Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays
From MaRDI portal
Publication:2185693
DOI10.1016/j.neunet.2019.12.012zbMath1443.93123OpenAlexW2995312257WikidataQ92324193 ScholiaQ92324193MaRDI QIDQ2185693
Xingxing You, Zhen Jiang Zhao, Qian-Kun Song
Publication date: 5 June 2020
Published in: Neural Networks (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.neunet.2019.12.012
Control/observation systems governed by functional-differential equations (93C23) Fractional derivatives and integrals (26A33) Delay control/observation systems (93C43) Networked control (93B70) Finite-time stability (93D40)
Related Items
Exponential stability for delayed complex-valued neural networks with reaction-diffusion terms ⋮ Fixed-time synchronization for complex-valued BAM neural networks with time-varying delays via pinning control and adaptive pinning control ⋮ Non-fragile \(\mathcal{L}_2 - \mathcal{L}_\infty\) filtering for a class of switched neural networks ⋮ Stochastic exponential synchronization for delayed neural networks with semi-Markovian switchings: saturated heterogeneous sampling communication ⋮ Quasi-stabilization control of quaternion-valued fractional-order memristive neural networks ⋮ Finite-time fuzzy reliable controller design for fractional-order tumor system under chemotherapy ⋮ Mittag-Leffler stability and synchronization of neutral-type fractional-order neural networks with leakage delay and mixed delays ⋮ Asymptotic stability of fractional difference equations with bounded time delays ⋮ Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms ⋮ Bifurcation study on fractional-order Cohen-Grossberg neural networks involving delays ⋮ Unnamed Item ⋮ Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays ⋮ Non-fragile asynchronous state estimation for Markovian switching CVNs with partly accessible mode detection: the discrete-time case ⋮ A new Lyapunov functional for stability analysis of neutral-type Hopfield neural networks with multiple delays ⋮ Robust asymptotical stability and stabilization of fractional-order complex-valued neural networks with delay ⋮ New results on stability of delayed Cohen-Grossberg neural networks of neutral type ⋮ Nonlinear nabla variable-order fractional discrete systems: asymptotic stability and application to neural networks
Cites Work
- Unnamed Item
- Unnamed Item
- New and improved results on stability of static neural networks with interval time-varying delays
- Global stability of impulsive fractional differential equations
- Further results on exponential stability of neural networks with time-varying delay
- Asymptotic stability and stabilization of a class of nonautonomous fractional order systems
- Gronwall's inequality on discrete fractional calculus
- Exponential passivity of memristive neural networks with time delays
- Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays
- A Lyapunov approach to the stability of fractional differential equations
- On Riemann and Caputo fractional differences
- Existence of bounded and unbounded nonoscillatory solutions of nonlinear partial difference equations
- A new stability analysis of delayed cellular neural networks
- On piecewise continuous solutions of higher order impulsive fractional differential equations and applications
- Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays
- Dynamical analysis of a discrete-time SIS epidemic model on complex networks
- A modified Lyapunov functional with application to stability of neutral-type neural networks with time delays
- \(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks
- High accuracy asymptotic bounds for the complete elliptic integral of the second kind
- Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks
- Switching event-triggered control for global stabilization of delayed memristive neural networks: an exponential attenuation scheme
- Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments
- On delta and nabla Caputo fractional differences and dual identities
- Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
- Stability analysis of nonlinear fractional-order systems with variable-time impulses
- Discrete fractional logistic map and its chaos
- LMI optimization approach on stability for delayed neural networks of neutral-type
- A fixed-point theorem of Krasnoselskii
- Dynamical analysis of uncertain neural networks with multiple time delays
- Discrete Fractional Calculus
- Initial value problems in discrete fractional calculus
- LMI-based approach to stability analysis for fractional-order neural networks with discrete and distributed delays
- Bifurcation and Chaos in Noninteger Order Cellular Neural Networks
- The discrete delta and nabla Mittag-Leffler distributions
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- Finite-Time Stability of Fractional-Order Neural Networks with Delay