NDLI: Monotonicity of semiflows generated by cooperative delayed full-range CNNs

Content Provider	IEEE Xplore Digital Library
Author	Di Marco, M. Forti, M. Grazzini, M. Pancioni, L.
Copyright Year	2012
Description	Author affiliation: Department of Information Engineering, University of Siena, Via Roma 56, 53100 - Siena, Italy (Di Marco, M.; Forti, M.; Grazzini, M.; Pancioni, L.)
Abstract	The paper considers the full-range (FR) model of cellular neural networks (CNNs) with ideal hard-limiter non-linearities that limit the allowable range of the neuron state variables. It is also supposed that there is a concentrated delay (D) in the neuron interconnections. Due to the presence of multivalued nonlinearities the D-FRCNN model is mathematically described by a retarded differential inclusion. The main result is a rigorous proof that, in the case of nonsymmetric cooperative (nonnegative) interconnections, and delayed interconnections, the semiflow generated by D-FRCNNs is monotone, and that monotonicity implies some basic restrictions on the long-term behavior of the solutions. The result is compared with recent results in the literature on semiflows generated by cooperative standard CNNs, with and without delays.
Starting Page	1
Ending Page	6
File Size	363082
Page Count	6
File Format	PDF
ISBN	9781467302876
ISSN	21650179
e-ISBN	9781467302890
DOI	10.1109/CNNA.2012.6331406
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-08-29
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Neurons Delay Convergence Vectors Differential equations Hypercubes Mathematical model
Content Type	Text
Resource Type	Article

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