Mean-square stability of Riemann-Liouville fractional Hopfield's graded response neural networks with random impulses
DOI10.1186/s13662-021-03237-8zbMath1494.34074OpenAlexW3164176380WikidataQ114061267 ScholiaQ114061267MaRDI QIDQ2166796
Donal O'Regan, Ravi P. Agarwal, Peter Kopanov, Snezhana G. Hristova
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03237-8
Lyapunov functionsRiemann-Liouville fractional derivativeHopfield's graded response neural networkimpulses at random timesmean-square Mittag-Leffler stability in time
Neural networks for/in biological studies, artificial life and related topics (92B20) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)
Cites Work
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- A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
- Exponential stability for differential equations with random impulses at random times
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Global exponential stability of BAM neural networks with distributed delays and impulses
- Global exponential stability results for neutral-type impulsive neural networks
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Global Mittag-Leffler synchronization for impulsive fractional-order neural networks with delays
- Existence and globally asymptotic stability of equilibrium solution for fractional-order hybrid BAM neural networks with distributed delays and impulses
- Impulsive differential equations with Gamma distributed moments of impulses and \(p\)-moment exponential stability
- Stability of artificial neural networks with impulses
- Synchronization for commensurate Riemann-Liouville fractional-order memristor-based neural networks with unknown parameters
- Synchronization stability of Riemann-Liouville fractional delay-coupled complex neural networks
- Solving ill-posed problems faster using fractional-order Hopfield neural network
- Global Mittag-Leffler stability analysis of fractional-order impulsive neural networks with one-side Lipschitz condition
- Delay-dependent stability criterion of Caputo fractional neural networks with distributed delay
- Global asymptotic stability of CNNs with impulses and multi-proportional delays
- Functional Fractional Calculus
- Lyapunov Functional Approach to Stability Analysis of Riemann‐Liouville Fractional Neural Networks with Time‐Varying Delays
- Neural networks and physical systems with emergent collective computational abilities.
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