TY - GEN

T1 - The operator algebra of almost toeplitz matrices and the optimal control of large-scale systems

AU - Fardad, Makan

PY - 2009/11/23

Y1 - 2009/11/23

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70449644518&partnerID=8YFLogxK

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U2 - 10.1109/ACC.2009.5160148

DO - 10.1109/ACC.2009.5160148

M3 - Conference contribution

AN - SCOPUS:70449644518

SN - 9781424445240

T3 - Proceedings of the American Control Conference

SP - 854

EP - 859

BT - 2009 American Control Conference, ACC 2009

T2 - 2009 American Control Conference, ACC 2009

Y2 - 10 June 2009 through 12 June 2009

ER -