Dynamical analysis of Cohen-Grossberg neural networks with finite and infinite delays

DOI10.1016/j.amc.2009.03.086zbMath1175.34093OpenAlexW2017824686MaRDI QIDQ1029391

Jurang Yan, Jinxian Li, Xin-Chun Jia

Publication date: 10 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.086

zbMATH Keywords

time delayLyapunov functionalsglobal asymptotic stabilityCohen-Grossberg neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20)

Related Items (4)

Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays ⋮ Adaptive sliding-mode insensitive control of a class of non-ideal complex networked systems ⋮ Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms ⋮ Global Asymptotic Stability of a General Nonautonomous Cohen-Grossberg Model with Unbounded Amplification Functions

Cites Work

• Dynamical analysis of Cohen-Grossberg neural networks with distributed delays
• Delay differential equations: with applications in population dynamics
• Global attractivity of Cohen--Grossberg model with finite and infinite delays
• Global attraction and stability for Cohen--Grossberg neural networks with delays
• On global asymptotic stability of a class of nonlinear systems arising in neural network theory
• Stability analysis of Cohen--Grossberg neural network with both time-varying and continuously distributed delays
• Dynamic analysis of high-order Cohen-Grossberg neural networks with time delay
• Global dynamic analysis of general Cohen-Grossberg neural networks with impulse
• Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Global Attractivity in Delayed Hopfield Neural Network Models
• Neural networks and physical systems with emergent collective computational abilities.
• Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays

This page was built for publication: Dynamical analysis of Cohen-Grossberg neural networks with finite and infinite delays