Decentralized stabilization with symmetric topologies

A. Kirkoryan, M. A. Belabbas

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 languageEnglish (US)
Title of host publication53rd IEEE Conference on Decision and Control,CDC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479977468
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Other2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/TerritoryUnited States
CityLos Angeles

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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