Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations

DOI10.1007/s11071-014-1392-3zbMath1331.34144OpenAlexW1984156958MaRDI QIDQ2353869

Lian Duan, Zhenyuan Guo, Li-Hong Huang

Publication date: 9 July 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1392-3

zbMATH Keywords

almost periodic solutionglobal exponential stabilitydiscontinuous activationhigh-order Hopfield neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Discontinuous ordinary differential equations (34A36) Simulation of dynamical systems (37M05)

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Cites Work

• Unnamed Item
• Unnamed Item
• State estimation of neural networks with time-varying delays and Markovian jumping parameter based on passivity theory
• Almost periodic solution of a non-autonomous model of phytoplankton allelopathy
• Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions
• Existence and stability of almost periodic solutions in impulsive neural network models
• Exponential stability of high-order bidirectional associative memory neural networks with time delays
• Leakage delays in BAM
• Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
• Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays
• Almost periodic differential equations
• Almost periodicity for a class of delayed Cohen-Grossberg neural networks with discontinuous activations
• Global exponential stability of almost periodic solution of delayed neural networks with discontinuous activations
• Nonsmooth finite-time stabilization of neural networks with discontinuous activations
• Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays
• Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients
• Dynamic analysis of high-order Cohen-Grossberg neural networks with time delay
• Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
• High-order absolutely stable neural networks
• Global convergence of neural networks with discontinuous neuron activations
• Almost Periodic Dynamics of a Class of Delayed Neural Networks with Discontinuous Activations
• Dynamical Behaviors of Delayed Neural Network Systems with Discontinuous Activation Functions
• Set-valued analysis

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