| 具终端观测且与年龄相关的非线性种群扩散系统的最优控制 |
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| 引用本文： | 李健全,陈任昭. 具终端观测且与年龄相关的非线性种群扩散系统的最优控制[J]. 高校应用数学学报(A辑), 2008, 23(3) |
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| 作者姓名： | 李健全 陈任昭 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州,510631;东北师范大学数学科学学院,吉林长春,130024 |
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| 摘 要： | 讨论了一类具终端观测且与年龄相关的非线性时变种群扩散系统的最优分布控制问题利用偏微控制理论和先验估计,证明了系统最优分布控制的存在性,得到了控制为最优的一阶必要条件,并进而讨论了系统的最优反馈控制问题.
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| 关 键 词： | 非线性 种群扩散系统 最优分布控制 一阶必要条件 反馈控制 |
Optimal control for age-dependent non-linear population diffusion system with final state observation |
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| LI Jian-quan,CHEN Ren-zhao. Optimal control for age-dependent non-linear population diffusion system with final state observation[J]. Applied Mathematics A Journal of Chinese Universities, 2008, 23(3) |
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| Authors: | LI Jian-quan CHEN Ren-zhao |
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| Abstract: | In this paper,the optimal distributed control problems for a class of age-dependent non-linear population diffusion system with final state observation are studied.By the partial-differential control theories and prior estimates,the existence of the optimal distributed control for the system is proved and the first-order necessary conditions for a control to be optimal are obtained.Further,the optimal feed-back control problem is discussed. |
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| Keywords: | non-linear population diffusion system optimal distributed control first-order necessary condition feed-back control |
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