A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems

Orest Iftime; Ruth Curtain; Hans Zwart

doi:10.1109/CDC.2003.1272880

A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems

Orest Iftime^*
, Ruth Curtain
, Hans Zwart

^*Corresponding author for this work

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

1 Citation (Scopus)

8 Downloads (Pure)

Abstract

We obtain a complete classification of all self-adjoint solution of the control algebraic Riccati equation for infinite-dimensional systems under the following assumptions: the system is output stabilizable, strongly detectable and the filter Riccati equation has an invertible self-adjoint nonnegative solution.

Original language	English
Title of host publication	42nd IEEE International Conference on Decision and Control 2003
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	1836-1841
Number of pages	6
Volume	2
ISBN (Print)	0-7803-7924-1
DOIs	https://doi.org/10.1109/CDC.2003.1272880
Publication status	Published - 2003
Event	42nd IEEE Conference on Decision and Control, CDC 2003 - The Hyatt Regency Resort & Spa, Maui, United States Duration: 9 Dec 2003 → 12 Dec 2003 Conference number: 42

Publication series

Name	IEEE Conference on Decision and Control
Publisher	IEEE
Volume	2003
ISSN (Print)	0191-2216

Conference

Conference	42nd IEEE Conference on Decision and Control, CDC 2003
Abbreviated title	CDC
Country/Territory	United States
City	Maui
Period	9/12/03 → 12/12/03

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10.1109/CDC.2003.1272880

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title = "A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems",

abstract = "We obtain a complete classification of all self-adjoint solution of the control algebraic Riccati equation for infinite-dimensional systems under the following assumptions: the system is output stabilizable, strongly detectable and the filter Riccati equation has an invertible self-adjoint nonnegative solution.",

author = "Orest Iftime and Ruth Curtain and Hans Zwart",

year = "2003",

doi = "10.1109/CDC.2003.1272880",

language = "English",

isbn = "0-7803-7924-1",

volume = "2",

series = "IEEE Conference on Decision and Control",

publisher = "IEEE",

pages = "1836--1841",

booktitle = "42nd IEEE International Conference on Decision and Control 2003",

address = "United States",

note = "42nd IEEE Conference on Decision and Control, CDC 2003, CDC ; Conference date: 09-12-2003 Through 12-12-2003",

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Iftime, O, Curtain, R & Zwart, H 2003, A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems. in 42nd IEEE International Conference on Decision and Control 2003. vol. 2, IEEE Conference on Decision and Control, vol. 2003, IEEE, Piscataway, NJ, pp. 1836-1841, 42nd IEEE Conference on Decision and Control, CDC 2003, Maui, Hawaii, United States, 9/12/03. https://doi.org/10.1109/CDC.2003.1272880

A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems. / Iftime, Orest; Curtain, Ruth; Zwart, Hans.
42nd IEEE International Conference on Decision and Control 2003. Vol. 2 Piscataway, NJ: IEEE, 2003. p. 1836-1841 (IEEE Conference on Decision and Control; Vol. 2003).

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

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AU - Iftime, Orest

AU - Curtain, Ruth

AU - Zwart, Hans

N1 - Conference code: 42

PY - 2003

Y1 - 2003

N2 - We obtain a complete classification of all self-adjoint solution of the control algebraic Riccati equation for infinite-dimensional systems under the following assumptions: the system is output stabilizable, strongly detectable and the filter Riccati equation has an invertible self-adjoint nonnegative solution.

AB - We obtain a complete classification of all self-adjoint solution of the control algebraic Riccati equation for infinite-dimensional systems under the following assumptions: the system is output stabilizable, strongly detectable and the filter Riccati equation has an invertible self-adjoint nonnegative solution.

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U2 - 10.1109/CDC.2003.1272880

DO - 10.1109/CDC.2003.1272880

M3 - Conference contribution

AN - SCOPUS:1542290151

SN - 0-7803-7924-1

VL - 2

T3 - IEEE Conference on Decision and Control

SP - 1836

EP - 1841

BT - 42nd IEEE International Conference on Decision and Control 2003

PB - IEEE

CY - Piscataway, NJ

T2 - 42nd IEEE Conference on Decision and Control, CDC 2003

Y2 - 9 December 2003 through 12 December 2003

ER -

A classification of all solutions of the Algebraic Riccati Equations for Infinite-Dimensional systems

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