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UID:news1351@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20220419T163823
DTSTART;TZID=Europe/Zurich:20220422T110000
SUMMARY:Seminar in Numerical Analysis: Matthias Voigt (FernUni Schweiz)
DESCRIPTION:We introduce a model reduction approach for linear time-invaria
 nt second-order systems based on positive real balanced truncation. Our me
 thod guarantees to preserve passivity of the reduced-order model as well a
 s the positive definiteness of the mass and stiffness matrices and admits 
 an a priori gap metric error bound. Our construction of the second-order r
 educed model is based on the consideration of an internal symmetry structu
 re and the invariant zeros of the system and their sign-characteristics fo
 r which we derive a normal form. The results are available in [1].\\r\\n[1
 ] I. Dorschky\, T. Reis\, and M. Voigt. Balanced truncation model reductio
 n for symmetric second order systems - a passivity-based approach. SIAM J.
  Matrix Anal. Appl.\, 42(4):1602--1635\, 2021.\\r\\nFor further informatio
 n about the seminar\, please visit this webpage [t3://page?uid=1115].
X-ALT-DESC:<p>We introduce a model reduction approach for linear time-invar
 iant second-order systems based on positive real balanced truncation.<br /
 > Our method guarantees to preserve passivity of the reduced-order model a
 s well as the positive definiteness of the mass and stiffness matrices and
  admits an a priori gap metric error bound.<br /> Our construction of the 
 second-order reduced model is based on the consideration of an internal sy
 mmetry structure and the invariant zeros of the system and their sign-char
 acteristics for which we derive a normal form.<br /> The results are avail
 able in [1].</p>\n<p>[1] I. Dorschky\, T. Reis\, and M. Voigt. Balanced tr
 uncation model reduction for symmetric second order systems - a passivity-
 based approach. SIAM J. Matrix Anal. Appl.\, 42(4):1602--1635\, 2021.</p>\
 n<p>For further information about the seminar\, please visit this <a href=
 "t3://page?uid=1115" title="Opens internal link in current window">webpage
 </a>.</p>
DTEND;TZID=Europe/Zurich:20220422T120000
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