Stability and paracontractivity of discrete linear inclusions

Authors
Vladimirov, A Elsner, L Beyn, WJ
Citation
A. Vladimirov et al., Stability and paracontractivity of discrete linear inclusions, LIN ALG APP, 312(1-3), 2000, pp. 125-134
Citations number
15
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
312
Issue
1-3
Year of publication
2000
Pages
125 - 134
Database
ISI
SICI code
0024-3795(20000615)312:1-3<125:SAPODL>2.0.ZU;2-X
Abstract
We study stability properties of a finite set Sigma of n x n-matrices such as paracontractivity, BV- and left convergent products (LCPs)-stability, an d their relations to each other. The conjecture on equivalence of paracontr activity and LCP-stability is proved. Moreover, we prove the equivalence of the uniform BV-stability and the property of vanishing length of steps of any trajectory of Sigma. (C) 2000 Elsevier Science Inc. All rights reserved .