Global exponential stability of high-order Hopfield-type neural networks with S-type distributed time delays

DOI10.1016/j.cnsns.2010.11.005zbMath1221.34204OpenAlexW2062124452MaRDI QIDQ551127

Yangfan Wang, Linshan Wang, Chunge Lu, Guangrong Ji

Publication date: 13 July 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.11.005

zbMATH Keywords

global exponential stabilityhigher-order Hopfield-type neural networkss-type distributed time delays

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

Stability and synchronization of a fractional neutral higher-order neural network system ⋮ Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays ⋮ LMI-based approach for exponential robust stability of high-order Hopfield neural networks with time-varying delays ⋮ Robust stability analysis of fractional-order Hopfield neural networks with parameter uncertainties ⋮ Robust exponential stability of impulsive stochastic neural networks with leakage time-varying delay ⋮ Existence and global exponential stability of periodic solution for high-order discrete-time BAM neural networks ⋮ Coexisting behaviors of a fraction-order novel hyperbolic-type memristor Hopfield neuron network based on three neurons ⋮ Slow-fast dynamics of tri-neuron Hopfield neural network with two timescales ⋮ Global exponential robust stability of high-order Hopfield neural networks with S-type distributed time delays

Cites Work

• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• Stability in asymmetric Hopfield nets with transmission delays
• Stability of Hopfield-type neural networks. II
• Stability analysis of Hopfield neural networks with time delay
• Global asymptotic stability of high-order Hopfield type neural networks with time delays
• Global stability of stochastic high-order neural networks with discrete and distributed delays
• High-order absolutely stable neural networks
• Structural properties of gradient recurrent high-order neural networks
• Associative memory design using discrete-time second-order neural networks with local interconnections
• Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays
• Neural networks and physical systems with emergent collective computational abilities.
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Global dynamics of Hopfield neural networks involving variable delays

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