%0 Journal Article %1 RieSch08a %A Rieber, J. M. %A Scherer, C. W. %A Allgower, F. %D 2008 %J Int. J. Control %K EXC310 %N 5 %P 851-864 %T Robust $l_1$ performance analysis for linear systems with parametric uncertainties %U https://doi.org/10.1080/00207170701730451 %V 81 %X In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.

@article{RieSch08a, abstract = {In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.}, added-at = {2024-03-12T10:23:53.000+0100}, author = {Rieber, J. M. and Scherer, C. W. and Allgower, F.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/mst}, endnotereftype = {Journal Article}, file = {<Go to ISI>://000255553000012}, interhash = {65da870d0bca9e82e2d000989caf405c}, intrahash = {b9e0ef26b3072dde1659125d18d60b7c}, journal = {Int. J. Control}, keywords = {EXC310}, number = 5, pages = {851-864}, shorttitle = {Robust l(1) performance analysis for linear systems with parametric uncertainties}, timestamp = {2024-03-12T10:23:53.000+0100}, title = {{R}obust $l_1$ performance analysis for linear systems with parametric uncertainties}, url = {https://doi.org/10.1080/00207170701730451}, volume = 81, year = 2008 }