Convex synthesis of symmetric modifications to linear systems

Neil K. Dhingra, Mihailo Jovanovic

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

8 Scopus citations


We develop a method for designing symmetric modifications to linear dynamical systems for the purpose of optimizing H2 performance. For systems with symmetric dynamic matrices this problem is convex. While in the absence of symmetry the design problem is not convex in general, we show that the H2 norm of the symmetric part of the system provides an upper bound on the H2 norm of the original system. We then study the particular case where the modifications are given by a weighted sum of diagonal matrices and develop an efficient customized algorithm for computing the optimal solution. Finally, we illustrate the efficacy of our approach on a combination drug therapy example for HIV treatment.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479986842
StatePublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2015 American Control Conference, ACC 2015
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 2015 American Automatic Control Council.


  • combination drug therapy
  • networks
  • sparse controller synthesis
  • structured design
  • symmetric systems


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