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| 基于广义Logistic赤潮模型的变结构控制 | |
| 引用本文： | 梅光,赵聪,赵立纯,刘敬娜.基于广义Logistic赤潮模型的变结构控制[J].鞍山师范学院学报,2012,14(4):7-11,20. |
| 作者姓名： | 梅光 赵聪 赵立纯 刘敬娜 |
| 作者单位： | 1. 鞍山师范学院,辽宁鞍山114007 辽宁师范大学,辽宁大连116029 2. 大连理工大学,辽宁大连,116024 3. 鞍山师范学院,辽宁鞍山,114007 |
| 摘 要： | 基于广义Logistic种群生长模型,建立一个浮游动植物相互作用模型,利用微分方程稳定性理论分析其平衡点的性态,得到模型由稳定到周期解的阈值.设计变结构控制器,抑制赤潮周期性爆发.最后,通过仿真模拟,验证结论的正确性. |
| 关 键 词： | 赤潮 广义Logistic模型 稳定性 变结构控制 |
Variable Structure Control of the Red Tide Model with General Logistic Growth |
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| MEI Guang,ZHAO Cong,ZHAO Li-chun,LIU Jing-na.Variable Structure Control of the Red Tide Model with General Logistic Growth[J].Journal of Anshan Teachers College,2012,14(4):7-11,20. | |
| Authors: | MEI Guang ZHAO Cong ZHAO Li-chun LIU Jing-na |
| Institution: | 1.Liaoning Normal University,Dalian Liaoning 114029,China; 2.Anshan Normal University,Anshan Liaoning 114007,China; 3.Dalian Uviversity of Technology,Dalian Liaoning 114024,China) |
| Abstract: | Based on population model with general Logistic growth,a interaction model between phytoplankton and zooplankton is proposed,the stability of the model id analyzed using stability theory of ordinary differential equations,and the critical value which makes the model stable around periodical solution is given.Variable structure control is designed to prevent the outbreak of Red Tide periodically.Finally,simulations are carried out to prove the results. |
| Keywords: | Red Tide General Logistic model Stability Critical value Approximate derivative controller |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |