@article{Wang2023, 
author = {Yidan Wang and Li Xiao and Yanfeng Guo},
title = {Finite-time stability of singular switched systems with a time-varying delay based on an event-triggered mechanism},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {1},
pages = {1901-1924},
keywords = {event-triggered mechanism singular switched systems, finite-time stabilization, time-varying delay},
url = {https://www.sciopen.com/article/10.3934/math.2023098},
doi = {10.3934/math.2023098},
abstract = {In this paper, the finite-time stability (FTS) of singular switched systems that have time-varying delays and perturbations is investigated. First, the concept of the FTS of time-varying delay singular switched systems is given, and a specific event-triggered mechanism is proposed. Then, a state feedback mechanism is proposed based on the event-triggered mechanism. Second, using the L-K function and state space decomposition, adequate criteria for the FTS of singular switched systems are found. Sufficient requirements are also presented for meeting the finite-time stable        H    ∞   performance index    γ.}
}