Finite-time stability of singular switched systems with a time-varying delay based on an event-triggered mechanism

AIMS Mathematics

article

Yidan Wang¹  Li Xiao¹  Yanfeng Guo¹ 

[1] Department of Mathematics and Physics, China University of Geosciences

关键词: event-triggered mechanism singular switched systems;    finite-time stabilization;    time-varying delay;   

DOI  :  10.3934/math.2023098

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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_\infty $ performance index $ \gamma $.

【 授权许可】

CC BY