Number of stable equilibrium states of cellular neural networks

1994 ◽  
Vol 41 (9) ◽  
pp. 608-610 ◽  
Author(s):  
P. Kaluzny
Keyword(s):  
Neural Networks ◽  
Stable Equilibrium ◽  
Cellular Neural Networks ◽  
Equilibrium States

TEXTURE GENERATION USING CELLULAR NEURAL NETWORKS

2006 ◽  
Vol 16 (12) ◽  
pp. 3655-3668 ◽  
Author(s):  
PIOTOR DEBIEC ◽  
LUKASZ KORNATOWSKI ◽  
KRZYSZTOF SLOT ◽  
HYONGSUK KIM
Keyword(s):  
Neural Networks ◽  
Nonlinear Optimization ◽  
Stable Equilibrium ◽  
Cellular Neural Networks ◽  
Texture Generation ◽  
Refinement Procedure ◽  
Derivation Procedure ◽  
Selection Of

The following paper introduces an application of Cellular Neural Networks for the generation of predetermined stochastic textures. The key element for the task realization is an appropriate selection of template elements, which should provide a transformation of initial, random CNN state into a stable equilibrium, featuring desired perceptual properties. A template derivation procedure comprises two steps: linear CNN design, followed by a template-refinement procedure that involves nonlinear optimization. In addition, a procedure that extends CNN texture rendition capabilities into a realm of non-pure stochastic textures is proposed.

ON THE EXISTENCE OF STABLE EQUILIBRIUM POINTS IN CELLULAR NEURAL NETWORKS

2003 ◽  
Vol 12 (04) ◽  
pp. 461-471 ◽  
Author(s):  
NEYIR OZCAN ◽  
SABRI ARIK ◽  
VEDAT TAVSANOGLU
Keyword(s):  
Neural Networks ◽  
Stable Equilibrium ◽  
Opposite Sign ◽  
Equilibrium Points ◽  
Cellular Neural Networks ◽  
Stability Conditions ◽  
Saturation Region ◽  
New Criteria ◽  
Special Classes

This paper presents new criteria for the existence of stable equilibrium points in the total saturation region for cellular neural networks (CNNs). It is shown that the results obtained can be used to derive some complete stability conditions for some special classes of CNNs such as positive cell-linking CNNs, opposite-sign CNNs and dominant-template CNNs. Our results are also compared with the previous results derived in the literature for the existence of stable equilibrium points for CNNs.

New Criteria on Stability of Dynamic Memristor Delayed Cellular Neural Networks

2020 ◽  
pp. 1-13
Author(s):  
Kun Deng ◽  
Song Zhu ◽  
Wei Dai ◽  
Chunyu Yang ◽  
Shiping Wen
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
New Criteria

scholarly journals Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

2011 ◽  
Vol 21 (4) ◽  
pp. 649-658 ◽  
Author(s):  
Qianhong Zhang ◽  
Lihui Yang ◽  
Daixi Liao
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Exponential Stability ◽  
Differential Inequality ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Fuzzy Cellular Neural Networks ◽  
Inequality Technique

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.

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