| 具空间扩散的时变种群系统最优分布控制计算的乘子方法 |
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| 引用本文： | 付军,鞠静楠,朱宏. 具空间扩散的时变种群系统最优分布控制计算的乘子方法[J]. 松辽学刊, 2010, 31(1): 9-12,15 |
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| 作者姓名： | 付军 鞠静楠 朱宏 |
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| 作者单位： | [1]吉林师范大学数学学院,吉林四平136000 [2]吉林师范大学计算机学院,吉林四平136000 |
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| 基金项目： | 国家自然科学基金项目,吉林省教育厅十一五科学技术研究项目,吉林师范大学研究生创新项目 |
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| 摘 要： | 应用乘子方法研究了具空间扩散的时变种群系统最优分布控制的计算,用p和u作为两个相互独立变量的无约束的极小化问题的解簇{（pm,um）}来逼近有约束的极小化问题的解,得到了其解的逼近序列,并证明了该逼近序列的收敛性．
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| 关 键 词： | 乘子方法 时变种群扩散系统 最优分布控制 |
Multiplier Method on Calculation of Optimal Distributed Control for Time-varying Population System with Spatial Diffusion |
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| FU Jun,JU Jing-nan,ZHU Hong. Multiplier Method on Calculation of Optimal Distributed Control for Time-varying Population System with Spatial Diffusion[J]. Songliao Journal (Natural Science Edition), 2010, 31(1): 9-12,15 |
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| Authors: | FU Jun JU Jing-nan ZHU Hong |
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| Affiliation: | FU Jun1,JU Jing-nan1,ZHU Hong2(1.Department of Mathematics,Jilin Normal University,Siping 136000,China,2.Department of Computer,China) |
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| Abstract: | This paper studied the calculation of optimal distributed control for time-varying population system with spatial diffusion by multiplier method.Appling the solutions {pm,um} of the unconstraint minimization question to approach the solution(P(u),u) of the restraint,here p and u as independent variable.Thus,the paper structured the approximation sequence and proved convergence of the sequence. |
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| Keywords: | multiplier method time-varying population diffusion system optimal distributed control |
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