CIRCULANT MATRICES AND THE STABILITY OF A CLASS OF CNNS

Authors
JOY MP TAVSANOGLU V
Citation
Mp. Joy et V. Tavsanoglu, CIRCULANT MATRICES AND THE STABILITY OF A CLASS OF CNNS, International journal of circuit theory and applications, 24(1), 1996, pp. 7-13
Citations number
6
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
International journal of circuit theory and applications → ACNP
ISSN journal
00989886
Volume
24
Issue
1
Year of publication
1996
Pages
7 - 13
Database
ISI
SICI code
0098-9886(1996)24:1<7:CMATSO>2.0.ZU;2-Q
Abstract
In this paper we show that feedback matrices of ring CNNs are block ci rculants; as special cases, for example, feedback matrices of one-dime nsional ring CNNs are circulant matrices. Circulants and their close r elations the block circulants possess many pleasant properties which a llow one to describe their spectrum completely. After deriving the spe ctrum of the feedback operator, we discuss conditions for a CNN to be contractive, ensuring global asymptotic stability.