| Volterra系统Hopf分岔控制研究 |
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| 引用本文： | 李鹏松,吕雪,盛桂全. Volterra系统Hopf分岔控制研究[J]. 东北电力学院学报, 2013, 0(6): 29-32 |
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| 作者姓名： | 李鹏松 吕雪 盛桂全 |
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| 作者单位： | 东北电力大学理学院,吉林吉林132012 |
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| 摘 要： | 研究单参数Volterra系统的Hopf分岔控制。根据规范型理论，利用二次非线性控制器，将系统的亚临界Hopf分岔控制为超临界Hopf分岔，使系统产生稳定的极限环，并讨论了控制器增益对极限环幅值的影响。理论分析和仿真结果一致，验证了所设计控制器的有效性。
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| 关 键 词： | Voherra系统 亚临界Hopf分岔 超临界Hopf分岔 tP线性控制 |
Study on Hopf Bifurcation Control of Volterra System |
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| LI Peng-song,LV Xue,SHENG Gui-quan. Study on Hopf Bifurcation Control of Volterra System[J]. Journal of Northeast China Institute of Electric Power Engineering, 2013, 0(6): 29-32 |
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| Authors: | LI Peng-song LV Xue SHENG Gui-quan |
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| Affiliation: | (Science College, Northeast Dianli University ,Jilin Jilin 132012 ) |
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| Abstract: | We investigate the Hopf bifurcation control of Volterra system with single parameter. According to the theory of Normal Form,the subcritical Hopf bifurcation is transformed into supercritical one by quadratic nonlinear controller,make the system to produce a stable limit cycle. The theoretical analysis result is consist-ent with the numerical simulation result based on the Volterra system. |
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| Keywords: | Volterra system Subcritical Hopf bifurcation Supercritical Hopf bifurcation Nonlinear control |
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