The stability cone for a matrix delay difference equation

dc.contributor.author	Kipnis M.M.	en
dc.contributor.author	Malygina V.V.	en
dc.date.accessioned	2018-10-15T11:18:32Z
dc.date.available	2018-10-15T11:18:32Z
dc.date.issued	2011
dc.identifier.issn	1611712
dc.identifier.uri	http://dspace.susu.ru/handle/0001.74/20128
dc.description.abstract	We construct a stability cone, which allows us to analyze the stability of the matrix delay difference equation xn = A xn-1 + B xm-k. We assume that A and B are m × m simultaneously triangularizable matrices. We construct m points in 3 which are functions of eigenvalues of matrices A, B such that the equation is asymptotically stable if and only if all the points lie inside the stability cone. Copyright 2011 M. M. Kipnis and V. V. Malygina.	en]
dc.language.iso	English
dc.relation.ispartof	International Journal of Mathematics and Mathematical Sciences	en]
dc.title	The stability cone for a matrix delay difference equation	en
dc.type	Article	en]
dc.identifier.doi	10.1155/2011/860326
dc.identifier.scopus	https://www.scopus.com/inward/record.uri?eid=2-s2.0-79959283653&doi=10.1155%2f2011%2f860326&partnerID=40&md5=3eb5b520648d83336e8fc11dd3c3db0b