C*-algebra of strong limit power functions

Chuanyi Zhang; Chenhui Meng

doi:10.1109/TAC.2006.875016

C*-algebra of strong limit power functions

Chuanyi Zhang^*
, Chenhui Meng

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

9 Scopus citations

Abstract

Motivated by problems in robust control of power signal set H₂ (e.g,, H₂ is not a vector space, Fourier analysis cannot be carried out on H₂ in general), we study those functions in H₂ which we call strong limit power. We show that the set of all such functions is a sufficiently large C* -algebra. Fourier Analysis is carried out on the functions. In particular, the uniqueness of the Fourier expansion of a strong limit power function is established. Finally we point out how to analyze and reconstruct such functions.

Original language	English
Pages (from-to)	828-831
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2006.875016
State	Published - May 2006

Keywords

Compactification
Fourier series
Gelfand space
Strong limit power function

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10.1109/TAC.2006.875016

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AU - Zhang, Chuanyi

AU - Meng, Chenhui

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AB - Motivated by problems in robust control of power signal set H2 (e.g,, H2 is not a vector space, Fourier analysis cannot be carried out on H2 in general), we study those functions in H2 which we call strong limit power. We show that the set of all such functions is a sufficiently large C* -algebra. Fourier Analysis is carried out on the functions. In particular, the uniqueness of the Fourier expansion of a strong limit power function is established. Finally we point out how to analyze and reconstruct such functions.

KW - Compactification

KW - Fourier series

KW - Gelfand space

KW - Strong limit power function

UR - https://www.scopus.com/pages/publications/33646919106

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DO - 10.1109/TAC.2006.875016

M3 - 文章

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SP - 828

EP - 831

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 5

ER -

C*-algebra of strong limit power functions

Abstract

Keywords

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