Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

DOI10.2478/amcs-2013-0016zbMath1293.93634OpenAlexW1980154335MaRDI QIDQ2877533

Bo Wu, Rongjiang Yang, Jianquan Lu, Yang Liu, Xiu-Shan Cai

Publication date: 22 August 2014

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2013-0016

zbMATH Keywords

impulsive differential inequalityglobally exponential stabilityhigh-order Hopfield-type neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (7)

Stability and synchronization of a fractional neutral higher-order neural network system ⋮ A Halanay-type inequality approach to the stability analysis of discrete-time neural networks with delays ⋮ Exponential stability of impulsive complex-valued neural networks with time delay ⋮ Stability analysis of quaternion-valued neural networks with both discrete and distributed delays ⋮ A modified van der Pol equation with delay in a description of the heart action ⋮ Stability analysis for delayed quaternion-valued neural networks via nonlinear measure approach ⋮ Stabilization of Boolean control networks with stochastic impulses

Cites Work

• Unnamed Item
• On the practical stability of impulsive differential equations with infinite delay in terms of two measures
• Asymptotic stability of stochastic delayed recurrent neural networks with impulsive effects
• Stability of impulsive linear hybrid systems with time delay
• On global exponential stability for impulsive cellular neural networks with time-varying delays
• Global exponential stability of impulsive high-order bam neural networks with time-varying delays
• LMI-based criteria for stability of high-order neural networks with time-varying delay
• Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
• Global exponential stability for impulsive cellular neural networks with time-varying delays
• Impulsive control for a class of neural networks with bounded and unbounded delays
• Asymptotic stability of impulsive high-order Hopfield type neural networks
• A unified synchronization criterion for impulsive dynamical networks
• Exponential stability of impulsive cellular neural networks with time delay via Lyapunov functionals
• Exponential stability of impulsive high-order cellular neural networks with time-varying delays
• Stability in asymmetric Hopfield nets with transmission delays
• Global asymptotic stability of high-order Hopfield type neural networks with time delays
• New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays
• Impulsive stabilization of second-order nonlinear delay differential systems
• Differential equations: Stability, oscillations, time lags
• Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays
• Asymptotic stability of delayed stochastic genetic regulatory networks with impulses
• EXPONENTIAL STABILITY FOR STOCHASTIC NEURAL NETWORKS OF NEUTRAL TYPE WITH IMPULSIVE EFFECTS
• Cellular neural networks: theory
• Global Attractivity in Delayed Hopfield Neural Network Models
• On stability of cellular neural networks with delay
• Stability Criteria for Impulsive Systems With Time Delay and Unstable System Matrices
• LMI approach for global periodicity of neural networks with time-varying delays
• TIME-DELAYED IMPULSIVE CONTROL OF CHAOTIC HYBRID SYSTEMS
• Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses
• Stability Analysis and Design of Impulsive Control Systems With Time Delay
• Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays
• Exponential stability for delayed stochastic bidirectional associative memory neural networks with Markovian jumping and impulses

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