| Lur'e系统稳定与同步的脉冲控制 |
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| 引用本文： | 孙继涛,吴启迪.Lur''''e系统稳定与同步的脉冲控制[J].应用数学和力学,2004,25(3):291-296. |
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| 作者姓名： | 孙继涛 吴启迪 |
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| 作者单位： | 1. 同济大学,应用数学系,上海,200092
2. 同济大学,CIMS研究中心,上海,200092 |
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| 基金项目： | 973项目(2002CB312200)，国家自然科学基金资助项目(79970030，60104004)，上海市自然科学基金资助项目(03ZR14095) |
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| 摘 要： | 提出了Lur’e系统的脉冲控制系统，利用关于脉冲系统稳定的几个定理，得到了具变化的脉冲区间的Lur'e系统镇定的充分条件；并且给出了Lur'e系统的适当参数与脉冲控制律，使得两个Lur'e系统脉冲同步。最后，给出数值例子说明本结论的有效性。
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| 关 键 词： | 脉冲控制 稳定 同步 Lur’e系统 |
| 文章编号： | 1000-0887(2004)03-0291-06 |
| 修稿时间： | 2002年10月26 |
Impulsive Control for the Stabilization and Synchronization of Lur'e Systems |
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| SUN Ji-tao,WU Qi-di.Impulsive Control for the Stabilization and Synchronization of Lur''''e Systems[J].Applied Mathematics and Mechanics,2004,25(3):291-296. |
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| Authors: | SUN Ji-tao WU Qi-di |
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| Institution: | SUN Ji-tao~1,WU Qi-di~2 |
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| Abstract: | An impulsive control scheme of the Lur'e system and several theorems on stability of impulsive control systems was presented, these theorems were then used to find the conditions under which the Lur'e system can be stabilized by using impulsive control with varying impulsive intervals.The parameters of Lur'e system and impulsive control law are given,a theory of impulsive synchronization of two Lur'e system is also presented. A numerical example is used to verify the theoretical result. |
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| Keywords: | impulsive control stabilization synchronization Lur'e system |
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