trajectories and a relaxatoin theorem are presented. |
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| Keywords: | evolution equations compact semigroup time lag compactness optimal-control relaxation |
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