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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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Journal ArticleDOI

A non-ellipsoidal reachable set estimation for uncertain neural networks with time-varying delay

TL;DR: The maximal Lyapunov functional, combined with the Razumikhin methodology, is utilized to give a non-ellipsoidal description of the reachable set and an optimization algorithm is proposed in order to make the description as accurate as possible.
Book

High speed character recognition using a dual cellular neural network architecture (CNND) (Reseach report of the Dual and Neural Computing Systems Laboratory DNS-6-1992.)

TL;DR: It is shown that the CNND system can be used for recognition of multifont printed or handwritten characters and could recognize 100,000 char/s with a recognition rate of more than 95%.
Journal ArticleDOI

Global asymptotic stability of CNNs with impulses and multi-proportional delays

TL;DR: In this article, the global asymptotic stability of cellular neural networks with impulses and multi-proportional delays is studied and a sufficient condition for the existence, uniqueness, and the global stability of the equilibrium point of the network is provided.
Journal ArticleDOI

Almost periodic solutions of recurrent neural networks with continuously distributed delays

TL;DR: In this paper, a class of recurrent neural networks with continuously distributed delays is discussed and sufficient conditions are obtained to ensure the existence of an almost periodic solution for this model based on a special functional and analysis technique.
Journal ArticleDOI

Analysis on global exponential robust stability of reaction diffusion neural networks with S-type distributed delays

TL;DR: In this paper, the sufficient conditions to ensure the global exponential robust stability with a convergence rate for the reaction-diffusion neural networks with S-type distributed delays were investigated, and a new generalized Halanay inequality and a novel method-approximation method were introduced.
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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