Geodesic
Improved perturbation bounds for the continuous-time \(H_{\infty}\)-control problem
Electronic transactions on numerical analysis, Tome 43 (2015)
New local perturbation bounds for the continuous-time $H_{\infty}$-control problem are obtained, which are nonlinear functions of the data perturbations and are tighter than the existing condition number-based local bounds. These nonlinear local bounds are then incorporated into nonlocal perturbation bounds which are less conservative than the existing nonlocal perturbation estimates for the $H_{\infty}$-control problem.
Classification : 93B36, 65F35, 93B35
Keywords: $H_{\infty}$-control, perturbation analysis, Riccati equations 
@article{ETNA_2015__43__a6,
     author = {Christov,  Nicolai D. and Konstantinov,  Mihail M. and Petkov,  Petko Hr.},
     title = {Improved perturbation bounds for the continuous-time {\(H_{\infty}\)-control} problem},
     journal = {Electronic transactions on numerical analysis},
     year = {2015},
     volume = {43},
     zbl = {1302.93090},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__43__a6/}
}
TY  - JOUR
AU  - Christov,  Nicolai D.
AU  - Konstantinov,  Mihail M.
AU  - Petkov,  Petko Hr.
TI  - Improved perturbation bounds for the continuous-time \(H_{\infty}\)-control problem
JO  - Electronic transactions on numerical analysis
PY  - 2015
VL  - 43
UR  - http://geodesic.mathdoc.fr/item/ETNA_2015__43__a6/
LA  - en
ID  - ETNA_2015__43__a6
ER  - 
%0 Journal Article
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%A Konstantinov,  Mihail M.
%A Petkov,  Petko Hr.
%T Improved perturbation bounds for the continuous-time \(H_{\infty}\)-control problem
%J Electronic transactions on numerical analysis
%D 2015
%V 43
%U http://geodesic.mathdoc.fr/item/ETNA_2015__43__a6/
%G en
%F ETNA_2015__43__a6
Christov,  Nicolai D.; Konstantinov,  Mihail M.; Petkov,  Petko Hr. Improved perturbation bounds for the continuous-time \(H_{\infty}\)-control problem. Electronic transactions on numerical analysis, Tome 43 (2015). http://geodesic.mathdoc.fr/item/ETNA_2015__43__a6/