NDLI: Asymptotic Stability of a Class of Neutral Delay Neuron System in a Critical Case

Content Provider	IEEE Xplore Digital Library
Author	Xiaofeng Liao Tingwen Huang
Copyright Year	2012
Abstract	In this brief, the asymptotic stability properties of a neutral delay neuron system are studied mainly in a critical case when the exponential stability is not possible. If a critical value of the coefficient in the neutral delay neuron system is considered, then the difficulty for our investigation is caused by the fact that the spectrum of the linear operator is asymptotically approximated to the imaginary axis. It is obvious that, in such a case, the equation is not exponentially stable, and one needs more subtle methods in order to characterize this type of asymptotic stability. Hence, first, the local asymptotic stability for the neutral delay neuron system is studied, and the main tools involved are the asymptotic expansions of characteristic roots, Laplace transforms, and function series, and a complete analysis of the stability diagram is also presented. Then, based on the energy method, the globally asymptotic stability results for the neutral delay neuron system are derived.
Starting Page	3320
Ending Page	3325
Page Count	6
File Size	303903
File Format	PDF
ISSN	2162237X
Volume Number	26
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Asymptotic stability Neurons Stability criteria Delays Thermal stability Mathematical model nonexponential stability. energy method neuron system neutral-type differential equations nonexponential stability
Content Type	Text
Resource Type	Article
Subject	Artificial Intelligence Computer Networks and Communications Computer Science Applications Software

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