The H2 Control Problem for Quadratically Invariant SystemsWith Delays

Andrew Lamperski, John C. Doyle

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


This technical note gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensional quadratic program. A recursive state-space method for computing the optimal controller based on vectorization is given.

Original languageEnglish (US)
Article number6930762
Pages (from-to)1945-1950
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - Jul 1 2015

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.


  • Decentralized control
  • optimal control
  • quadratic invariance


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