| 随机脉冲控制下超混沌复Lü系统的渐近稳定性 |
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| 引用本文： | 黄冬梅,徐伟,王亮. 随机脉冲控制下超混沌复Lü系统的渐近稳定性[J]. 动力学与控制学报, 2013, 11(4): 289-294 |
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| 作者姓名： | 黄冬梅 徐伟 王亮 |
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| 作者单位： | 西北工业大学理学院应用数学系,西安 710072;西北工业大学理学院应用数学系,西安 710072;西北工业大学理学院应用数学系,西安 710072 |
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| 基金项目： | 国家自然科学基金资助项目(11172233,10932009)、西北工业大学基础研究基金资助项目（JC20110228） |
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| 摘 要： | 基于脉冲微分方程的稳定性理论,研究了具有随机信号的脉冲作用下,超混沌复Lü系统的渐近稳定性.给出了确定性和随机脉冲作用下系统达到渐近稳定的判据.并且提出了在等距脉冲间隔下,系统达到稳定的区域估计值.通过数值算例,讨论了确定性脉冲和随机脉冲的异同点,并证实,此方法对于外界噪声是比较稳健的.
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| 关 键 词： | 稳定性 脉冲控制 超混沌复Lü系统 噪声 |
STOCHASTIC IMPULSIVE CONTROL FOR THE ASYMPTOTIC STABILIZATION OF HYPERCHAOTIC COMPLEX L（U） SYSTEM |
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| Huang Dongmei,Xu Wei and Wang Liang. STOCHASTIC IMPULSIVE CONTROL FOR THE ASYMPTOTIC STABILIZATION OF HYPERCHAOTIC COMPLEX L（U） SYSTEM[J]. Journal of Dynamics and Control, 2013, 11(4): 289-294 |
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| Authors: | Huang Dongmei Xu Wei Wang Liang |
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| Affiliation: | (Department of Applied Mathematics, Northwestern Polytechnical University, Xi＇an 710072, China) |
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| Abstract: | Based on the theory of impulsive differential equations, this paper studied the asymptotic stability of hyperchaotic complex Lü system under the stochastic impulsive signal. Some criteria were derived for the stabilization of the complex system via an impulsive method. And we also presented the estimate of the stable regions for the equal impulsive intervals. Numerical simulations demonstrated the effectiveness of the theoretical results and also showed that the method was robust against the noise. |
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| Keywords: | stability impulsive control hyperchaotic complex Lu system noise |
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