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Asymptotic stability of nonsymmetric neural networks by sink symmetrization
by Williams, Alan, Ph.D., Northwestern University, 2002, 49 pages; AAT 3050611

Abstract (Summary)

We present a novel, nonperturbative extension of Hopfield's Lyapunov function for symmetric neural networks to the generic nonsymmetric case. The resulting nonperturbative condition for asymptotic stability is not simple, but it can be shown to be nonempty by examining the perturbative limit.

Indexing (document details)

Advisor:Solla, Sara A.
School:Northwestern University
School Location:United States -- Illinois
Keyword(s):Lyapunov functions, Hopfield's Lyapunov function, Asymptotic stability, Nonsymmetric, Neural networks
Source:DAI-B 63/04, p. 1886, Oct 2002
Source type:Dissertation
Subjects:Mathematics, Neurology
Publication Number: AAT 3050611
ISBN:97804936525810
Document URL:http://proquest.umi.com/pqdweb?did=726466431&sid=1&Fmt=2&cli entId=12498&RQT=309&VName=PQD
ProQuest document ID:726466431


 

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