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Journal ArticleDOI

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

Stability analysis of generalized cellular neural networks

TL;DR: The results on the global asymptotic stability are useful for the design of a generalized CNN such that the orbit of each state converges to a globally asymPTotically stable equilibrium point which depends only on the input and not on the initial state.
Journal ArticleDOI

Finite-time synchronization of delayed fuzzy cellular neural networks with discontinuous activations

TL;DR: By utilizing the discontinuous state feedback control method and constructing Lyapunov functionals, new and useful finite-time synchronization criteria for the considered networks are established, which significantly generalize and improve recent works in literature.
Journal ArticleDOI

Self-organization in a two-layer CNN

TL;DR: It is shown that a two-layer cellular neural network with constant templates is suitable for generating self-organizing patterns and, therefore, it is able to model complex phenomena.
Proceedings ArticleDOI

Stability of synchronized distributed control of discrete swarm structures

TL;DR: The authors prove that both 1D and 2D swarm structures are stable with appropriate weights in the sum of adjacent errors if the vertical disturbances vary sufficiently more slowly than the response time of the servo systems of the agents.
Journal ArticleDOI

Complete and lag synchronization of hyperchaotic systems using small impulses

TL;DR: In this paper, the complete synchronization and lag synchronization of the hyperchaotic systems are restated as the impulsive control issues, and simple and easy-to-be-verified stability criteria are derived, and then applied to synchronize and lag-synchronize the Chua's oscillators.
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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