Notes on $\mu$ and $l_1$ robustness tests

Kovács, Gábor Z., and Hangos, Katalin M.. "Notes on $\mu $ and $l_1$ robustness tests." Kybernetika 34.5 (1998): [565]-578. <http://eudml.org/doc/33389>.

@article{Kovács1998,
abstract = {An upper bound for the complex structured singular value related to a linear time-invariant system over all frequencies is given. It is in the form of the spectral radius of the $\{\mathcal \{H\}\}_\infty $-norm matrix of SISO input-output channels of the system when uncertainty blocks are SISO. In the case of MIMO uncertainty blocks the upper bound is the $\infty $-norm of a special non-negative matrix derived from $\{\mathcal \{H\}\}_\infty $-norms of SISO channels of the system. The upper bound is fit into the inequality relation between the results of $\mu $ and $\ell _1$ robustness tests.},
author = {Kovács, Gábor Z., Hangos, Katalin M.},
journal = {Kybernetika},
keywords = {linear time-invariant MIMO system; robust stability; single input single output input-output channels; MIMO uncertainty; $\{\mathcal \{H\}\}_\infty $-norm; linear time-invariant MIMO system; robust stability; single input single output input-output channels; MIMO uncertainty; -norm},
language = {eng},
number = {5},
pages = {[565]-578},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Notes on $\mu $ and $l_1$ robustness tests},
url = {http://eudml.org/doc/33389},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Kovács, Gábor Z.
AU - Hangos, Katalin M.
TI - Notes on $\mu $ and $l_1$ robustness tests
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 5
SP - [565]
EP - 578
AB - An upper bound for the complex structured singular value related to a linear time-invariant system over all frequencies is given. It is in the form of the spectral radius of the ${\mathcal {H}}_\infty $-norm matrix of SISO input-output channels of the system when uncertainty blocks are SISO. In the case of MIMO uncertainty blocks the upper bound is the $\infty $-norm of a special non-negative matrix derived from ${\mathcal {H}}_\infty $-norms of SISO channels of the system. The upper bound is fit into the inequality relation between the results of $\mu $ and $\ell _1$ robustness tests.
LA - eng
KW - linear time-invariant MIMO system; robust stability; single input single output input-output channels; MIMO uncertainty; ${\mathcal {H}}_\infty $-norm; linear time-invariant MIMO system; robust stability; single input single output input-output channels; MIMO uncertainty; -norm
UR - http://eudml.org/doc/33389
ER -