| 具状态观测的非线性种群系统的最优控制 |
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| 引用本文： | 顾建军,王晓明.具状态观测的非线性种群系统的最优控制[J].常熟理工学院学报,2009,23(2):25-29. |
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| 作者姓名： | 顾建军 王晓明 |
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| 作者单位： | 1. 常熟理工学院,数学系,江苏,常熟,215500
2. 无锡工艺职业技术学院,基础部,江苏,宜兴,214206 |
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| 摘 要： | 研究了由积分偏微分方程描述的具有年龄结构的非线性种群系统的最优控制问题．由紧性定理和Mazur＇s定理证明了控制问题最优解的存在性，同时借助于法锥概念，还得到了控制问题最优解存在的必要条件．
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| 关 键 词： | 最优控制 积分-偏微分方程 年龄结构 Pontryagin's原理 |
Optimal Control for a Nonlinear Population Dynamics with State Observation |
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| GU Jian-jun,WANG Xiao-ming.Optimal Control for a Nonlinear Population Dynamics with State Observation[J].Journal of Changshu Institute of Technology,2009,23(2):25-29. |
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| Authors: | GU Jian-jun WANG Xiao-ming |
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| Institution: | 1.Department of Mathematics;Changshu Institute of Technology;Changshu 215500;China;2.Department of Basic Courses;Wuxi Institute of Arts & Technology;Yixing 214206;China |
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| Abstract: | The optimal control problem for the age-dependent nonlinear population dynamics represented by integral partial differential equations is discussed.By compactness theorem and Mazur's theorem,existence of solutions of the optimal control problem is demonstrated and by the conception of normal cone,we also obtain the first order necessary conditions of optimality for the problem. |
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| Keywords: | optimal control integral partial differential equations age-dependent Pontryagin's principle |
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