A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems

O.V. Iftime; H.J. Zwart; R.F. Curtain

doi:10.1080/00207170500080223

A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems

O.V. Iftime
, H.J. Zwart
, R.F. Curtain

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

10 Citations (Scopus)

6 Downloads (Pure)

Abstract

We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B,C) under the following assumptions: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible self-adjoint non-negative solution.

Original language	English
Pages (from-to)	505-520
Number of pages	16
Journal	International journal of control
Volume	78
Issue number	7
DOIs	https://doi.org/10.1080/00207170500080223
Publication status	Published - 10 May 2005

Keywords

2020 OA procedure
MSC-93C05
MSC-47N70
MSC-93C25

Access to Document

10.1080/00207170500080223

ArticleFinal published version, 216 KBLicence: Taverne

Cite this

@article{b8a4165c61b24ef0b6175a5762898d0f,

title = "A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems",

abstract = "We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B,C) under the following assumptions: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible self-adjoint non-negative solution.",

keywords = "2020 OA procedure, MSC-93C05, MSC-47N70, MSC-93C25",

author = "O.V. Iftime and H.J. Zwart and R.F. Curtain",

year = "2005",

month = may,

day = "10",

doi = "10.1080/00207170500080223",

language = "English",

volume = "78",

pages = "505--520",

journal = "International journal of control",

issn = "0020-7179",

publisher = "Taylor \& Francis",

number = "7",

}

TY - JOUR

T1 - A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems

AU - Iftime, O.V.

AU - Zwart, H.J.

AU - Curtain, R.F.

PY - 2005/5/10

Y1 - 2005/5/10

N2 - We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B,C) under the following assumptions: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible self-adjoint non-negative solution.

AB - We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B,C) under the following assumptions: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible self-adjoint non-negative solution.

KW - 2020 OA procedure

KW - MSC-93C05

KW - MSC-47N70

KW - MSC-93C25

U2 - 10.1080/00207170500080223

DO - 10.1080/00207170500080223

M3 - Article

SN - 0020-7179

VL - 78

SP - 505

EP - 520

JO - International journal of control

JF - International journal of control

IS - 7

ER -

A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this