Stability of retarded systems with slowly varying coefficient
ESAIM: Control, Optimisation and Calculus of Variations (2012)
- Volume: 18, Issue: 3, page 877-888
- ISSN: 1292-8119
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topGil, Michael Iosif. "Stability of retarded systems with slowly varying coefficient." ESAIM: Control, Optimisation and Calculus of Variations 18.3 (2012): 877-888. <http://eudml.org/doc/244352>.
@article{Gil2012,
abstract = {The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations. },
author = {Gil, Michael Iosif},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Linear retarded systems; stability; generalized Bohl-Perron principle; linear retarded systems},
language = {eng},
month = {11},
number = {3},
pages = {877-888},
publisher = {EDP Sciences},
title = {Stability of retarded systems with slowly varying coefficient},
url = {http://eudml.org/doc/244352},
volume = {18},
year = {2012},
}
TY - JOUR
AU - Gil, Michael Iosif
TI - Stability of retarded systems with slowly varying coefficient
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2012/11//
PB - EDP Sciences
VL - 18
IS - 3
SP - 877
EP - 888
AB - The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
LA - eng
KW - Linear retarded systems; stability; generalized Bohl-Perron principle; linear retarded systems
UR - http://eudml.org/doc/244352
ER -
References
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