# On stability and robust stability of positive linear Volterra equations in Banach lattices

Open Mathematics (2010)

- Volume: 8, Issue: 5, page 966-984
- ISSN: 2391-5455

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topSatoru Murakami, and Pham Ngoc. "On stability and robust stability of positive linear Volterra equations in Banach lattices." Open Mathematics 8.5 (2010): 966-984. <http://eudml.org/doc/269541>.

@article{SatoruMurakami2010,

abstract = {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.},

author = {Satoru Murakami, Pham Ngoc},

journal = {Open Mathematics},

keywords = {Banach lattice; Volterra integro-differential equation; Positive system; Stability; Robust stability; positive system; stability; robust stability; positive co-semigroups; asymptotic stability},

language = {eng},

number = {5},

pages = {966-984},

title = {On stability and robust stability of positive linear Volterra equations in Banach lattices},

url = {http://eudml.org/doc/269541},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Satoru Murakami

AU - Pham Ngoc

TI - On stability and robust stability of positive linear Volterra equations in Banach lattices

JO - Open Mathematics

PY - 2010

VL - 8

IS - 5

SP - 966

EP - 984

AB - 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.

LA - eng

KW - Banach lattice; Volterra integro-differential equation; Positive system; Stability; Robust stability; positive system; stability; robust stability; positive co-semigroups; asymptotic stability

UR - http://eudml.org/doc/269541

ER -

## References

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