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Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays

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TLDR
This paper investigates the global asymptotic stability and stabilization of memristive neural networks (MNNs) with communication delays via event-triggered sampling control through a newly augmented Lyapunov-Krasovskii functional.
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This article is published in Applied Mathematics and Computation.The article was published on 2017-10-01. It has received 178 citations till now. The article focuses on the topics: Control theory & Exponential stability.

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Citations
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Journal ArticleDOI

Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption

TL;DR: In this paper , a Lyapunov-based event-triggered mechanism is constructed to derive few sufficient conditions in terms of Linear Matrix Inequalities (LMIs) with the help of numerical packages.
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Enhanced Global Asymptotic Stabilization Criteria for Delayed Fractional Complex-valued Neural Networks with Parameter Uncertainty

TL;DR: This paper addresses the global asymptotic stabilization of delayed fractional complex-valued neural networks (FCVNNs) subject to bounded parameter uncertainty with a simple and practical controller–linear state feedback controller.
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Discontinuous Event-Triggered Control for Local Stabilization of Memristive Neural Networks With Actuator Saturation: Discrete- and Continuous-Time Lyapunov Methods

TL;DR: In this article , a discontinuous event trigger (DET) scheme, consisting of the rest interval and work interval, is proposed to cut down the triggering times and save the limited communication resources.
Journal ArticleDOI

Robust State Observer Design for Dynamic Connection Relationships in Complex Dynamical Networks

TL;DR: It is proved in this paper that the state observer for the connection relationships subsystem is asymptotical under certain mathematic conditions and the illustrated simulation is given to show the efficiency and validity of the proposed method.
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Dynamical performance analysis of communication-embedded neural networks: A survey

TL;DR: This paper renders a comprehensive summary on the recent advances of communication-embedded NNs and their application in nonlinear control from the perspective of dynamical behavior.
References
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Journal ArticleDOI

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.
Book

Differential Equations with Discontinuous Righthand Sides

TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
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