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Cellular neural networks: theory

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TLDR
In this article, a class of information processing systems called cellular neural networks (CNNs) are proposed, which consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly through their nearest neighbors.
Abstract
A novel class of information-processing systems called cellular neural networks is proposed. Like neural networks, they are large-scale nonlinear analog circuits that process signals in real time. Like cellular automata, they consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly only through their nearest neighbors. Each cell is made of a linear capacitor, a nonlinear voltage-controlled current source, and a few resistive linear circuit elements. Cellular neural networks share the best features of both worlds: their continuous-time feature allows real-time signal processing, and their local interconnection feature makes them particularly adapted for VLSI implementation. Cellular neural networks are uniquely suited for high-speed parallel signal processing. >

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Citations
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Journal ArticleDOI

Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis-II

TL;DR: New sufficient conditions ensuring existence, uniqueness, and global asymptotic stability (GAS) of the equilibrium point for a general class of delayed neural networks (DNNs) are obtained via nonsmooth analysis, which makes full use of the Lipschitz property of functions defining DNNs.
Journal ArticleDOI

Global asymptotic stability of a class of neural networks with distributed delays

TL;DR: Novel sufficient conditions for the existence, uniqueness, and global asymptotic stability of the equilibrium point of neural networks with distributed delays are derived from the M-matrix theory and new analysis technique.
Journal ArticleDOI

Synchronization of neural networks of neutral type with stochastic perturbation

TL;DR: The goal of this letter is to derive an existence criterion of the controller for the synchronization between master and response networks.
Journal ArticleDOI

An analog scheme for fixed point computation. I. Theory

TL;DR: In this article, an analog system for fixed point computation is derived from a continuous time analog of the classical over-relaxed fixed point iteration, which converges to a single fixed point in a connected set of fixed points.
Journal ArticleDOI

On the use of multistability for image processing

TL;DR: In this article, the authors used the multistable property of a cellular nonlinear network (CNN) to extract the regions of interest of an image representing the radiography of a soldering.
References
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Journal ArticleDOI

Neural networks and physical systems with emergent collective computational abilities

TL;DR: A model of a system having a large number of simple equivalent components, based on aspects of neurobiology but readily adapted to integrated circuits, produces a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size.
Book

Self Organization And Associative Memory

Teuvo Kohonen
TL;DR: The purpose and nature of Biological Memory, as well as some of the aspects of Memory Aspects, are explained.
Journal ArticleDOI

Neurons with graded response have collective computational properties like those of two-state neurons.

TL;DR: A model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied and collective properties in very close correspondence with the earlier stochastic model based on McCulloch - Pitts neurons are studied.
Book

Neurons with graded response have collective computational properties like those of two-state neurons

TL;DR: In this article, a model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied, which has collective properties in very close correspondence with the earlier stochastic model based on McCulloch--Pitts neurons.
Journal ArticleDOI

Neural computation of decisions in optimization problems

TL;DR: Results of computer simulations of a network designed to solve a difficult but well-defined optimization problem-the Traveling-Salesman Problem-are presented and used to illustrate the computational power of the networks.
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