https://puma.ub.uni-stuttgart.de/tag/optimization%20programsPUMA RSS feed for /tag/optimization%20programs2026-04-05T15:10:45+02:00https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/carsten.scherercarsten.scherer2021-12-07T20:40:52+01:00EXC310 approach dependent functions imng inequality lyapunov matrix optimization peerReviewed pn4 programs relaxations <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="J. M. Rieber" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/0"><span itemprop="name">J. Rieber</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. W. Scherer" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Allgower" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/2"><span itemprop="name">F. Allgower</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Int. J. Control</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">81 </span></span>(<span itemprop="issueNumber">5</span>): <span itemprop="pagination">851-864</span></em> </span>(<em><span>2008<meta content="2008" itemprop="datePublished"/></span></em>)</span>Tue Dec 07 20:40:52 CET 2021Int. J. Control5851-864{R}obust $l_1$ performance analysis for linear systems with parametric uncertainties812008EXC310 approach dependent functions imng inequality lyapunov matrix optimization peerReviewed pn4 programs relaxations 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.https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/mathematikmathematik2021-12-01T20:49:49+01:00approach lyapunov functions relaxations imng matrix inequality from:carsten.scherer EXC310 optimization pn4 peerReviewed programs dependent <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="J. M. Rieber" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/0"><span itemprop="name">J. Rieber</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. W. Scherer" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="F. Allgower" itemprop="url" href="/person/165da870d0bca9e82e2d000989caf405c/author/2"><span itemprop="name">F. Allgower</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Int. J. Control</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">81 </span></span>(<span itemprop="issueNumber">5</span>): <span itemprop="pagination">851-864</span></em> </span>(<em><span>May 2008<meta content="May 2008" itemprop="datePublished"/></span></em>)</span>Wed Dec 01 20:49:49 CET 2021Int. J. Controlmay5851-864{R}obust $l_1$ performance analysis for linear systems with parametric uncertainties812008approach lyapunov functions relaxations imng matrix inequality from:carsten.scherer EXC310 optimization pn4 peerReviewed programs dependent 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.