scispace - formally typeset
Journal ArticleDOI

Cellular neural networks: theory

Reads0
Chats0
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. >

read more

Citations
More filters
Journal ArticleDOI

Absolute stability of analytic neural networks: an approach based on finite trajectory length

TL;DR: In this paper, the authors prove that the total length of the NN trajectories is finite under the assumption that the neural network possesses a Lyapunov function, and the nonlinearities involved (neuron activations, inhibitions, etc.) are modeled by analytic functions.
Journal ArticleDOI

Cellular neural networks to explore complexity

TL;DR: A unifying approach to pattern formation and active wave propagation phenomena is presented and it is proven that both of these behaviours can be simulated with CNNs with the same cell structure, and the thoroughly different dynamics can arise only suitably modulating the CNN cell parameters.
Journal ArticleDOI

The CNN Universal Machine is as universal as a Turing Machine

TL;DR: It is shown that the simplest integrated circuit implementations of the CNN Universal Machine can play the "game of life", and are therefore equivalent to Turing Machines.
Journal ArticleDOI

Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays

TL;DR: A new L@?operator inequality is established and using the properties of M@?matrix, under more relaxing condition of the diffusion coefficient matrix, the sufficient condition ensuring the exponential pth moment stability and almost sure exponential stability of stochastic fuzzy cellular neural networks with time-varying delays is obtained.
Journal ArticleDOI

Fixed-time synchronization of memristor-based fuzzy cellular neural network with time-varying delay

TL;DR: The fixed-time synchronization control of the drive-response MFCNN is converted into the equivalent fixed- time stability problem of the error system between theDrive-response systems by utilizing differential inclusion, set-valued map theory, and the definitions of finite-time and Fixed-time stability.
References
More filters
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.
Related Papers (5)