Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays

DOI10.1186/1687-1847-2013-162zbMath1393.34074OpenAlexW2136188524WikidataQ59301285 ScholiaQ59301285MaRDI QIDQ1648764

Aiping Zhang

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-162

zbMATH Keywords

exponential stabilityanti-periodic solutiontime-varying delayleakage termhigh-order cellular neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

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Anti-periodic oscillations of bidirectional associative memory (BAM) neural networks with leakage delays ⋮ Pseudo almost periodic solutions for HCNNs with time-varying leakage delays ⋮ Existence and exponential stability of anti-periodic solutions for interval general bidirectional associative memory neural networks with multiple delays ⋮ Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms ⋮ Convergence of neutral type proportional-delayed HCNNs with D operators ⋮ Global exponential stability of antiperiodic solution for impulsive high-order Hopfield neural networks ⋮ Antiperiodic solutions for a kind of nonlinear Duffing equations with a deviating argument and time-varying delay ⋮ EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES ⋮ Anti-periodic solutions for high-order cellular neural networks with mixed delays and impulses ⋮ Anti-periodic solutions in a ring of four neurons with multiple delays ⋮ On anti-periodic solutions of a shunting inhibitory cellular neural networks with distributed delays

Cites Work

• Unnamed Item
• Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays
• Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control
• Existence and exponential stability of anti-periodic solutions of high-order Hopfield neural networks with delays on time scales
• Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays
• Leakage delays in BAM
• Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
• Functional differential equations with infinite delay
• Exponential convergence for cellular neural networks with time-varying delays in the leakage terms
• Global exponential stability for BAM neural networks with time-varying delays in the leakage terms
• Anti-periodic solutions for high-order Hopfield neural networks
• High-order absolutely stable neural networks
• Delay-dependent stability of neural networks of neutral type with time delay in the leakage term