Geodesic
Improved perturbation bounds for the continuous-time $H_{\infty}$-control problem
Electronic transactions on numerical analysis, Tome 43 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {43},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__43__a6/}
}
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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/