| IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR＇ E SYSTEMS |
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| 引用本文： | 陈继涛,吴启迪.IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR＇ E SYSTEMS[J].应用数学和力学(英文版),2004,25(3):322-328. |
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| 作者姓名： | 陈继涛 吴启迪 |
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| 作者单位： | [1]DepartmentofAppliedMathematics,TongjiUniversity,Shanghai200092,P.R.China [2]CIMSResearchCenter,TongjiUniversity,Shanghai200092,P.R.China |
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| 摘 要： | 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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| 关 键 词： | 脉冲控制 稳定性 同步 Lur’e系统 脉冲间隔 |
| 收稿时间： | 26 October 2002 |
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(English Edition),2004,25(3):322-328. |
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| Authors: | Sun Ji-tao Wu Qi-di |
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| Institution: | (1) Department of Applied Mathematics, Tongji University, 200092 Shanghai, P. R. China;(2) CIMS Research Center, Tongji University, 200092 Shanghai, P. R. China |
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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.
Foundation items: National 973 Program of China (2002CB312200); the National Natural Science Foundation of China (79970030, 60104004); the
Municipal Natural Science Foundation of Shanghai, China (03ZR14095)
Biography: SUN Ji-tao (1963∼), Professor, Doctor |
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| Keywords: | impulsive control stabilization synchronization Lur’ e system |
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