https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Compositional_stability_analysis_based_on_dual_decomposition 2026-07-27T05:47:38Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=Compositional_stability_analysis_based_on_dual_decomposition&diff=19796&oldid=prev 2016-05-15T06:16:42Z

<p>htdb2wiki: creating page for 2009a_tpm09-cdc.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Ufuk Topcu, Andrew K Packard, Richard M Murray<br /> | title = Compositional stability analysis based on dual decomposition<br /> | source = Conference on Decision and Control (CDC), 2009 (Submitted)<br /> | year = 2009<br /> | type = Preprint<br /> | funding = <br /> | url = http://www.cds.caltech.edu/~murray/preprints/tpm09-cdc_s.pdf<br /> | abstract = We propose a compositional stability analysis methodology for verifying properties of systems that are interconnections of multiple subsystems. The proposed method assembles stability certificates for the interconnected system based on the certificates for the input-output properties of the subsystems. The hierarchy in the analysis is achieved by utilizing dual decomposition ideas in optimization. Decoupled subproblems establish subsystem level input-output properties whereas the ``master&#039;&#039; problem imposes and updates the conditions on the subproblems toward ensuring interconnected system level stability properties. Both global stabilityanalysis and region-of-attraction analysis are discussed. <br /> | flags = <br /> | tag = tpm09-cdc<br /> | id = 2009a<br /> }}</div>

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