A survey of recent advances on stability analysis, state estimation and synchronization control for neural networks

Y Chen, N Zhang, J Yang - Neurocomputing, 2023 - Elsevier
Nowadays, neural networks have been widely applied in many fields such as pattern
recognition, signal and image processing and control theory. Over the past two decades or …

Global exponential stability of generalized recurrent neural networks with discrete and distributed delays

Y Liu, Z Wang, X Liu - Neural Networks, 2006 - Elsevier
This paper is concerned with analysis problem for the global exponential stability of a class
of recurrent neural networks (RNNs) with mixed discrete and distributed delays. We first …

Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain

M Forti, P Nistri, D Papini - IEEE Transactions on Neural …, 2005 - ieeexplore.ieee.org
This paper introduces a general class of neural networks with arbitrary constant delays in
the neuron interconnections, and neuron activations belonging to the set of discontinuous …

Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays

J Cao, K Yuan, HX Li - IEEE transactions on neural networks, 2006 - ieeexplore.ieee.org
By employing the Lyapunov-Krasovskii functional and linear matrix inequality (LMI)
approach, the problem of global asymptotical stability is studied for recurrent neural …

Impulsive delay differential inequality and stability of neural networks

D Xu, Z Yang - Journal of Mathematical Analysis and Applications, 2005 - Elsevier
In this article, a generalized model of neural networks involving time-varying delays and
impulses is considered. By establishing the delay differential inequality with impulsive initial …

[HTML][HTML] Stability analysis of Cohen–Grossberg neural network with both time-varying and continuously distributed delays

Q Song, J Cao - Journal of Computational and Applied Mathematics, 2006 - Elsevier
In this paper, the Cohen–Grossberg neural network model with both time-varying and
continuously distributed delays is considered. Without assuming both global Lipschitz …

Exponential stability of fuzzy cellular neural networks with distributed delay

T Huang - Physics letters A, 2006 - Elsevier
Stability is considered for a class of fuzzy cellular neural networks with distributed delay. The
condition for feedback kernel is minimal: the only condition required is that∫ 0τk (s) ds= 1 …

Global exponential stability of Clifford-valued recurrent neural networks

J Zhu, J Sun - Neurocomputing, 2016 - Elsevier
This paper investigates global exponential stability of a class of Clifford-valued recurrent
neural networks. By using Brouwer's fixed point theorem, the existence of the equilibrium …

Periodic solutions and its exponential stability of reaction–diffusion recurrent neural networks with continuously distributed delays

Q Song, J Cao, Z Zhao - Nonlinear analysis: Real world applications, 2006 - Elsevier
Both exponential stability and periodic oscillatory solutions are considered for reaction–
diffusion recurrent neural networks with continuously distributed delays. By constructing …

Stochastic stability for distributed delay neural networks via augmented Lyapunov–Krasovskii functionals

Y Chen, Z Wang, Y Liu, FE Alsaadi - Applied Mathematics and …, 2018 - Elsevier
This paper is concerned with the analysis problem for the globally asymptotic stability of a
class of stochastic neural networks with finite or infinite distributed delays. By using the delay …