https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Model_reduction_of_interconnected_linear_systems 2026-06-26T03:27:03Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=Model_reduction_of_interconnected_linear_systems&diff=19813&oldid=prev 2016-05-15T06:16:58Z

<p>htdb2wiki: creating page for 2008e_sm08-ocam.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Henrik Sandberg, Richard M Murray<br /> | title = Model reduction of interconnected linear systems <br /> | source = Optimal Control Applications and Methods, 2008 (to appear)<br /> | year = 2008<br /> | type = Preprint<br /> | funding = <br /> | url = http://www.cds.caltech.edu/~murray/preprints/sm08-ocam_s.pdf<br /> | abstract = The problem of model reduction of linear systems with certain interconnection structure is considered <br /> in this paper. To preserve the interconnection structure between subsystems in the reduction, special <br /> care needs to be taken. This problem is important and timely because of the recent focus on complex <br /> networked systems in control engineering. Two different model-reduction methods are introduced and <br /> compared in the paper. Both methods are extensions to the well-known balanced truncation method. <br /> Compared to earlier work in the area these methods use a more general linear fractional transformation <br /> framework, and utilize linear matrix inequalities. Furthermore, new approximation error bounds that <br /> reduce to classical bounds in special cases are derived. So-called structured Hankel singular values <br /> <br /> | flags = <br /> | tag = sm08-ocam<br /> | id = 2008e<br /> }}</div>

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