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Circulant matrices and the stability of a class of CNNs

Joy, MP and Tavsanoglu, V (1996) Circulant matrices and the stability of a class of CNNs International Journal of Circuit Theory and Applications, 24 (1). pp. 7-13.

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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.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Tavsanoglu, V
Date : 1 January 1996
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 10:29
Last Modified : 24 Jan 2020 19:26

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