The operator algebra of almost toeplitz matrices and the optimal control of large-scale systems

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

4 Scopus citations

Abstract

We propose a definition of almost Toeplitz matrices as matrices with off-diagonal decay that are close to begin Toeplitz in their center columns and decrease in Toeplitzness toward their first and last columns. We prove that such matrices form an operator algebra under matrix addition and multiplication. We use this framework to show that algebraic Riccati equations with almost Toeplitz coefficient matrices have almost Toeplitz solutions.

Original languageEnglish (US)
Title of host publication2009 American Control Conference, ACC 2009
Pages854-859
Number of pages6
DOIs
StatePublished - Nov 23 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: Jun 10 2009Jun 12 2009

Publication series

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

Other

Other2009 American Control Conference, ACC 2009
CountryUnited States
CitySt. Louis, MO
Period6/10/096/12/09

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Fardad, M. (2009). The operator algebra of almost toeplitz matrices and the optimal control of large-scale systems. In 2009 American Control Conference, ACC 2009 (pp. 854-859). [5160148] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2009.5160148