Snapshot-based balanced truncation for linear time-periodic systems

Zhanhua Ma, Clarence Worth Rowley, Gilead Tadmor

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, linear time-periodic systems. The algorithm is applicable to stable (including neutrally stable) systems with very high dimension, allowing either the output or the input to be very high dimensional, as well. This algorithm is illustrated with a numerical example.

Original languageEnglish (US)
Article number5382499
Pages (from-to)469-473
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number2
StatePublished - Feb 2010

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


  • Balanced truncation
  • Linear time-periodic systems
  • Model reduction


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