Exponential convergence for cellular neural networks with time-varying delays in the leakage terms

DOI10.1155/2012/941063zbMath1253.93092OpenAlexW2073098494WikidataQ58697133 ScholiaQ58697133MaRDI QIDQ1925463

Zhibin Chen, Junxia Meng

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/941063

zbMATH Keywords

cellular neural networksLyapunov functional methoddifferential inequality techniquesleakage term

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)

Related Items (4)

New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks ⋮ Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays ⋮ Periodic solution for impulsive cellar neural networks with time-varying delays in the leakage terms ⋮ Exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays

Cites Work

• Exponential convergence for a class of delayed cellular neural networks with time-varying coefficients
• Exponential convergence for high-order recurrent neural networks with a class of general activation functions
• Leakage delays in BAM
• Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions
• Global exponential stability for BAM neural networks with time-varying delays in the leakage terms
• Novel delay-dependent robust stability criterion of delayed cellular neural networks
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY

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