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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Hybrid resource allocation and its impact on the dynamics of disease spreading
TL;DR: By studying the interplay between the resource allocation and disease spreading based on a generalized susceptible–infected–susceptible (SIS) model, it is shown that the global resource allocation has more advantages in controlling disease than local allocation.
Journal ArticleDOI
Global Synchronization in Finite-time of Fractional-order Complexvalued Delayed Hopfield Neural Networks
TL;DR: By means of properties of the fractional-order inequality, such as Hölder inequality and Gronwall inequality, sufficient conditions are presented to guarantee the finite-time synchronization of the fractions-order complex-valued delayed neural networks when 1/2 ≤ γ < 1 and 0 < γ<1/2.
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Pinning stochastic sampled-data control for exponential synchronization of directed complex dynamical networks with sampled-data communications
TL;DR: A Lyapunov–Krasovskii functional (LKF) with some new terms is constructed, which can fully capture the information on stochastic sampling intervals, Stochastic input delays, and nonlinear functions.
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Structural Balance Control of Complex Dynamical Networks Based on State Observer for Dynamic Connection Relationships
TL;DR: It is proved that the CS can asymptotically track a given structural balance matrix under the influence of the observer-based controller.
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Improved results on sampled-data synchronization of Markovian coupled neural networks with mode delays
TL;DR: A new augmented time-dependent Lyapunov–Krasovskii functional is constructed, which can fully capture the information of the sawtooth structure and a new zero value equality is founded in order to strengthen the combinations of some resulting vectors.
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.