On periodic solutions of neural networks via differential inclusions

DOI10.1016/j.neunet.2008.11.003zbMath1335.93058OpenAlexW1973273445WikidataQ51857730 ScholiaQ51857730MaRDI QIDQ280324

Xiaoyang Liu, Cao, Jinde

Publication date: 10 May 2016

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2008.11.003

zbMATH Keywords

differential inclusionsperiodic solutionsneural networkslinear matrix inequalityLyapunov methoddiscontinuous activation functions

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

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• Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions
• Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
• Multistability of neural networks with discontinuous activation function
• Exponential synchronization of stochastic delayed discrete-time complex networks
• Robust stability for stochastic Hopfield neural networks with time delays
• Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations
• Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations
• Stability analysis for periodic solution of neural networks with discontinuous neuron activations
• Ordinary differential equations with nonlinear boundary conditions
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Dynamics of periodic delayed neural networks
• Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
• Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach
• On synchronization of coupled neural networks with discrete and unbounded distributed delays
• Matrix Analysis
• A set of stability criteria for delayed cellular neural networks
• Existence and global exponential stability of periodic solution for bam neural networks with periodic coefficients and time-varying delays
• Global convergence of neural networks with discontinuous neuron activations
• Discontinuous dynamical systems
• 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
• Stability of stochastic delay neural networks