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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v28.i5-6.150
pages 116-130

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

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


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.

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