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| IMPULSIVE CONTROL OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS | |
| 作者姓名： | 马军海 任彪 陈予恕 |
| 作者单位： | [1]ManagementSchool,TianjinUniversity,Tianjin300072,P.R.China [2]DepartmentofMechanics,TianjinUniversity,Tianjin300072,P.R.China |
| 基金项目： | theNationalNaturalScienceFoundationofChina (1 9990 1 50 ,70 2 71 0 71 ) |
| 摘 要： | Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented. By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, andwith it, the upper bond of the impulse interval for asymptotically stable control was given.Numerical results are presented, which are considered with important reference value for control of chaotic attractors. |
| 关 键 词： | 冲击控制 混沌吸引子 渐近稳定性 混沌物理 周期轨道 |
| 收稿时间： | 25 October 2002 |
Impulsive control of chaotic attractors in nonlinear chaotic systems |
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| Ma?Jun-hai,Ren?Biao,Chen?Yu-shu.IMPULSIVE CONTROL OF CHAOTIC ATTRACTORS IN NONLINEAR CHAOTIC SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2004,25(9):971-976. | |
| Authors: | Ma Jun-hai Ren Biao Chen Yu-shu |
| Institution: | 1. Management School,Tianjin University, Tianjin 300072, P.R.China; Tianjin University of Finance and Economics, Tianjin 300222, P.R.China 2. Management School,Tianjin University, Tianjin 300072, P.R.China 3. Department of Mechanics, Tianjin University, Tianjin 300072, P.R.China |
| Abstract: | Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented.By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, and with it, the upper bond of the impulse interval for asymptotically stable control was given. Numerical results are presented, which are considered with important reference value for control of chaotic attractors. |
| Keywords: | impulsive control chaotic attractor chaos asymptotically stable |
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