On the balanced truncation of LTV systems

Mazen Farhood, Geir E. Dullerud

Research output: Contribution to journalArticlepeer-review

Abstract

This note furthers results on the balanced truncation of stable linear time-varying discrete-time systems. The main result contributes better error bounds than the currently available ones in certain model reduction scenarios; this is demonstrated in an example of a four-mass translational system. Also, this note gives new finite error bounds for the balanced truncation of stable eventually periodic models.

Original languageEnglish (US)
Pages (from-to)315-320
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume51
Issue number2
DOIs
StatePublished - Feb 2006

Keywords

  • Balanced truncation
  • Model reduction
  • Time-varying systems

ASJC Scopus subject areas

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

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