An overview of recent developments in Lyapunov–Krasovskii functionals and stability criteria for recurrent neural networks with time-varying delays

XM Zhang, QL Han, X Ge, D Ding - Neurocomputing, 2018 - Elsevier
Global asymptotic stability is an important issue for wide applications of recurrent neural
networks with time-varying delays. The Lyapunov–Krasovskii functional method is a …

Stability and stabilization of TS fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

OM Kwon, MJ Park, JH Park, SM Lee - Information Sciences, 2016 - Elsevier
This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno
(TS) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii …

Stability analysis for delayed neural networks considering both conservativeness and complexity

CK Zhang, Y He, L Jiang, M Wu - IEEE Transactions on Neural …, 2015 - ieeexplore.ieee.org
This paper investigates delay-dependent stability for continuous neural networks with a time-
varying delay. This paper aims at deriving a new stability criterion, considering tradeoff …

Stability analysis of quaternion-valued neural networks: decomposition and direct approaches

Y Liu, D Zhang, J Lou, J Lu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we investigate the global stability of quaternion-valued neural networks
(QVNNs) with time-varying delays. On one hand, in order to avoid the noncommutativity of …

Global exponential stability of neural networks with time-varying delay based on free-matrix-based integral inequality

Y He, MD Ji, CK Zhang, M Wu - Neural networks, 2016 - Elsevier
This paper is concerned with global exponential stability problem for a class of neural
networks with time-varying delays. Using a new proposed inequality called free-matrix …

Stability criteria for recurrent neural networks with time-varying delay based on secondary delay partitioning method

Z Wang, L Liu, QH Shan… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
A secondary delay partitioning method is proposed to study the stability problem for a class
of recurrent neural networks (RNNs) with time-varying delay. The total interval of the time …

Further results on exponential stability of neural networks with time-varying delay

MD Ji, Y He, M Wu, CK Zhang - Applied Mathematics and Computation, 2015 - Elsevier
This paper investigates the problem of the exponential stability for a class of neural networks
with time-varying delay. A triple integral term and a term considering the delay information in …

Leader-following formation control of second-order nonlinear systems with time-varying communication delay

M Wang, T Zhang - International Journal of Control, Automation and …, 2021 - Springer
In this paper, time-varying formation tracking problem for second-order nonlinear multi-agent
systems with time-varying communication delays has been investigated, where the followers …

Stability analysis of neural networks with time-varying delay: Enhanced stability criteria and conservatism comparisons

WJ Lin, Y He, CK Zhang, M Wu - Communications in Nonlinear Science …, 2018 - Elsevier
This paper is concerned with the stability analysis of neural networks with a time-varying
delay. To assess system stability accurately, the conservatism reduction of stability criteria …

Design of H∞-based sampled-data control for fuzzy Markov jump systems with stochastic sampling

R Kavikumar, R Sakthivel, Y Liu - Nonlinear Analysis: Hybrid Systems, 2021 - Elsevier
This paper concentrates on analyzing the stability problem for fuzzy Markov jump systems
(FMJSs) via stochastic sampling and H∞-based sampled-data control scheme. With the …