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 asymptotic stability of a general class of recurrent neural networks with time-varying delays

J Cao, J Wang - IEEE Transactions on Circuits and Systems I …, 2003 - ieeexplore.ieee.org
In this paper, the existence and uniqueness of the equilibrium point and its global asymptotic
stability are discussed for a general class of recurrent neural networks with time-varying …

Global asymptotic and robust stability of recurrent neural networks with time delays

J Cao, J Wang - IEEE Transactions on Circuits and Systems I …, 2005 - ieeexplore.ieee.org
In this paper, two related problems, global asymptotic stability (GAS) and global robust
stability (GRS) of neural networks with time delays, are studied. First, GAS of delayed neural …

Exponential stability of continuous-time and discrete-time cellular neural networks with delays

S Mohamad, K Gopalsamy - Applied Mathematics and Computation, 2003 - Elsevier
Convergence characteristics of continuous-time cellular neural networks with discrete
delays are studied. By using Lyapunov functionals, we obtain delay independent sufficient …

Chaotic attractors in delayed neural networks

H Lu - Physics Letters A, 2002 - Elsevier
This Letter investigates the complex dynamical behavior of delayed neural networks with
two neurons with the help of computer simulations. It has been shown that such networks …

Stability analysis for neural networks with time-varying delay based on quadratic convex combination

H Zhang, F Yang, X Liu, Q Zhang - IEEE transactions on neural …, 2013 - ieeexplore.ieee.org
In this paper, a novel method is developed for the stability problem of a class of neural
networks with time-varying delay. New delay-dependent stability criteria in terms of linear …

Exponential stability and periodic oscillatory solution in BAM networks with delays

J Cao, L Wang - IEEE Transactions on Neural Networks, 2002 - ieeexplore.ieee.org
Both exponential stability and periodic oscillatory solution of bidirectional associative
memory (BAM) networks with axonal signal transmission delays are considered by …

Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays

Y Song, M Han, J Wei - Physica D: Nonlinear Phenomena, 2005 - Elsevier
A delay-differential equation modelling a bidirectional associative memory (BAM) neural
network with three neurons is investigated. Its dynamics are studied in terms of local …

Global exponential stability of delayed Hopfield neural networks

T Chen - Neural Networks, 2001 - Elsevier
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Global exponential stability and periodicity of recurrent neural networks with time delays

J Cao, J Wang - IEEE Transactions on Circuits and Systems I …, 2005 - ieeexplore.ieee.org
In this paper, the global exponential stability and periodicity of a class of recurrent neural
networks with time delays are addressed by using Lyapunov functional method and …