Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays

Authors:
Hongyong Zhao
Affiliations:
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Venue:
Neurocomputing
Year:
2006

Citing 7
Cited 13

Bidirectional associative memories

IEEE Transactions on Systems, Man and Cybernetics
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks

Physica D
Exponential stability of delayed bi-directional associative memory networks

Applied Mathematics and Computation
Existence and stability of almost periodic solution for BAM neural networks with delays

Applied Mathematics and Computation
Global stability of neural network with distributed delays

Neural, Parallel & Scientific Computations
Global asymptotic stability of Hopfield neural network involving distributed delays

Neural Networks
Exponential stability and periodic oscillatory solution in BAM networks with delays

IEEE Transactions on Neural Networks

Letters: Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms

Neurocomputing
Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses

Neurocomputing
Robust exponential stability analysis of neural networks with multiple time delays

Neurocomputing
Periodic oscillation of discrete-time bidirectional associative memory neural networks

Neurocomputing
Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays

Neurocomputing
Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays

Neurocomputing
Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach

Neurocomputing
Delay-Dependent Global Asymptotic Stability in Neutral-Type Delayed Neural Networks with Reaction-Diffusion Terms

ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
New delay-dependent exponential stability criteria of BAM neural networks with time delays

Mathematics and Computers in Simulation
Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

Mathematics and Computers in Simulation
Some multistability properties of bidirectional associative memory recurrent neural networks with unsaturating piecewise linear transfer functions

Neurocomputing
Original article: LMI criteria on exponential stability of BAM neural networks with both time-varying delays and general activation functions

Mathematics and Computers in Simulation
Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

International Journal of Applied Mathematics and Computer Science

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, bidirectional associative memory (BAM) neural network with delays is considered. By employing the inequality b"m"+"1@?"k"="1^mb"k^q^"^k==0,b"k=0,q"k0 with 1+@?"k"="1^mq"k=r,k=1,...,m), applying homotopic mapping and constructing a new Lyapunov functional method, we present some new criteria ensuring globally exponential stability and the existence of periodic oscillatory solution. These results are helpful to design globally exponential stability and periodic oscillatory for BAM neural network with delays.