| 一类具有非线性控制和基层具有饱和吸收率的恒化器藻类模型 |
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| 引用本文： | 裴永珍,李长国.一类具有非线性控制和基层具有饱和吸收率的恒化器藻类模型[J].生物数学学报,2009,24(2):201-206. |
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| 作者姓名： | 裴永珍 李长国 |
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| 作者单位： | 裴永珍(天津工业大学,理学院,天津,300161);李长国(军事交通学院,基础部,天津,300161) |
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| 摘 要： | 本文通过对藻类的增长率和基层的吸收率提出有生物意义的表达式，研究了一类具有非线性控制藻类恒花器模型．用定性理论证明了非线性控制可以使变产量的恒化器模型有一个全局渐进稳定的正平衡点．
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| 关 键 词： | 饱和吸收率 变产量模型 非线性控制 正平衡点 全局渐进稳定 |
A Kind of Algae Growth Models with Nonlinear Control and Saturated Substrate Uptake Rate in the Chemostat |
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| PEI Yong-zhen LI Chang-guo.A Kind of Algae Growth Models with Nonlinear Control and Saturated Substrate Uptake Rate in the Chemostat[J].Journal of Biomathematics,2009,24(2):201-206. |
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| Authors: | PEI Yong-zhen LI Chang-guo |
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| Institution: | PEI Yong-zhen~1 LI Chang-guo~2 (1 School of Science,Tianjin Polytechnic University,Tianjin 300161 China) (2 Department of Basic Science,Institute of Military Traffic,Tianjin 300161 China) |
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| Abstract: | By proposing some realistic analytical expressions for the growth rate of the algae and the substrate uptake rate,a kind of algae growth models with nonlinear control in the chemostat is studied.It is obtained that a nonlinear output feedback control stabilizes variable yield growth models in the chemostat. |
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| Keywords: | Saturated uptake rate Variable yield models Nonlinear control Positive equilibrium |
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