OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.

Leonard M. Silverman; Maamar Bettayeb

OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.

Leonard M. Silverman^*
, Maamar Bettayeb

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to conference › Paper › peer-review

4 Scopus citations

Abstract

Based on recently developed techniques of system balancing, the Adamjan-Arov-Krein approximation theory is shown to be applicable to the model reduction problem. For finite dimensional systems, the existence results of V. M. Adamjan et al. are made concrete, and explicit expressions and algorithms are obtained for finding approximations of any specified order. These approximations are optimal in a well defined sense.

Original language	English
State	Published - 1981

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title = "OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.",

abstract = "Based on recently developed techniques of system balancing, the Adamjan-Arov-Krein approximation theory is shown to be applicable to the model reduction problem. For finite dimensional systems, the existence results of V. M. Adamjan et al. are made concrete, and explicit expressions and algorithms are obtained for finding approximations of any specified order. These approximations are optimal in a well defined sense.",

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year = "1981",

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T1 - OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.

AU - Silverman, Leonard M.

AU - Bettayeb, Maamar

PY - 1981

Y1 - 1981

N2 - Based on recently developed techniques of system balancing, the Adamjan-Arov-Krein approximation theory is shown to be applicable to the model reduction problem. For finite dimensional systems, the existence results of V. M. Adamjan et al. are made concrete, and explicit expressions and algorithms are obtained for finding approximations of any specified order. These approximations are optimal in a well defined sense.

AB - Based on recently developed techniques of system balancing, the Adamjan-Arov-Krein approximation theory is shown to be applicable to the model reduction problem. For finite dimensional systems, the existence results of V. M. Adamjan et al. are made concrete, and explicit expressions and algorithms are obtained for finding approximations of any specified order. These approximations are optimal in a well defined sense.

UR - https://www.scopus.com/pages/publications/0019337522

M3 - Paper

AN - SCOPUS:0019337522

ER -

OPTIMAL APPROXIMATION OF LINEAR SYSTEMS.

Abstract

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