| 一类脉冲动力系统的状态反馈控制 |
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| 引用本文： | 蒋贵荣,陆启韶,钱临宁.一类脉冲动力系统的状态反馈控制[J].动力学与控制学报,2005,3(4):17-23. |
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| 作者姓名： | 蒋贵荣 陆启韶 钱临宁 |
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| 作者单位： | 1. 北京航空航天大学理学院,北京,100083;桂林电子工业学院计算科学与数学系,桂林,541004
2. 北京航空航天大学理学院,北京,100083 |
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| 摘 要： | 对一类具有状态反馈控制的脉冲动力系统的动力学性质进行了研究．由周期解的扰动解得到了一个Poincare映射，利用Poincare映射讨论了系统周期解的分岔，并得到了半平凡周期解和正周期-1解存在和稳定的充分条件．定性分析和数学模拟表明，半平凡周期解通过fold分岔分钻出正周期-1解，正周期-1解通过flip分岔分岔出正周期-2解，再通过一系列flip分岔通向混沌，此外，讨论了脉冲状态反馈控制的效果．
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| 关 键 词： | 脉冲动力系统 状态反馈控制 分岔 周期解 |
| 收稿时间： | 2005-09-08 |
| 修稿时间： | 2005年9月8日 |
State feedback control of a class of impulsive dynamic systems |
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| Jiang Guirong,Lu Qishao and Qian Linning.State feedback control of a class of impulsive dynamic systems[J].Journal of Dynamics and Control,2005,3(4):17-23. |
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| Authors: | Jiang Guirong Lu Qishao and Qian Linning |
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| Affiliation: | 1. School of.Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China ; 2. Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004, China |
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| Abstract: | The dynamics of a class of impulsive dynamic systems with impulsive state feedback control was studied. A Poincare map was constructed to discuss the bifurcation of periodic solution, and the sufficient conditions for the existence and stability of semi-trivlal periodic solution and positive period-1 solution were obtained. The qualitative analysis and numerical results show that a positive period-1 solution bifurcates from the semi-trivial periodic solution through a fold bifurcation, a positive period-2 solution bifurcates from the positive period-1 solution through a flip bifurcation, and the chaotic solution is generated via a cascade of flip bifurcations. The superiority of the state feedback control strategy was also discussed. |
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| Keywords: | impulsive dynamic system state feedback control bifurcation periodic solution |
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