论文标题

延迟冲动的时间延迟系统:渐近稳定性的统一标准

Time-delay systems with delayed impulses: A unified criterion on asymptotic stability

论文作者

Zhang, Kexue, Braverman, Elena

论文摘要

本文介绍了通过Lyapunov-Krasovskii方法具有延迟依赖性冲动的一般非线性时间延迟系统的全球渐近稳定性。我们得出一个统一的稳定标准,可以应用于各种冲动系统。研究每个连续动力学和冲动成分的情况都稳定或不稳定。从理论上讲,我们证明所获得的结果比文献中存在的结果更笼统。

The paper deals with the global asymptotic stability of general nonlinear time-delay systems with delay-dependent impulses through the Lyapunov-Krasovskii method. We derive a unified stability criterion which can be applied to a variety of impulsive systems. The cases when each of the continuous dynamics and the impulsive component is either stabilizing or destabilizing are investigated. Both theoretically and numerically, we demonstrate that the obtained result is more general than those existing in the literature.

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