Synchronization for fractional-order time-delayed memristor-based neural networks with parameter uncertainty

DOI10.1016/j.jfranklin.2016.06.029zbMath1347.93013OpenAlexW2464442754MaRDI QIDQ325835

Yajuan Gu, Yongguang Yu, Hu Wang

Publication date: 11 October 2016

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.06.029

zbMATH Keywords

comparison theoremsynchronizationLyapunov methodparameter uncertaintyFilippov solutionmemristor-based neural networksdifferential inclusion theoryfractional-order time-delayed networksglobal asymptotic stability conditions

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Decentralized systems (93A14) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (40)

Synchronization of delayed fractional-order complex-valued neural networks with leakage delay ⋮ A digraph approach to the state-space model realization of MIMO non-commensurate fractional order systems ⋮ Synchronization analysis for fractional order memristive Cohen-Grossberg neural networks with state feedback and impulsive control ⋮ Global synchronization of fractional coupled networks with discrete and distributed delays ⋮ Stability analysis of fractional order memristive discontinuous neural networks with partial state control ⋮ Lag synchronization for fractional-order memristive neural networks with time delay via switching jumps mismatch ⋮ Novel discontinuous control for exponential synchronization of memristive recurrent neural networks with heterogeneous time-varying delays ⋮ Global dissipativity and quasi-synchronization of asynchronous updating fractional-order memristor-based neural networks via interval matrix method ⋮ Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays ⋮ Multisynchronization for coupled multistable fractional-order neural networks via impulsive control ⋮ Global uniform asymptotic fixed deviation stability and stability for delayed fractional-order memristive neural networks with generic memductance ⋮ General decay synchronization of memristor-based Cohen-Grossberg neural networks with mixed time-delays and discontinuous activations ⋮ Impulsive effects on bipartite quasi synchronization of extended Caputo fractional order coupled networks ⋮ Synchronization in uncertain fractional-order memristive complex-valued neural networks with multiple time delays ⋮ Intermittent control strategy for synchronization of fractional-order neural networks via piecewise Lyapunov function method ⋮ Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays ⋮ Non-fragile state estimation for fractional-order delayed memristive BAM neural networks ⋮ Pinning multisynchronization of delayed fractional-order memristor-based neural networks with nonlinear coupling and almost-periodic perturbations ⋮ Function matrix projection synchronization for the multi-time delayed fractional order memristor-based neural networks with parameter uncertainty ⋮ Commutator of the Caputo fractional derivative and the shift operator and applications ⋮ Synchronization of nonautonomous neural networks with Caputo derivative and time delay ⋮ Novel results on projective synchronization of fractional-order neural networks with multiple time delays ⋮ Stability, bifurcation prediction and optimal control of a delayed integer-order small-world network based on the fractional-order PD control policy of variable order ⋮ Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks ⋮ Global Mittag-Leffler synchronization of delayed fractional-order memristive neural networks ⋮ Pinning synchronization of fractional-order memristor-based neural networks with multiple time-varying delays via static or dynamic coupling ⋮ Finite-time inter-layer projective synchronization of Caputo fractional-order two-layer networks by sliding mode control ⋮ Disparate delays-induced bifurcations in a fractional-order neural network ⋮ Synchronization of fractional-order spatiotemporal complex-valued neural networks in finite-time interval and its application ⋮ Synchronization of fractional fuzzy cellular neural networks with interactions ⋮ Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks ⋮ A general result on non-existence of finite-time stable equilibria in fractional-order systems ⋮ Synchronization for commensurate Riemann-Liouville fractional-order memristor-based neural networks with unknown parameters ⋮ Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays ⋮ Global synchronization in nonlinearly coupled delayed memristor-based neural networks with excitatory and inhibitory connections ⋮ Global \(O(t^{-\alpha})\) synchronization of fractional-order non-autonomous neural network model with time delays through centralized data-sampling approach ⋮ Interval matrix method based synchronization criteria for fractional-order memristive neural networks with multiple time-varying delays ⋮ Synchronization of a class of fractional-order neural networks with multiple time delays by comparison principles ⋮ Adaptive synchronization of fractional-order complex-valued uncertainty dynamical network with coupling delay ⋮ Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Associative memories based on continuous-time cellular neural networks designed using space-invariant cloning templates
• Adaptive synchronization of fractional-order memristor-based neural networks with time delay
• Hybrid projective synchronization of fractional-order memristor-based neural networks with time delays
• Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks
• Multiple periodic solutions in impulsive hybrid neural networks with delays
• Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions
• Remarks on fractional derivatives
• New synchronization criteria for memristor-based networks: adaptive control and feedback control schemes
• Projective synchronization of fractional-order memristor-based neural networks
• Synchronization conditions in simple memristor neural networks
• Periodic synchronization in delayed memristive neural networks based on Filippov systems
• Non-fragile \(H_\infty\) synchronization of memristor-based neural networks using passivity theory
• \(p\)th moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control
• Stability and synchronization of memristor-based fractional-order delayed neural networks
• Finite-time synchronization of fractional-order memristor-based neural networks with time delays
• Robust stability analysis of fractional-order Hopfield neural networks with parameter uncertainties
• Nonlinear dynamics and chaos in fractional-order neural networks
• \(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks
• Non-fragile synchronization of memristive BAM networks with random feedback gain fluctuations
• Lyapunov functions for fractional order systems
• Stability analysis of fractional-order Hopfield neural networks with time delays
• Mittag-Leffler stability of fractional-order Hopfield neural networks
• Dynamic analysis of memristive neural system with unbounded time-varying delays
• Global exponential periodicity and stability of a class of memristor-based recurrent neural networks with multiple delays
• Stability Analysis of Delayed Cellular Neural Networks Described Using Cloning Templates
• Synchronization in chaotic systems
• Set-valued analysis

This page was built for publication: Synchronization for fractional-order time-delayed memristor-based neural networks with parameter uncertainty