We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
@article{bwmeta1.element.doi-10_2478_s11533-010-0061-0,
author = {Satoru Murakami and Pham Ngoc},
title = {On stability and robust stability of positive linear Volterra equations in Banach lattices},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {966-984},
zbl = {1218.45013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0061-0}
}
Satoru Murakami; Pham Ngoc. On stability and robust stability of positive linear Volterra equations in Banach lattices. Open Mathematics, Tome 8 (2010) pp. 966-984. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0061-0/
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