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	<id>https://murray.cds.caltech.edu/index.php?action=history&amp;feed=atom&amp;title=Approximation_of_Subnetwork_Models_using_Frequency-Domain_Data</id>
	<title>Approximation of Subnetwork Models using Frequency-Domain Data - Revision history</title>
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	<updated>2026-05-07T22:02:02Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://murray.cds.caltech.edu/index.php?title=Approximation_of_Subnetwork_Models_using_Frequency-Domain_Data&amp;diff=19856&amp;oldid=prev</id>
		<title>Murray: htdb2wiki: creating page for 2006c_sm06-cdc.html</title>
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		<updated>2016-05-15T06:17:41Z</updated>

		<summary type="html">&lt;p&gt;htdb2wiki: creating page for 2006c_sm06-cdc.html&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{HTDB paper&lt;br /&gt;
| authors = Henrik Sandberg, Richard M. Murray&lt;br /&gt;
| title = Approximation of Subnetwork Models using Frequency-Domain Data&lt;br /&gt;
| source = Submitted, 2006 Conference on Decision and Control&lt;br /&gt;
| year = 2006&lt;br /&gt;
| type = Conference Paper&lt;br /&gt;
| funding = IST/CMI&lt;br /&gt;
| url = http://www.cds.caltech.edu/~murray/preprints/sm06-cdc.pdf&lt;br /&gt;
| abstract = &lt;br /&gt;
In this paper, we approximate models of interconnected&lt;br /&gt;
systems that are to be used for decentralized control&lt;br /&gt;
design. The suggested approach is based on approximation of&lt;br /&gt;
so-called subnetwork models. A subnetwork model is a model&lt;br /&gt;
of the interconnected system, as seen from one specific&lt;br /&gt;
position&lt;br /&gt;
in the network. The simplification is done by using&lt;br /&gt;
weighted model reduction, and several approximation&lt;br /&gt;
criteria&lt;br /&gt;
are given. A new method for weighted model reduction is&lt;br /&gt;
used. &lt;br /&gt;
The method is based on a combination of known techniques&lt;br /&gt;
that use semidefinite programming and frequency-data&lt;br /&gt;
samples&lt;br /&gt;
of transfer functions. The method is guaranteed to preserve&lt;br /&gt;
stability and does not depend strongly on the order of the&lt;br /&gt;
original model. This is particularly important for large&lt;br /&gt;
interconnected systems. Two examples are given to&lt;br /&gt;
illustrate the technique. &lt;br /&gt;
| flags = &lt;br /&gt;
| tag = sm06-cdc&lt;br /&gt;
| id = 2006c&lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>Murray</name></author>
	</entry>
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