Invariant and attracting set of fuzzy cellular neural networks with variable delays

DOI10.1016/j.aml.2008.06.019zbMath1225.34085OpenAlexW1975348549MaRDI QIDQ1021867

Yu-Mei Huang, Wei Zhu, Dao Yi Xu

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.019

zbMATH Keywords

invariant setdifferential inequalityfuzzy cellular neural networksvariable delaysattracting set

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Invariant manifolds of functional-differential equations (34K19) Fuzzy functional-differential equations (34K36)

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Attracting and invariant sets of nonlinear neutral differential equations with delays ⋮ Robust stability of nonlinear diffusion fuzzy neural networks with parameter uncertainties and time delays ⋮ Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays ⋮ Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays ⋮ Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations ⋮ Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays ⋮ Global robust exponential dissipativity for interval recurrent neural networks with infinity distributed delays ⋮ Lagrange exponential stability for fuzzy Cohen-Grossberg neural networks with time-varying delays ⋮ Finite-time synchronization for fuzzy neutral-type inertial neural networks with time-varying coefficients and proportional delays

Cites Work

• Positively invariant sets for functional differential equations with infinite delay
• Positively invariant closed sets for systems of delay-differential equations
• Invariant and attracting sets of Volterra difference equations with delays
• Invariant set and attractivity of nonlinear differential equations with delays
• Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
• Matrix Analysis
• Cellular neural networks: theory
• Advances in Neural Networks – ISNN 2005
• Invariant set and stable region of a class of partial differential equations with time delays