Impulsive control for a class of neural networks with bounded and unbounded delays

DOI10.1016/j.amc.2010.01.059zbMath1194.93192OpenAlexW2018281358MaRDI QIDQ961584

Rajcho Ilarionov, Rositsa Vaneva, Ivanka M. Stamova

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.059

zbMATH Keywords

impulsesneural networksLyapunov methoddelaysglobal exponential stability

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic stability in control theory (93D20) Control problems involving ordinary differential equations (34H05)

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New results for periodic solution of high-order BAM neural networks with continuously distributed delays and impulses, \(P\)th moment exponential stability of impulsive stochastic neural networks with mixed delays, Global Exponential Stability of Cohen-Grossberg Neural Networks with Piecewise Constant Argument of Generalized Type and Impulses, New results concerning the exponential stability of delayed neural networks with impulses, Global power stability of neural networks with impulses and proportional delays, Stability analysis of Markovian jumping impulsive stochastic delayed RDCGNNs with partially known transition probabilities, Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

Cites Work

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• Global exponential stability for impulsive cellular neural networks with time-varying delays
• Existence of almost periodic solutions for impulsive cellular neural networks
• Stability in asymmetric Hopfield nets with transmission delays
• On global asymptotic stability of recurrent neural networks with time-varying delays.
• Continuous-time additive Hopfield-type neural networks with impulses.
• Absolutely exponential stability of a class of neural networks with unbounded delay
• On stability of delayed cellular neural networks
• Almost periodic solutions for impulsive neural networks with delay
• On the global asymptotic stability of delayed cellular neural networks
• Cellular neural networks: theory
• Stability and dynamics of delay-type general and cellular neural networks
• Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions
• Convergence analysis of cellular neural networks with unbounded delay
• Globally exponential stability of neural networks with variable delays
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics