Fractional Halanay inequality of order between one and two and application to neural network systems

DOI10.1186/S13662-019-2208-ZzbMath1459.34047OpenAlexW2953553678MaRDI QIDQ2311588

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Publication date: 10 July 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2208-z

zbMATH Keywords

Hopfield neural networkCaputo fractional derivativefractional halanay inequalitypower-type stability

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Fractional ordinary differential equations (34A08)

Related Items (2)

Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems ⋮ Fractional modeling and control in a delayed predator-prey system: extended feedback scheme

Cites Work

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• Stability of a class of fractional-order nonlinear systems
• Stability analysis of fractional-order Hopfield neural networks with time delays
• Mittag-Leffler stability of fractional-order Hopfield neural networks
• Linearized asymptotic stability for fractional differential equations
• Continuous and discrete Halanay-type inequalities
• Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
• Neural networks and physical systems with emergent collective computational abilities.
• Neurons with graded response have collective computational properties like those of two-state neurons.

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