Decentralized stabilization with symmetric topologies

A. Kirkoryan, M. A. Belabbas

Research output: Contribution to journalConference articlepeer-review


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)
Article number7039569
Pages (from-to)1347-1352
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Issue numberFebruary
StatePublished - Jan 1 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

ASJC Scopus subject areas

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

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