Journal ArticleDOI
Projective synchronization of fractional-order memristor-based neural networks.
Haibo Bao,Jinde Cao,Jinde Cao +2 more
TLDR
The projective synchronization of fractional-order memristor-based neural networks is investigated by derived in the sense of Caputo's fractional derivation and by combining a fractionAL-order differential inequality.About:
This article is published in Neural Networks.The article was published on 2015-03-01. It has received 265 citations till now. The article focuses on the topics: Synchronization (computer science) & Memristor.read more
Citations
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Journal ArticleDOI
Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems
TL;DR: An adaptive fuzzy backstepping control method for a class of uncertain fractional-order nonlinear systems with unknown external disturbances that ensures convergence of the tracking error is constructed.
Journal ArticleDOI
Global Mittag–Leffler Stabilization of Fractional-Order Memristive Neural Networks
Ailong Wu,Zhigang Zeng +1 more
TL;DR: This paper investigates the global Mittag-Leffler stabilization for a class of fractional-order memristive neural networks, and two types of control rules are designed for the stabilization of fractionalsized neural networks.
Journal ArticleDOI
Stability and synchronization of memristor-based fractional-order delayed neural networks
TL;DR: Global asymptotic stability and synchronization of a class of fractional-order memristor-based delayed neural networks are investigated and sufficient condition for global asymPTotic stability of fractionalin-order memory-based neural networks is derived.
Journal ArticleDOI
Chaos in fractional-order discrete neural networks with application to image encryption
TL;DR: A three-dimensional fractional-order discrete Hopfield neural network in the left Caputo discrete delta's sense is proposed, the dynamic behavior and synchronization of FODHNN are studied, and the system is applied to image encryption.
Journal ArticleDOI
Finite-time Mittag-Leffler synchronization of fractional-order memristive BAM neural networks with time delays
TL;DR: The separated criteria are obtained to ensure the finite-time synchronization of studied FMBAMNNs with different fractional order α, respectively and the derived criteria are easily checked and they contribute to the reduction of amount of calculation.
References
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Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
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The missing memristor found
TL;DR: It is shown, using a simple analytical example, that memristance arises naturally in nanoscale systems in which solid-state electronic and ionic transport are coupled under an external bias voltage.
Journal ArticleDOI
Memristor-The missing circuit element
TL;DR: In this article, the memristor is introduced as the fourth basic circuit element and an electromagnetic field interpretation of this relationship in terms of a quasi-static expansion of Maxwell's equations is presented.
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Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
TL;DR: The definition of Mittag-Leffler stability is proposed and the fractional Lyapunov direct method is introduced and the application of Riemann-Liouville fractional order systems is extended by using Caputo fractional orders systems.