@article{Fu2025, 
author = {Zhi Fu and Shen-Ping Xiao and Jiang-Lin Huang and Chang-Xin Li},
title = {Improved accumulative-error event-triggered control for discrete-time linear systems with random time delays},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {22561-22578},
keywords = {discrete-time linear systems, event-triggered control, Markov chain, free-weight matrix method, co-designing control},
url = {https://www.sciopen.com/article/10.3934/math.20251004},
doi = {10.3934/math.20251004},
abstract = {A stability problem under event-triggered control for discrete linear systems with random time delays is considered in this paper. First, this paper improves an accumulative error-based event-triggered approach, which can switch the event-triggered parameter between the two-modes over time. Second, a new closed-loop discrete Markov switching system equation is derived by decoupling the accumulative error term, and the time delays are equal to the current Markov modes when the event-triggered scheme is met. Third, the co-designing problems for control gains and event-triggered parameters in the system are solved. Finally, the stochastic stability of the system is guaranteed through random analysis techniques and a free-weighting matrix method, and the effectiveness of the approach is demonstrated by using numerical examples.}
}