Lyapunov iteration and equation characterizations for unobservable subspace

Zhao Yan Li; Yong Wang

doi:10.1016/j.aml.2009.09.014

Lyapunov iteration and equation characterizations for unobservable subspace

Zhao Yan Li^*
, Yong Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

This note is concerned with the unobservable subspace of a linear system and some Lyapunov iteration and equations. It is shown that the unobservable subspace can be characterized by the Lyapunov iteration and equations defined in the paper. The results generalize some standard results on this topic and are expected to take fundamental functions in control system theory. Both continuous-time and discrete-time systems are considered. Numerical examples show the effectiveness of the proposed results.

Original language	English
Pages (from-to)	212-218
Number of pages	7
Journal	Applied Mathematics Letters
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2009.09.014
State	Published - Feb 2010

Keywords

Lyapunov equation
Lyapunov iteration
Observability
Unobservable subspace

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10.1016/j.aml.2009.09.014

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abstract = "This note is concerned with the unobservable subspace of a linear system and some Lyapunov iteration and equations. It is shown that the unobservable subspace can be characterized by the Lyapunov iteration and equations defined in the paper. The results generalize some standard results on this topic and are expected to take fundamental functions in control system theory. Both continuous-time and discrete-time systems are considered. Numerical examples show the effectiveness of the proposed results.",

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AU - Wang, Yong

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N2 - This note is concerned with the unobservable subspace of a linear system and some Lyapunov iteration and equations. It is shown that the unobservable subspace can be characterized by the Lyapunov iteration and equations defined in the paper. The results generalize some standard results on this topic and are expected to take fundamental functions in control system theory. Both continuous-time and discrete-time systems are considered. Numerical examples show the effectiveness of the proposed results.

AB - This note is concerned with the unobservable subspace of a linear system and some Lyapunov iteration and equations. It is shown that the unobservable subspace can be characterized by the Lyapunov iteration and equations defined in the paper. The results generalize some standard results on this topic and are expected to take fundamental functions in control system theory. Both continuous-time and discrete-time systems are considered. Numerical examples show the effectiveness of the proposed results.

KW - Lyapunov equation

KW - Lyapunov iteration

KW - Observability

KW - Unobservable subspace

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DO - 10.1016/j.aml.2009.09.014

M3 - 文章

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VL - 23

SP - 212

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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Lyapunov iteration and equation characterizations for unobservable subspace

Abstract

Keywords

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