SKEW-PRIME POLYNOMIAL MATRICES AND INVARIANT SUBSPACES.

Pramod P. Khargonekar; Tryphon T Georgiou; A. Bulent Ozguler

SKEW-PRIME POLYNOMIAL MATRICES AND INVARIANT SUBSPACES.

Pramod P. Khargonekar, Tryphon T Georgiou, A. Bulent Ozguler

Electrical and Computer Engineering

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

Abstract

The skew-primeness of square, nonsingular polynomial matrices is shown to be directly connected to the decomposition of a vector space relative to an endomorphism. Generalization of this result to the case of rectangular polynomial matrices reveals a clear connection between the conditions for the solvabilility of the problem of output regulation with internal stability, obtained through the geometric (state-space) approach, and the polynomial matrix approach to linear system theory.

Original language	English (US)
Pages	139-143
Number of pages	5
State	Published - Jan 1 1981
Event	Unknown conference - Santa Monica, CA, USA Duration: Aug 5 1981 → Aug 7 1981

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Other	Unknown conference
City	Santa Monica, CA, USA
Period	8/5/81 → 8/7/81

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title = "SKEW-PRIME POLYNOMIAL MATRICES AND INVARIANT SUBSPACES.",

abstract = "The skew-primeness of square, nonsingular polynomial matrices is shown to be directly connected to the decomposition of a vector space relative to an endomorphism. Generalization of this result to the case of rectangular polynomial matrices reveals a clear connection between the conditions for the solvabilility of the problem of output regulation with internal stability, obtained through the geometric (state-space) approach, and the polynomial matrix approach to linear system theory.",

author = "Khargonekar, {Pramod P.} and Georgiou, {Tryphon T} and Ozguler, {A. Bulent}",

year = "1981",

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language = "English (US)",

pages = "139--143",

note = "Unknown conference ; Conference date: 05-08-1981 Through 07-08-1981",

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T1 - SKEW-PRIME POLYNOMIAL MATRICES AND INVARIANT SUBSPACES.

AU - Khargonekar, Pramod P.

AU - Georgiou, Tryphon T

AU - Ozguler, A. Bulent

PY - 1981/1/1

Y1 - 1981/1/1

N2 - The skew-primeness of square, nonsingular polynomial matrices is shown to be directly connected to the decomposition of a vector space relative to an endomorphism. Generalization of this result to the case of rectangular polynomial matrices reveals a clear connection between the conditions for the solvabilility of the problem of output regulation with internal stability, obtained through the geometric (state-space) approach, and the polynomial matrix approach to linear system theory.

AB - The skew-primeness of square, nonsingular polynomial matrices is shown to be directly connected to the decomposition of a vector space relative to an endomorphism. Generalization of this result to the case of rectangular polynomial matrices reveals a clear connection between the conditions for the solvabilility of the problem of output regulation with internal stability, obtained through the geometric (state-space) approach, and the polynomial matrix approach to linear system theory.

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UR - http://www.scopus.com/inward/citedby.url?scp=0019697426&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0019697426

SP - 139

EP - 143

T2 - Unknown conference

Y2 - 5 August 1981 through 7 August 1981

ER -

SKEW-PRIME POLYNOMIAL MATRICES AND INVARIANT SUBSPACES.

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