Time-delay systems with delayed impulses: A unified criterion on asymptotic stability
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Publication:6401415
DOI10.1016/J.AUTOMATICA.2020.109470zbMATH Open1461.93422arXiv2206.03631MaRDI QIDQ6401415
Publication date: 7 June 2022
Abstract: 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.
Asymptotic stability in control theory (93D20) Delay control/observation systems (93C43) Impulsive control/observation systems (93C27)
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