Title
A Result On Global Convergence In Finite Time For Nonsmooth Neural Networks
Abstract
The paper considers a large class of additive neural networks where the neuron activations are modeled by discontinuous functions or by non-Lipschitz functions. A result is established guaranteeing that the state solutions and output solutions of the neural network are globally convergent in finite time toward a unique equilibrium point. The obtained result, which generalizes previous results on convergence in finite time in the literature, is of interest for designing neural networks aimed at solving global optimization problems in real time.
Year
DOI
Venue
2006
10.1109/ISCAS.2006.1692696
2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS
Keywords
Field
DocType
real time,computer networks,neural nets,stress,global optimization,design optimization,neuronal activity,neural network,neural networks,convergence,intelligent networks,computational modeling,linear programming,equilibrium point,lipschitz function
Convergence (routing),Mathematical optimization,Computer science,Equilibrium point,Linear programming,Intelligent Network,Artificial neural network,Global optimization problem,Finite time
Conference
ISSN
Citations 
PageRank 
0271-4302
2
0.38
References 
Authors
7
4
Name
Order
Citations
PageRank
Mauro Forti139836.80
Massimo Grazzini213111.01
Paolo Nistri321233.80
Luca Pancioni420717.58