Abstract
This paper presents new sufficient conditions for the existence of stable equilibrium points in the total saturation region for delayed cellular neural networks (DCNNs). The obtained results are compared with the previous results derived in the literature. It is also shown that the results of this paper generalize the previous literature results for the existence of stable equilibrium points for DCNNs. It is also demonstrated by a numerical example that the conditions derived for existence of a stable equilibrium point may not always guarantee the complete stability of a delayed cellular neural network
Keywords
Equilibrium point
Cellular neural network
Artificial neural network
Stability (learning theory)
Saturation (graph theory)
Mathematics
Computer science
Exponential stability
Applied mathematics
Mathematical analysis
Artificial intelligence
Combinatorics
Physics
Nonlinear system
Differential equation
Subject Areas
Neural Networks Stability and Synchronization
·Computer Networks and Communications ·Physical Sciences
Cooperative Communication and Network Coding
·Computer Networks and Communications ·Physical Sciences
stochastic dynamics and bifurcation
·Statistical and Nonlinear Physics ·Physical Sciences
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