TY - GEN
T1 - The operator algebra of almost toeplitz matrices and the optimal control of large-scale systems
AU - Fardad, Makan
PY - 2009
Y1 - 2009
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.
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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 -