Exponential stability of discrete-time Hopfield neural networks

DOI10.1016/S0898-1221(04)90119-8zbMath1075.34070OpenAlexW1964055056MaRDI QIDQ1767842

Shangjiang Guo, Lin Wang, Li-Hong Huang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90119-8

zbMATH Keywords

equilibriumglobal exponential stabilityexponential convergence ratediscrete-time Hopfield neural networkslocal exponential stability

Mathematics Subject Classification ID

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

Related Items (14)

Existence and global exponential stability of periodic solution of a cellular neural networks difference equation with delays and impulses ⋮ Configurations of steady states for Hopfield-type neural networks ⋮ Improved global exponential stability for delay difference equations with impulses ⋮ Symmetry discrete-time delayed neural network ⋮ Bifurcation analysis for a two-dimensional discrete-time Hopfield neural network with delays ⋮ Bifurcation analysis for a two-dimensional delayed discrete-time hopfield neural network ⋮ Global exponential stability of impulsive delay difference equation ⋮ Existence of periodic solution for discrete-time cellular neural networks with complex deviating arguments and impulses ⋮ Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays ⋮ Global exponential stability of impulsive discrete-time neural networks with time-varying delays ⋮ Bifurcation analysis for a discrete-time Hopfield neural network of two neurons with two delays and self-connections ⋮ Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture ⋮ Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model ⋮ Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections

Cites Work

• Hopf bifurcating periodic orbits in a ring of neurons with delays
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Exponential stability and periodic solutions of delayed cellular neural networks
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