Results 121 to 130 of about 438 (172)
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Stability of Cohen–Grossberg neural networks with distributed delays

Applied Mathematics and Computation, 2005
The author investigates global asymptotic stability and global exponential stability of Cohen-Grossberg neural networks and Hopfield neural networks with infinite and finite distributed delays. The existence and global stability of periodic solutions of Hopfield neural networks with distributed delays and periodic inputs are achieved by using the ...
Lin Wang
exaly   +3 more sources

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

Neural Networks, 2007
In this paper, we investigate the existence and stability of the equilibrium point of Cohen-Grossberg neural networks with time-varying delays. Under easily verified conditions, exponential stability is obtained when the delay is finite, while asymptotic stability is obtained when the delay is infinite. Moreover, the stability obtained is robust.
Tingwen Huang, Jinde Cao
exaly   +3 more sources

Delay-independent stability analysis of Cohen–Grossberg neural networks

Physics Letters, Section A: General, Atomic and Solid State Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tianping Chen, Libin Rong
exaly   +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 0018, Xingfu Zou
openaire   +2 more sources

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
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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.
Dequan Jin, Zhili Huang, Jigen Peng
openaire   +2 more sources

New Results on Impulsive Cohen–Grossberg Neural Networks

Neural Processing Letters, 2018
This paper is concerned with an impulsive Cohen–Grossberg neural networks with mixed delays. Under proper conditions, we studied the existence, the uniqueness and the global exponential stability of asymptotic almost automorphic solutions for the suggested system. Our method was mainly based on the Banach’s fixed point theorem, the generalized Gronwall–
Chaouki Aouiti, Farah Dridi
openaire   +1 more source

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   +2 more
openaire   +2 more sources

Exponential stability of Cohen–Grossberg neural networks with delays

Communications in Nonlinear Science and Numerical Simulation, 2008
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Liao, Xiaofeng   +2 more
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