Decoupling transformation for weakly coupled linear systems

Zoran Gajic; Xu Emin Shen

doi:10.1080/00207178908953443

Decoupling transformation for weakly coupled linear systems

Zoran Gajic, Xu Emin Shen

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

The non-singular transformation that completely decouples a weakly coupled linear system under non-restrictive conditions is defined. The transformation matrices are obtained from two algebraic matrix equations. Algorithms that efficiently generate solutions to these equations are derived. The proposed transformation also completely decouples the corresponding Lyapunov matrix differential equation.

Original language	English (US)
Pages (from-to)	1517-1523
Number of pages	7
Journal	International Journal of Control
Volume	50
Issue number	4
DOIs	https://doi.org/10.1080/00207178908953443
State	Published - Oct 1989

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications

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10.1080/00207178908953443

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title = "Decoupling transformation for weakly coupled linear systems",

abstract = "The non-singular transformation that completely decouples a weakly coupled linear system under non-restrictive conditions is defined. The transformation matrices are obtained from two algebraic matrix equations. Algorithms that efficiently generate solutions to these equations are derived. The proposed transformation also completely decouples the corresponding Lyapunov matrix differential equation.",

author = "Zoran Gajic and Shen, {Xu Emin}",

year = "1989",

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volume = "50",

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AU - Shen, Xu Emin

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AB - The non-singular transformation that completely decouples a weakly coupled linear system under non-restrictive conditions is defined. The transformation matrices are obtained from two algebraic matrix equations. Algorithms that efficiently generate solutions to these equations are derived. The proposed transformation also completely decouples the corresponding Lyapunov matrix differential equation.

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JF - International Journal of Control

IS - 4

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Decoupling transformation for weakly coupled linear systems

Abstract

All Science Journal Classification (ASJC) codes

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