| 微生物连续培养非线性动力系统的性质及最优性条件 |
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| 引用本文： | 李晓红,冯恩民,修志龙. 微生物连续培养非线性动力系统的性质及最优性条件[J]. 工程数学学报, 2006, 23(1): 7-12 |
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| 作者姓名： | 李晓红 冯恩民 修志龙 |
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| 作者单位： | 1. 大连理工大学应用数学系,大连,116024
2. 大连理工大学化工学院,大连,116012 |
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| 摘 要： | 本文针对微生物连续发酵生产1,3-丙二醇非线性动力系统,以产物1,3-丙二醇的生产强度最大为目标泛函,建立最优控制模型。用不可微优化理论与方法证明了模型最优解的存在性与一阶最优性条件。论述了最优性函数与一阶最优性条件的等价性。
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| 关 键 词： | 最优控制 连续培养 最优性条件 |
| 文章编号： | 1005-3085（2006）01-0007-06 |
| 收稿时间： | 2004-03-08 |
| 修稿时间： | 2004-03-08 |
Property and Optimal Condition of Nonlinear Dynamic System for Microorganism in Continuous Culture |
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| LI Xiao-hong,FENG En-min,XIU Zhi-long. Property and Optimal Condition of Nonlinear Dynamic System for Microorganism in Continuous Culture[J]. Chinese Journal of Engineering Mathematics, 2006, 23(1): 7-12 |
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| Authors: | LI Xiao-hong FENG En-min XIU Zhi-long |
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| Affiliation: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024 2. School of Chemical Engineering, Dalian University of Technology, Dalain 116012 |
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| Abstract: | The nonlinear dynamic system for productivity of 1,3-propanediol from continuous fermen-tation of microorganism is considered. Taking the maximal production strength of 1,3-propanediol as the objective function, an optimal control model is given. The existence of optimal solution and first order optimal condition are proved according to the optimal theory and methods of nondifferentiable function. The equivalence between the optimality function and the first order optimal condition is discussed. |
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| Keywords: | optimal control continuous culture optimal condition |
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