Existence and global exponential stability of periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks with delays and impulses

Authors:
Xinsong Yang
Affiliations:
Department of Mathematics, Southeast University, Nanjing 210096, China and Department of Mathematics, Honghe University Mengzi, Yunnan 661100, China
Venue:
Neurocomputing
Year:
2009

Citing 4
Cited 9

Stability of Cohen-Grossberg neural networks with time-varying delays

Neural Networks
Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

Mathematics and Computers in Simulation
Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global Asymptotical Stability of Recurrent Neural Networks With Multiple Discrete Delays and Distributed Delays

IEEE Transactions on Neural Networks

Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects

Neurocomputing
Existence and global attractivity of almost periodic solutions for delayed high-ordered neural networks

Neurocomputing
Dynamical behavior of a class of nonsmooth gradient-like systems

Neurocomputing
The existence of exponential periodic attractor of impulsive BAM neural network with periodic coefficients and distributed delays

Neurocomputing
Global exponential stability in Lagrange sense for periodic neural networks with various activation functions

Neurocomputing
Existence of periodic solutions for a class of Cohen-Grossberg type neural networks with neutral delays

Neurocomputing
Stability and attractive basin of delayed cohen-grossberg neural networks

ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Existence of exponential periodic attractor of BAM neural networks with time-varying delays and impulses

Neurocomputing
Anti-periodic solutions for cohen-grossberg neural networks with varying-time delays and impulses

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I

Quantified Score

Hi-index	0.01

Visualization

Abstract

By using Schaeffer's theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several sufficient conditions are obtained for the existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg shunting inhibitory cellular neural networks with delays. The results of this paper are completely new and complement and improve some of the previously known results. An example is employed to illustrate our feasible results.