Journal ArticleDOI
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.About:
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.read more
Citations
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Cooperative epidemics spreading under resource control
TL;DR: A two-epidemic spreading model with resource control, in which the amount of resources is introduced into the recovery rates of diseases and the allocation of resources between two diseases is regulated by a parameter, and it is found that the heterogeneity of the network promotes the spreading of both diseases.
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Sampled-data synchronisation for memristive neural networks with multiple time-varying delays via extended convex combination method
TL;DR: This study presents a rigorous mathematical framework for the global asymptotic synchronisation of memristive neural networks comprising multiple time-varying delays (MTVDs) through sampled-data control by constructing a novel Lyapunov–Krasovskii functional that can fully capture the information on lower and upper bounds of each MTVD.
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Passivity-based synchronization for Markov switched neural networks with time delays and the inertial term
TL;DR: The passivity-based synchronization issue of Markov switched inertial neural networks with time delays is addressed in this work, and the influence of inertial term on neural network is taken into account.
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Sampled-data based quantisation control for T–S fuzzy switched systems with actuator failures dependent on an improved Lyapunov functional method
TL;DR: Sampled-data based quantisation control for Takagi-Sugeno (T-S) fuzzy switched systems with actuator failures under asynchronous switching is studied and improved exponential stabilisation criteria are obtained with less conservatism.
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Stochastic reliable synchronization for coupled Markovian reaction–diffusion neural networks with actuator failures and generalized switching policies
TL;DR: A new Lyapunov–Krasovskii functional (LKF) is introduced, which fully utilizes the information on the slope of neuron activation functions and a synchronization criterion is established in the form of linear matrix inequalities (LMIs).
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.