The application of generalized diagonal dominance to linear system stability theory

D. J. Limebeer

doi:10.1080/00207178208932886

The application of generalized diagonal dominance to linear system stability theory

D. J. Limebeer

University Engineering Department

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

52 Citations (Scopus)

Abstract

This paper shows that the well-known diagonal dominance condition associated with Kosenbrock's stability theorems is unnecessary and can be replaced by a less rest riel ivo generalized diagonal dominance condition. Similar results arc derived for generalised block diagonally dominant systems. Whenever possible graphical interpretations are given to facilitate the implementation of these ideas in computer aided design packages.

Original language	English
Pages (from-to)	185-212
Number of pages	28
Journal	International Journal of Control
Volume	36
Issue number	2
DOIs	https://doi.org/10.1080/00207178208932886
Publication status	Published - Aug 1982
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1080/00207178208932886

Cite this

@article{18a4681028f643229d15e47c132e63b8,

title = "The application of generalized diagonal dominance to linear system stability theory",

abstract = "This paper shows that the well-known diagonal dominance condition associated with Kosenbrock's stability theorems is unnecessary and can be replaced by a less rest riel ivo generalized diagonal dominance condition. Similar results arc derived for generalised block diagonally dominant systems. Whenever possible graphical interpretations are given to facilitate the implementation of these ideas in computer aided design packages.",

author = "Limebeer, {D. J.}",

year = "1982",

month = aug,

doi = "10.1080/00207178208932886",

language = "English",

volume = "36",

pages = "185--212",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - The application of generalized diagonal dominance to linear system stability theory

AU - Limebeer, D. J.

PY - 1982/8

Y1 - 1982/8

N2 - This paper shows that the well-known diagonal dominance condition associated with Kosenbrock's stability theorems is unnecessary and can be replaced by a less rest riel ivo generalized diagonal dominance condition. Similar results arc derived for generalised block diagonally dominant systems. Whenever possible graphical interpretations are given to facilitate the implementation of these ideas in computer aided design packages.

AB - This paper shows that the well-known diagonal dominance condition associated with Kosenbrock's stability theorems is unnecessary and can be replaced by a less rest riel ivo generalized diagonal dominance condition. Similar results arc derived for generalised block diagonally dominant systems. Whenever possible graphical interpretations are given to facilitate the implementation of these ideas in computer aided design packages.

UR - http://www.scopus.com/inward/record.url?scp=0020168083&partnerID=8YFLogxK

U2 - 10.1080/00207178208932886

DO - 10.1080/00207178208932886

M3 - Article

AN - SCOPUS:0020168083

SN - 0020-7179

VL - 36

SP - 185

EP - 212

JO - International Journal of Control

JF - International Journal of Control

IS - 2

ER -

The application of generalized diagonal dominance to linear system stability theory

Abstract

ASJC Scopus subject areas

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this