| 摘要: |
| 研究了一个比较典型的混沌系统——Lorens系统，并通过含有脉冲的微分方程稳定性理论和脉冲控制方法，得到了Lorens系统稳定到零点的一个充分条件；考虑了两个Lorens系统的同步性问题，从而得到了与之相关的稳定性定理；通过数值模拟验证了利用脉冲控制方法研究Lorens系统的有效性。 |
| 关键词: Lorens 系统 脉冲控制 平衡点 同步 |
| DOI： |
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| Impulsive Control and Synchronization of Lorens System |
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GAO Jing xia
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| Abstract: |
| This paper studies a typical chaotic system—Lorens system, through the stability theory with the impulsive differential equation and impulsive control method, obtains a sufficient condition that Lorens system is stabilized to the equilibrium point, considers the synchronization problems of two Lorens systems, gets the related stability theory and finally uses numerical simulation to test the effectiveness by using impulsive control method to study Lorens system. |
| Key words: Lorens system impulsive control equilibrium point synchronization |
