Delay decomposition approach to stability analysis for uncertain fuzzy Hopfield neural networks with time-varying delay

DOI10.1016/j.cnsns.2010.08.019zbMath1221.34214OpenAlexW2007024868MaRDI QIDQ718517

D. Kharzeev

Publication date: 23 September 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.2010.08.019

zbMATH Keywords

Hopfield neural networkstime-varying delaysdelay decompositionT-S fuzzy modelmaximum admissible upper bound (MAUB)

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Fuzzy functional-differential equations (34K36)

Related Items (7)

Robust stability analysis of Takagi-Sugeno fuzzy nonlinear singular systems with time-varying delays using delay decomposition approach ⋮ Dissipativity and passivity analysis of T-S fuzzy neural networks with probabilistic time-varying delays: a quadratic convex combination approach ⋮ New robust exponential stability results for discrete-time switched fuzzy neural networks with time delays ⋮ Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks ⋮ Stochastic sampled-data control for state estimation of time-varying delayed neural networks ⋮ Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies ⋮ Asymptotic Stability Criterion for Fuzzy Recurrent Neural Networks with Interval Time-Varying Delay

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Global exponential stability of uncertain fuzzy BAM neural networks with time-varying delays
• Stability analysis of uncertain fuzzy Hopfield neural networks with time delays
• Periodic oscillation of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients
• Exponential stability of fuzzy cellular neural networks with distributed delay
• Delay-dependent robust stability for uncertain stochastic fuzzy Hopfield neural networks with time-varying delays
• Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses
• Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
• New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay
• Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
• Delay-dependent LMI conditions for stability and stabilization of T-S fuzzy systems with bounded time-delay
• A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays
• Fuzzy identification of systems and its applications to modeling and control
• A set of stability criteria for delayed cellular neural networks
• Output feedback H_∞ control of systems with parameter uncertainty
• Neural networks and physical systems with emergent collective computational abilities.
• A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices

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