Factorizing about the Imaginary Axis Matrices Which Do Not Satisfy the Coercitivity

Vladimir B. Larin

doi:10.1615/JAutomatInfScien.v28.i5-6.150

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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Factorizing about the Imaginary Axis Matrices Which Do Not Satisfy the Coercitivity

Volumen 28, Edición 5-6, 1996, pp. 116-130

DOI: 10.1615/JAutomatInfScien.v28.i5-6.150

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Vladimir B. Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

SINOPSIS

The problem of factorization of a rational matrix about the imaginary axis is examined. Attention is concentrated on the case in which the matrix to be factored becomes singular at an infinitely distant point on the imaginary axis. The factorization algorithm is based on the construction of a stabilizing solution of a matrix algebraic Riccati equation. A generalized variant of the Anderson-Moore factorization identity is presented.

PALABRAS CLAVE: Algebraic Riccati equation, J-factorization, Anderson-Moore identity

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