๐”– Bobbio Scriptorium
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CIRCULANT MATRICES AND THE STABILITY OF A CLASS OF CNNs

โœ Scribed by JOY, MARK P.; TAVSANOGLU, VEDAT

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
337 KB
Volume
24
Category
Article
ISSN
0098-9886

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โœฆ Synopsis

In this paper we show that feedback matrices of ring CNNs are block circulants; as special cases, for example, feedback matrices of one-dimensional ring CNNs are circulant matrices. Circulants and their close relations the block circulants possess many pleasant properties which allow one to describe their spectrum completely.

After deriving the spectrum of the feedback operator, we discuss conditions for a CNN to be contractive, ensuring global asymptotic stability.

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