Preservation of exponential stability for equations with several delays
Leonid Berezansky; Elena Braverman
Mathematica Bohemica (2011)
- Volume: 136, Issue: 2, page 135-144
- ISSN: 0862-7959
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topBerezansky, Leonid, and Braverman, Elena. "Preservation of exponential stability for equations with several delays." Mathematica Bohemica 136.2 (2011): 135-144. <http://eudml.org/doc/196475>.
@article{Berezansky2011,
abstract = {We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays \[ \dot\{x\}(t) + \sum \_\{k=1\}^m a\_k(t) x(h\_k(t)) = 0, \quad a\_k(t) \ge 0 \]
under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.},
author = {Berezansky, Leonid, Braverman, Elena},
journal = {Mathematica Bohemica},
keywords = {exponential stability; nonoscillation; explicit stability condition; perturbation; exponential stability; nonoscillation; explicit stability condition; perturbation},
language = {eng},
number = {2},
pages = {135-144},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Preservation of exponential stability for equations with several delays},
url = {http://eudml.org/doc/196475},
volume = {136},
year = {2011},
}
TY - JOUR
AU - Berezansky, Leonid
AU - Braverman, Elena
TI - Preservation of exponential stability for equations with several delays
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 2
SP - 135
EP - 144
AB - We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays \[ \dot{x}(t) + \sum _{k=1}^m a_k(t) x(h_k(t)) = 0, \quad a_k(t) \ge 0 \]
under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.
LA - eng
KW - exponential stability; nonoscillation; explicit stability condition; perturbation; exponential stability; nonoscillation; explicit stability condition; perturbation
UR - http://eudml.org/doc/196475
ER -
References
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