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中文摘要：
针对脉冲控制中,时滞在脉冲采样时刻客观存在这样一种现象,研究了一类动力系统的时滞脉冲控制问题。给出了在时滞脉冲控制下,这类动力系统的原点是全局渐近稳定的一个充分条件,该条件反映了系统参数,脉冲区间和延迟时间之间的相关关系。利用所得的结论,也实现了这类系统的时滞脉冲同步。最后,以典型的分段线性系统Chua电路和非线性的混沌Chen系统为例,分别通过数值仿真实验验证了理论结论的有效性。
英文摘要：
For the impulsive control method, time delay is inevitable at the impulse instances. The stability for a class of dynamical systems with time-delayed impulses is investigated. A sufficient condition is obtained to guarantee their origins to be globally asymptotically stable, this condition reflects the relationship between the system parameters, impulse intervals and time delays. By using the derived results, the synchronization of these systems is also realized. Finally, take the classical Chua circuit and Chen chaotic system as examples, some numerical simulations are respectively given to demonstrate the effectiveness of the theoretical results.
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