Lagrange \(\alpha\)-exponential stability and \(\alpha\)-exponential convergence for fractional-order complex-valued neural networks

DOI10.1016/j.neunet.2017.03.011zbMath1443.34012OpenAlexW2606792694WikidataQ47866060 ScholiaQ47866060MaRDI QIDQ2181054

Peng Wan, Ji-Gui Jian

Publication date: 18 May 2020

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2017.03.011

zbMATH Keywords

fractional-ordercomplex-valued neural network\(\alpha\)-exponential convergencefractional-order differential inequalityLagrange \(\alpha\)-exponential stability

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)

Related Items (14)

Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks ⋮ Globally \(\beta\)-Mittag-Leffler stability and \(\beta\)-Mittag-Leffler convergence in Lagrange sense for impulsive fractional-order complex-valued neural networks ⋮ Quasi-projective and complete synchronization of fractional-order complex-valued neural networks with time delays ⋮ Lagrange \(\alpha\)-exponential synchronization of non-identical fractional-order complex-valued neural networks ⋮ Impulsive disturbances on the dynamical behavior of complex-valued Cohen-Grossberg neural networks with both time-varying delays and continuously distributed delays ⋮ Multistability of delayed fractional-order competitive neural networks ⋮ Mittag-Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control ⋮ Global exponential convergence for impulsive inertial complex-valued neural networks with time-varying delays ⋮ Periodically intermittent control strategies for \(\alpha\)-exponential stabilization of fractional-order complex-valued delayed neural networks ⋮ Robust state estimation for fractional-order complex-valued delayed neural networks with interval parameter uncertainties: LMI approach ⋮ Mean square exponential stability of stochastic complex-valued neural networks with mixed delays ⋮ Global asymptotic stability of delayed fractional-order complex-valued fuzzy cellular neural networks with impulsive disturbances ⋮ Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays ⋮ Exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks

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