Asymptotical stability and synchronization of Riemann-Liouville fractional delayed neural networks

DOI10.1007/s40314-022-02122-8OpenAlexW4313201535MaRDI QIDQ2685279

Yanyan Li

Publication date: 20 February 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-022-02122-8

zbMATH Keywords

distributed delaysLyapunov-Krasovskii functionmultiple time-varying delaysfractional neural networksasymptotical stability and synchronization

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06) Stabilization of solutions to ordinary differential equations (34H15)

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Co-existence of robust output-feedback synchronization and anti-synchronization of delayed discrete-time neural networks with its application

Cites Work

• Unnamed Item
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• Peristaltic transport of fractional Maxwell fluids in uniform tubes: applications in endoscopy
• Stability and bifurcation analysis on a logistic model with discrete and distributed delays
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Recent applications of fractional calculus to science and engineering
• Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function
• New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays
• Bifurcations in a fractional-order neural network with multiple leakage delays
• Impulsive exponential synchronization of fractional-order complex dynamical networks with derivative couplings via feedback control based on discrete time state observations
• Secure synchronization and identification for fractional complex networks with multiple weight couplings under DoS attacks
• Asymptotic stability and synchronization of fractional delayed memristive neural networks with algebraic constraints
• Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays
• Dynamics behavior for second-order neutral Clifford differential equations: inertial neural networks with mixed delays
• Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses
• A broad class of discrete-time hypercomplex-valued Hopfield neural networks
• Global Mittag-Leffler stability and synchronization of discrete-time fractional-order complex-valued neural networks with time delay
• A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks
• New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay
• Global exponential convergence of neutral type competitive neural networks with \(D\) operator and mixed delay
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Global asymptotic stability of neutral type fractional‐order memristor‐based neural networks with leakage term, discrete and distributed delays
• Finite-time stabilization for fractional-order inertial neural networks with time varying delays
• Dynamical behavior of recurrent neural networks with different external inputs
• Asymptotic stabilization of general nonlinear fractional-order systems with multiple time delays