An overview of finite/fixed-time control and its application in engineering systems

Y Liu, H Li, R Lu, Z Zuo, X Li - IEEE/CAA Journal of Automatica …, 2022 - ieeexplore.ieee.org
The finite/fixed-time stabilization and tracking control is currently a hot field in various
systems since the faster convergence can be obtained. By contrast to the asymptotic …

Fixed/preassigned-time synchronization of complex networks via improving fixed-time stability

C Hu, H He, H Jiang - IEEE Transactions on Cybernetics, 2020 - ieeexplore.ieee.org
This article is concerned with the problem of fixed-time (FXT) and preassigned-time (PAT)
synchronization for discontinuous dynamic networks by improving FXT stability and …

Fixed-time stabilization of discontinuous spatiotemporal neural networks with time-varying coefficients via aperiodically switching control

X Hu, L Wang, CK Zhang, X Wan, Y He - Science China Information …, 2023 - Springer
This paper focuses on the challenge of fixed-time control for spatiotemporal neural networks
(SNNs) with discontinuous activations and time-varying coefficients. A novel fixed-time …

New fixed-time stability lemmas and applications to the discontinuous fuzzy inertial neural networks

F Kong, Q Zhu, T Huang - IEEE Transactions on Fuzzy Systems, 2020 - ieeexplore.ieee.org
This article aims to analyze the fixed-time synchronization of a class of discontinuous fuzzy
inertial neural networks with time-varying delays based on the new improved fixed-time …

A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks

C Chen, L Li, H Peng, Y Yang, L Mi, H Zhao - Neural networks, 2020 - Elsevier
In this paper, we derive a new fixed-time stability theorem based on definite integral,
variable substitution and some inequality techniques. The fixed-time stability criterion and …

Robust fixed-time stability: Application to sliding-mode control

E Moulay, V Léchappé, E Bernuau… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article deals with robust fixed-time stability and stabilization. First, new global robust
fixed-time stability results are proposed for scalar systems by using constant and variable …

Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties

F Kong, Q Zhu, R Sakthivel, A Mohammadzadeh - Neurocomputing, 2021 - Elsevier
This paper aims to investigate the fixed-time synchronization analysis for discontinuous
fuzzy inertial neural networks in the presence of parameter uncertainties. By using a new …

Recent advances on dynamical behaviors of coupled neural networks with and without reaction–diffusion terms

JL Wang, SH Qiu, WZ Chen, HN Wu… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Recently, the dynamical behaviors of coupled neural networks (CNNs) with and without
reaction-diffusion terms have been widely researched due to their successful applications in …

Fixed-time synchronization of coupled neural networks with discontinuous activation and mismatched parameters

N Li, X Wu, J Feng, Y Xu, J Lü - IEEE Transactions on Neural …, 2020 - ieeexplore.ieee.org
This article is concerned with fixed-time synchronization of the nonlinearly coupled neural
networks with discontinuous activation and mismatched parameters. First, a novel lemma is …

Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy

X Li, H Wu, J Cao - Mathematics and Computers in Simulation, 2023 - Elsevier
This paper discusses the prescribed-time synchronization (PTs) issue in networks of
piecewise smooth (PWS) systems. Firstly, two new lemmas with respect to the prescribed …