| 反周期微分包含受控系统的最优控制 |
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| 引用本文： | 韦维. 反周期微分包含受控系统的最优控制[J]. 青岛大学学报(自然科学版), 2001, 14(4): 1-7 |
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| 作者姓名： | 韦维 |
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| 作者单位： | 贵州大学数学系,贵州,贵阳,550025 |
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| 基金项目： | Guizhou Upiversity research fund |
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| 摘 要： | 本文首先证明了Hilbert空间中一类微分包含的反周期解的存在唯一性,进而得到了相应的Langrange最优控制存在的充分条件。最后将得到的理论结果应用于证明一类非线性偏微分方程反周期问题及相应的最优控制问题的存在性。
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| 关 键 词： | 微分包含 最优控制 反周期解 |
OPTIMAL CONTROL OFSYSTEMS GOVERNED BY ANTI-PERIODIC DIFFERENTIAL INCLUSIONS |
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| Abstract. OPTIMAL CONTROL OFSYSTEMS GOVERNED BY ANTI-PERIODIC DIFFERENTIAL INCLUSIONS[J]. Journal of Qingdao University(Natural Science Edition), 2001, 14(4): 1-7 |
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| Authors: | Abstract |
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| Abstract: | In this paper, the existence and uniqueness of anti-periodic solutions to differential inclusion in a Hilbert space is established. The existence for a class of Langrange optimal control is presented. An example of theory applied to nonlinear partial differential equation is also discussed. |
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| Keywords: | Anti-periodic solution Differential inclusion Optimal control |
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