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.
一类混沌系统的变时刻脉冲控制与同步
- Title:
- Time varying impulsive control and synchronization for a class of chaotic systems
- 文章编号:
- 1004-4353(2021)01-0032-05
- 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.
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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.