A Kalman decomposition for a class of uncertain linear systems

Ian R. Petersen

doi:10.1109/CDC.2007.4434544

A Kalman decomposition for a class of uncertain linear systems

Ian R. Petersen^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability which were introduced in previous papers. For a class of uncertain linear systems, the paper presents a new characterization of the possibly controllable states. When combined with previous geometric results on robust unobservability, this leads to a Kalman type decomposition for uncertain linear systems.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2141-2147
Number of pages	7
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434544
Publication status	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

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10.1109/CDC.2007.4434544

Cite this

@inproceedings{a99b2eb3605b4254b064e746b3d9666f,

title = "A Kalman decomposition for a class of uncertain linear systems",

abstract = "This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability which were introduced in previous papers. For a class of uncertain linear systems, the paper presents a new characterization of the possibly controllable states. When combined with previous geometric results on robust unobservability, this leads to a Kalman type decomposition for uncertain linear systems.",

author = "Petersen, \{Ian R.\}",

year = "2007",

doi = "10.1109/CDC.2007.4434544",

language = "English",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2141--2147",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Petersen, IR 2007, A Kalman decomposition for a class of uncertain linear systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434544, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2141-2147, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434544

A Kalman decomposition for a class of uncertain linear systems. / Petersen, Ian R.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2141-2147 4434544 (Proceedings of the IEEE Conference on Decision and Control).

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

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PY - 2007

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AB - This paper considers the structure of uncertain linear systems building on concepts of robust unobservability and possible controllability which were introduced in previous papers. For a class of uncertain linear systems, the paper presents a new characterization of the possibly controllable states. When combined with previous geometric results on robust unobservability, this leads to a Kalman type decomposition for uncertain linear systems.

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DO - 10.1109/CDC.2007.4434544

M3 - Conference Paper

AN - SCOPUS:62749117630

SN - 1424414989

SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2141

EP - 2147

BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

A Kalman decomposition for a class of uncertain linear systems

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