Decentralized stabilization with symmetric topologies

A. Kirkoryan; M. A. Belabbas

doi:10.1109/CDC.2014.7039569

Decentralized stabilization with symmetric topologies

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A sparse matrix space is a vector space of matrices with entries that are either zero or arbitrary real. Letting the pattern of zero and arbitrary entries define an adjacency matrix (by setting the non-zero entries to one), we can attach a graph to such vector spaces and think of this graph as describing the decentralization structure of a control system. We want to determine whether this topology can sustain stable dynamics or, equivalently, whether the corresponding sparse matrix space contains stable matrices. We present in this paper a complete characterization the symmetric sparse matrix spaces that contain stable matrices.

Original language	English (US)
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1347-1352
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039569
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	12/15/14 → 12/17/14

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC.2014.7039569

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Kirkoryan, A., & Belabbas, M. A. (2014). Decentralized stabilization with symmetric topologies. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 1347-1352). Article 7039569 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039569

Decentralized stabilization with symmetric topologies. / Kirkoryan, A.; Belabbas, M. A.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1347-1352 7039569 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kirkoryan, A & Belabbas, MA 2014, Decentralized stabilization with symmetric topologies. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039569, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 1347-1352, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 12/15/14. https://doi.org/10.1109/CDC.2014.7039569

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Decentralized stabilization with symmetric topologies

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