Exponential stability of Hopfield neural networks with impulses

DOI10.1016/j.nonrwa.2010.12.008zbMath1220.34061OpenAlexW2077061458MaRDI QIDQ546139

Benedetta Lisena

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.12.008

zbMATH Keywords

exponential stabilityperiodic solutionHopfield networks

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)

Related Items (9)

Global exponential stability of high-order Hopfield neural networks with state-dependent impulses ⋮ Asymptotic properties in a delay differential inequality with periodic coefficients ⋮ Average criteria for periodic neural networks with delay ⋮ Global exponential stability for DCNNs with impulses on time scales ⋮ Function projective synchronization of impulsive neural networks with mixed time-varying delays ⋮ Dynamical behavior of impulsive and periodic Cohen-Grossberg neural networks ⋮ Existence and exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with time-varying delays ⋮ Improved results on adaptive control approach for projective synchronization of neural networks with time-varying delay ⋮ General decay synchronization of delayed BAM neural networks via nonlinear feedback control

Cites Work

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• Periodic solutions of nonautonomous cellular neural networks with impulses and delays
• Stability and periodicity in competitive systems with impulses
• Stability of artificial neural networks with impulses
• On stability of delayed cellular neural networks
• Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses
• Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses
• Periodic solutions of nonautonomous cellular neural networks with impulses
• Exponential stability of impulsive neural networks with time-varying delays
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