Graph topology and subsystem centrality in approximately dissipative system interconnections

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Original languageEnglish
Pages7441-7447
Number of pages7
Publication statusPublished - Dec 2019
Event2019 IEEE 58th Conference on Decision and Control (CDC) - Nice, France
Duration: 11 Dec 201913 Dec 2019

Conference

Conference2019 IEEE 58th Conference on Decision and Control (CDC)
Period11 Dec 201913 Dec 2019

Abstract

The interconnection of subsystems through coupling costs is considered, where the local subsystems exhibit a certain dissipativity property related to operating costs frequently considered in an economic MPC context. While approximate dissipativity of the resulting overall system has previously been established, in this work we characterize in terms of the interconnection topology the impact of the individual subsystems on the resulting approximate dissipativity property of the overall system. This induces centrality indices for the separate subsystems with respect to certain performance measures related to dissipativity. The results are illustrated by numerical examples.

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Cite this

Graph topology and subsystem centrality in approximately dissipative system interconnections. / Köhler, Philipp N.; Müller, Matthias A.; Allgöwer, Frank.
2019. 7441-7447 Paper presented at 2019 IEEE 58th Conference on Decision and Control (CDC).

Research output: Contribution to conferencePaperResearchpeer review

Köhler, PN, Müller, MA & Allgöwer, F 2019, 'Graph topology and subsystem centrality in approximately dissipative system interconnections', Paper presented at 2019 IEEE 58th Conference on Decision and Control (CDC), 11 Dec 2019 - 13 Dec 2019 pp. 7441-7447. https://doi.org/10.1109/CDC40024.2019.9029400
Köhler, P. N., Müller, M. A., & Allgöwer, F. (2019). Graph topology and subsystem centrality in approximately dissipative system interconnections. 7441-7447. Paper presented at 2019 IEEE 58th Conference on Decision and Control (CDC). https://doi.org/10.1109/CDC40024.2019.9029400
Köhler PN, Müller MA, Allgöwer F. Graph topology and subsystem centrality in approximately dissipative system interconnections. 2019. Paper presented at 2019 IEEE 58th Conference on Decision and Control (CDC). doi: 10.1109/CDC40024.2019.9029400
Köhler, Philipp N. ; Müller, Matthias A. ; Allgöwer, Frank. / Graph topology and subsystem centrality in approximately dissipative system interconnections. Paper presented at 2019 IEEE 58th Conference on Decision and Control (CDC).7 p.
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note = "Funding Information: Philipp N. K{\"o}hler and Frank Allg{\"o}wer are with the Institute for Systems Theory and Automatic Control, University of Stuttgart, 70550 Stuttgart, Germany. They thank the German Research Foundation (DFG) for support of this work within grant AL 316/11-2 and within the German Excellence Strategy under grant EXC-2075. {koehler,allgower}@ist.uni-stuttgart.de Matthias A. M{\"u}ller is with the Institute of Automatic Control, Leibniz University Hannover, 30167 Hannover, Germany. mueller@irt.uni-hannover.de; 2019 IEEE 58th Conference on Decision and Control (CDC) ; Conference date: 11-12-2019 Through 13-12-2019",
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