[1]胡茂萍.一类混沌系统的变时刻脉冲控制与同步[J].延边大学学报(自然科学版),2021,47(01):32-35,87.
　HU Maoping.Time varying impulsive control and synchronization for a class of chaotic systems[J].Journal of Yanbian University,2021,47(01):32-35,87.
点击复制

一类混沌系统的变时刻脉冲控制与同步

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第47卷 期数: 2021年01期 页码: 32-35,87 栏目: 基础科学研究 出版日期: 2021-04-20
Title:
Time varying impulsive control and synchronization for a class of chaotic systems
文章编号:
1004-4353(2021)01-0032-05
作者:
胡茂萍
( 重庆师范大学 数学科学学院, 重庆 401331 )
Author(s):
HU Maoping
(School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)
关键词:
混沌系统;  脉冲控制与同步;  脉冲时窗;  脉冲鲁棒同步
Keywords:
chaotic systems;  impulsive control and synchronization;  impulse time windows;  impulsive robust synchronization
分类号:
O175
文献标志码:
A
摘要:
为了探讨混沌系统在变时刻脉冲控制下的行为,研究了有脉冲时窗混沌系统的稳定和同步问题.首先利用数学归纳法探讨了一类有脉冲时窗混沌系统的稳定性问题,得到了该混沌系统稳定的充分条件; 其次对存在扰动的主从系统的鲁棒同步问题进行了分析,得到了具有脉冲时窗误差系统稳定的充分条件; 最后利用数值分析证明了所得结论的有效性.
Abstract:
In order to study the behavior of chaotic systems under time -varying impulsive control, the stability and synchronization of chaotic systems with impulse time windows are studied. Firstly, the stability of a class of chaotic systems with impulse time windows is discussed by mathematical induction, sufficient conditions for the stability of chaotic systems are obtained. Secondly, the robust synchronization of master -slave systems with disturbance is analyzed, sufficient conditions for the stabilization of error systems with impulse time windows are obtained. Finally, the validity of the conclusions is proved by numerical analysis.

参考文献/References:

[1] YANG X S, CAO J D, LONG Y, et al. Adaptive lag synchronization for competitive neural networks with mixed delays and uncertain hybrid perturbations[J]. IEEE Transactions on Neural Networks, 2010,21(10):1656-1666.
[2] ZHANG Q J. Robust synchronization of FitzHugh -Nagumo network with parameter disturbances by sliding mode control[J]. Chaos, Solitons, Fractals, 2014,58:22-26.
[3] SUN J T, ZHANG Y P, WU Q D. Less conservative conditions for asymptotic stability of impulsive control systems[J]. IEEE Trans Automatic Contr, 2003,48(5):829-831.
[4] YANG T, YANG L B, YANG C M. Impulsive synchronization of Lorenz systems[J]. Phys Lett A, 1997,226(6):349-354.
[5] 罗润梓.一个新混沌系统的脉冲控制与同步[J].物理学报,2007,56(10):5655-5660.
[6] ZHAO Y H, YANG Y Q. The impulsive control synchronization of the drive -response complex system[J]. Physics Letters A, 2008,372(48):7165-7171.
[7] LIU G M, DING W. Impulsive synchronization for a chaotic system with channel time delay[J]. Commun Nonlinear Sci Numer Simulat, 2011,16(2):958-965.
[8] SUN J T, WU Q D. Impulsive control for the stabilization and synchronization of Lure systems[J]. Applied Mathematics and Mechanics, 2004,25(3):291-296.
[9] CHEN F L, WANG H, LI C D. Impulsive control of memristive chaotic systems with impulsive time window[J]. Mathematical Problems in Engineering, 2015,2015:1-7.
[10] XIONG Z L, ZHANG Z L, MA T D. Variable impulsive synchronization of memristor -based chaotic systems with actuator saturation[J]. IEEE Access, 2019,7:185839-185848.
[11] 徐昌彪,郭桃桃,钟德,等.一个新的统一混沌系统及其同步控制[J].重庆邮电大学学报(自然科学版),2020,32(4):611-619.

相似文献/References:

[1]董齐,徐红梅.蔡氏电路的非线性动力学探析[J].延边大学学报(自然科学版),2024,(02):8.
　DONG Qi,XU Hongmei.Nonlinear dynamic analysis of Chua circuit[J].Journal of Yanbian University,2024,(01):8.

备注/Memo

收稿日期: 2020-12-26
基金项目: 重庆市研究生科研创新项目(CYS19322)
作者简介: 胡茂萍(1997—),女,硕士研究生,研究方向为混沌系统的控制与同步.

更新日期/Last Update: 2021-04-20