Some properties of generalized inverse of non-square systems

Shenpeng Li; Jingxin Zhangt

doi:10.1109/CDC.2013.6760909

Some properties of generalized inverse of non-square systems

Shenpeng Li, Jingxin Zhangt

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

2 Citations (Scopus)

Abstract

Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H₂ norm inverse, the minimality of the H₂ norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.

Original language	English
Title of host publication	Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013
Subtitle of host publication	December 10-13, 2013, Firenze, Italy
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	6446-6451
Number of pages	6
ISBN (Electronic)	9781467357173
ISBN (Print)	9781467357142
DOIs	https://doi.org/10.1109/CDC.2013.6760909
Publication status	Published - 2013
Event	IEEE Conference on Decision and Control 2013 - Florence, Italy Duration: 10 Dec 2013 → 13 Dec 2013 Conference number: 52nd https://ieeexplore.ieee.org/xpl/conhome/6749719/proceeding (Proceedings)

Conference

Conference	IEEE Conference on Decision and Control 2013
Abbreviated title	CDC 2013
Country/Territory	Italy
City	Florence
Period	10/12/13 → 13/12/13
Internet address	https://ieeexplore.ieee.org/xpl/conhome/6749719/proceeding (Proceedings)

Access to Document

10.1109/CDC.2013.6760909

Cite this

@inproceedings{9b22bc94f1574e2a91edaf0cd0a3f8a8,

title = "Some properties of generalized inverse of non-square systems",

abstract = "Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H2 norm inverse, the minimality of the H2 norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.",

author = "Shenpeng Li and Jingxin Zhangt",

year = "2013",

doi = "10.1109/CDC.2013.6760909",

language = "English",

isbn = "9781467357142",

pages = "6446--6451",

booktitle = "Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States of America",

note = "IEEE Conference on Decision and Control 2013, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

url = "https://ieeexplore.ieee.org/xpl/conhome/6749719/proceeding",

}

Li, S & Zhangt, J 2013, Some properties of generalized inverse of non-square systems. in Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013: December 10-13, 2013, Firenze, Italy. IEEE, Institute of Electrical and Electronics Engineers, pp. 6446-6451, IEEE Conference on Decision and Control 2013, Florence, Italy, 10/12/13. https://doi.org/10.1109/CDC.2013.6760909

Some properties of generalized inverse of non-square systems. / Li, Shenpeng; Zhangt, Jingxin.
Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013: December 10-13, 2013, Firenze, Italy. IEEE, Institute of Electrical and Electronics Engineers, 2013. p. 6446-6451.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - Some properties of generalized inverse of non-square systems

AU - Li, Shenpeng

AU - Zhangt, Jingxin

N1 - Conference code: 52nd

PY - 2013

Y1 - 2013

N2 - Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H2 norm inverse, the minimality of the H2 norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.

AB - Generalized inverse of non-square MIMO system arise from many application problems. This paper investigates some fundamental properties of the generalized inverse. These include the necessary and sufficient conditions for the minimum H2 norm inverse, the minimality of the H2 norms for the rows/columns of the inverse, and the redundancy and design freedom associated with the rows/columns of the generalized inverse. An application to MIMO communication system is presented to demonstrate the usefulness and potential of these properties.

UR - http://www.scopus.com/inward/record.url?scp=84902313272&partnerID=8YFLogxK

U2 - 10.1109/CDC.2013.6760909

DO - 10.1109/CDC.2013.6760909

M3 - Conference Paper

AN - SCOPUS:84902313272

SN - 9781467357142

SP - 6446

EP - 6451

BT - Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control 2013

Y2 - 10 December 2013 through 13 December 2013

ER -

Some properties of generalized inverse of non-square systems

Abstract

Conference

Access to Document

Other files and links

Cite this