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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

Global exponential stability in Lagrange sense for recurrent neural networks with time delays

TL;DR: By constructing appropriate Lyapunov-like functions, this paper provides easily verifiable criteria for the boundedness and global exponential attractivity of RNNs, which can be applied to analyze monostable as well as multistable neural networks.
Journal ArticleDOI

Stability of inertial BAM neural network with time-varying delay via impulsive control

TL;DR: By choosing proper variable transformation, the inertial BAM neural networks can be rewritten as first-order differential equations using the Lyapunov functional method and the comparison principle to derive some sufficient conditions guaranteeing the exponential stability of the neural networks under impulsive control.
Journal ArticleDOI

Reaction-diffusion navigation robot control: from chemical to VLSI analogic processors

TL;DR: A new methodology and experimental implementations for real-time wave-based robot navigation in a complex, dynamically changing environment is introduced and principles of computation in reaction-diffusion (RD) nonlinear active media where autowaves are used for information processing purposes can be considered as RD computing devices.
Journal ArticleDOI

Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses

TL;DR: Several simple sufficient conditions checking the global exponential stability and the existence of periodic solutions are obtained for the neural networks and the estimation for exponential convergence rate index is proposed.
Journal ArticleDOI

An analytic method for designing simple cellular neural networks

TL;DR: A method is proposed for synthesizing cellular neural networks (CNNs) designed for simple applications that leads to a set of inequalities that must be satisfied by the parameters of the cloning template defining the cellular neural network in order to guarantee correct operation for the network.
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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