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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.
@article{COCV_2012__18_3_877_0,
author = {Gil, Michael Iosif},
title = {Stability of retarded systems with slowly varying coefficient},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {877--888},
publisher = {EDP-Sciences},
volume = {18},
number = {3},
year = {2012},
doi = {10.1051/cocv/2011185},
mrnumber = {3041668},
zbl = {1268.34134},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2011185/}
}
TY - JOUR AU - Gil, Michael Iosif TI - Stability of retarded systems with slowly varying coefficient JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2012 SP - 877 EP - 888 VL - 18 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2011185/ DO - 10.1051/cocv/2011185 LA - en ID - COCV_2012__18_3_877_0 ER -
%0 Journal Article %A Gil, Michael Iosif %T Stability of retarded systems with slowly varying coefficient %J ESAIM: Control, Optimisation and Calculus of Variations %D 2012 %P 877-888 %V 18 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2011185/ %R 10.1051/cocv/2011185 %G en %F COCV_2012__18_3_877_0
Gil, Michael Iosif. Stability of retarded systems with slowly varying coefficient. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 3, pp. 877-888. doi: 10.1051/cocv/2011185
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