Abstract
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.
Keywords
Cellular neural network
Equilibrium point
Stability (learning theory)
Mathematics
Artificial neural network
Sign (mathematics)
Saturation (graph theory)
Computer science
Mathematical economics
Combinatorics
Artificial intelligence
Mathematical analysis
Machine learning
Subject Areas
Neural Networks Stability and Synchronization
·Computer Networks and Communications ·Physical Sciences
Cooperative Communication and Network Coding
·Computer Networks and Communications ·Physical Sciences
Cellular Automata and Applications
·Computational Theory and Mathematics ·Physical Sciences
Citations by Year
2021: 1
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