当前位置: X-MOL 学术Automatica › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Time-delay systems with delayed impulses: A unified criterion on asymptotic stability
Automatica ( IF 6.4 ) Pub Date : 2021-01-04 , DOI: 10.1016/j.automatica.2020.109470
Kexue Zhang , Elena Braverman

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.



中文翻译:

具有延迟脉冲的时滞系统:渐近稳定性的统一准则

本文通过Lyapunov–Krasovskii方法处理了具有时滞相关脉冲的一般非线性时滞系统的全局渐近稳定性。我们得出一个统一的稳定性标准,该标准可以应用于各种脉冲系统。研究了每个连续动力学和脉冲分量稳定或不稳定的情况。从理论上和数值上,我们证明所获得的结果比文献中已有的结果更为普遍。

更新日期:2021-01-05
down
wechat
bug