Results 171 to 180 of about 4,381 (217)

Stability Analysis of Cohen–Grossberg Neural Networks

IEEE Transactions on Neural Networks, 2006
Without assuming boundedness and differentiability of the activation functions and any symmetry of interconnections, we employ Lyapunov functions to establish some sufficient conditions ensuring existence, uniqueness, global asymptotic stability, and even global exponential stability of equilibria for the Cohen-Grossberg neural networks with and ...
Shangjiang, Guo, Lihong, Huang
openaire   +2 more sources

Harmless delays in Cohen–Grossberg neural networks

Physica D: Nonlinear Phenomena, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Lin, Zou, Xingfu
openaire   +2 more sources

Exponential stability of Cohen–Grossberg neural networks

Neural Networks, 2002
Exponential stabilities of the Cohen-Grossberg neural network with and without delays are analyzed. By Liapunov functions/functionals, sufficient conditions are obtained for general exponential stability, while by using a comparison result from the theory of monotone dynamical systems, componentwise exponential stability is also discussed.
Lin, Wang, Xingfu, Zou
openaire   +2 more sources

Stabilization of delayed Cohen‐Grossberg BAM neural networks

Mathematical Methods in the Applied Sciences, 2017
This paper deals with finite‐time stabilization results of delayed Cohen‐Grossberg BAM neural networks under suitable control schemes. We propose a state‐feedback controller together with an adaptive‐feedback controller to stabilize the system of delayed Cohen‐Grossberg BAM neural networks.
Rajivganthi Chinnathambi, Fathalla A. Rihan, Lakshmanan Shanmugam   +2 more
openaire   +2 more sources

Stability analysis of quaternion‐valued Cohen‐Grossberg neural networks

Mathematical Methods in the Applied Sciences, 2019
In this paper, by starting from basic quaternion algebra properties and algorithms, a quaternion‐valued Cohen‐Grossberg neural network was derived, subsequently, several new sufficient conditions are derived to ensure existence and global asymptotic stability (GAS) and global exponential stability (GES) of the equilibrium point (EP) for quaternion ...
Ruoxia Li, Xingbao Gao, Jinde Cao, Kai Zhang   +3 more
openaire   +2 more sources

Global asymptotic stability of delayed Cohen–Grossberg neural networks

Chaos, Solitons & Fractals, 2007
The authors consider a class of Cohen-Grossberg neural networks given by the delayed dynamical system \[ {dx_i(t)\over dt}= -a_i(x_i(t))\Biggl[b_i(x_i(t))- \sum^n_{j=1} a_{ij} f_j(x_j(t))- \sum^n_{j=1} a^\tau_{ij} f_j(x_j(t- \tau_j(t)))+ I_i\Biggr], \] \(i= 1,2,\dots, n\), where \(A= (a_{ij})_{n\times n}\) and \(A^\tau= (a^\tau_{ij})_{n\times n}\) are ...
Wu, Wei, Cui, Bao Tong, Huang, Min
openaire   +1 more source

Approximation on attraction domain of Cohen–Grossberg neural networks

Applied Mathematics and Computation, 2011
The authors study the approximations of attraction domains of asymptotically stable equilibrium points of some typical Cohen-Grossberg neural networks. Numerical experiments are also performed to confirm the theoretical results.
Jin, Dequan, Huang, Zhili, Peng, Jigen
openaire   +2 more sources

Exponential stability of Cohen–Grossberg neural networks with delays

Communications in Nonlinear Science and Numerical Simulation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liao, Xiaofeng, Yang, Jiyun, Guo, Songtao   +2 more
openaire   +2 more sources

Global attractivity in delayed Cohen–Grossberg neural network models

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Chun-Hsien, Yang, Suh-Yuh
openaire   +1 more source

New Conditions on Global Stability of Cohen-Grossberg Neural Networks

Neural Computation, 2003
In this letter, we discuss the dynamics of the Cohen-Grossberg neural networks. We provide a new and relaxed set of sufficient conditions for the Cohen-Grossberg networks to be absolutely stable and exponentially stable globally. We also provide an estimate of the rate of convergence.
Lu, Wenlian, Chen, Tianping
openaire   +2 more sources