On the balanced truncation of LTV systems

Mazen Farhood; Geir E. Dullerud

doi:10.1109/TAC.2005.863521

On the balanced truncation of LTV systems

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	315-320
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2005.863521
State	Published - 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

Online availability

10.1109/TAC.2005.863521

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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.",

keywords = "Balanced truncation, Model reduction, Time-varying systems",

author = "Mazen Farhood and Dullerud, {Geir E.}",

note = "Funding Information: Manuscript received May 3, 2004; revised March 18, 2005 and October 6, 2005. Recommended by Asociate Editor U. Jonsson. This work was supported by the National Science Foundation under Grant ITR-0085917 and by the Air Force Office of Scientific research MURI Grant F49620-02-1-0325.",

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PY - 2006/2

Y1 - 2006/2

N2 - 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.

AB - 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.

KW - Balanced truncation

KW - Model reduction

KW - Time-varying systems

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On the balanced truncation of LTV systems

Abstract

Keywords

ASJC Scopus subject areas

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