The Hilbert-Schmidt property of feedback operators

Ruth Curtain; Kalle Mikkola; Arnol Sasane

doi:10.1016/j.jmaa.2006.07.037

The Hilbert-Schmidt property of feedback operators

Ruth Curtain
, Kalle Mikkola
, Arnol Sasane^*

^*Corresponding author for this work

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

11 Citations (Scopus)

54 Downloads (Pure)

Abstract

In this article we prove new sufficient conditions under which the feedback operator associated with the Linear Quadratic Regulator control design for distributed parameter systems is nuclear or Hilbert-Schmidt. Examples illustrating the main results are also given. (c) 2006 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1145-1160
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	329
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2006.07.037
Publication status	Published - 15-May-2007

Keywords

Hilbert-Schmidt
nuclear
analytic semigroups
Linear Quadratic Regulator (LQR) control
SYSTEMS
APPROXIMATION

Access to Document

10.1016/j.jmaa.2006.07.037

The Hilbert-Schmidt property of feedback operatorsFinal publisher's version, 207 KBLicence: Elsevier

Handle.net

Persistent link

Cite this

@article{875a2da9b0614a1db84776bcc5bcd937,

title = "The Hilbert-Schmidt property of feedback operators",

abstract = "In this article we prove new sufficient conditions under which the feedback operator associated with the Linear Quadratic Regulator control design for distributed parameter systems is nuclear or Hilbert-Schmidt. Examples illustrating the main results are also given. (c) 2006 Elsevier Inc. All rights reserved.",

keywords = "Hilbert-Schmidt, nuclear, analytic semigroups, Linear Quadratic Regulator (LQR) control, SYSTEMS, APPROXIMATION",

author = "Ruth Curtain and Kalle Mikkola and Arnol Sasane",

year = "2007",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2006.07.037",

language = "English",

volume = "329",

pages = "1145--1160",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",

number = "2",

}

TY - JOUR

T1 - The Hilbert-Schmidt property of feedback operators

AU - Curtain, Ruth

AU - Mikkola, Kalle

AU - Sasane, Arnol

PY - 2007/5/15

Y1 - 2007/5/15

N2 - In this article we prove new sufficient conditions under which the feedback operator associated with the Linear Quadratic Regulator control design for distributed parameter systems is nuclear or Hilbert-Schmidt. Examples illustrating the main results are also given. (c) 2006 Elsevier Inc. All rights reserved.

AB - In this article we prove new sufficient conditions under which the feedback operator associated with the Linear Quadratic Regulator control design for distributed parameter systems is nuclear or Hilbert-Schmidt. Examples illustrating the main results are also given. (c) 2006 Elsevier Inc. All rights reserved.

KW - Hilbert-Schmidt

KW - nuclear

KW - analytic semigroups

KW - Linear Quadratic Regulator (LQR) control

KW - SYSTEMS

KW - APPROXIMATION

U2 - 10.1016/j.jmaa.2006.07.037

DO - 10.1016/j.jmaa.2006.07.037

M3 - Article

SN - 0022-247X

VL - 329

SP - 1145

EP - 1160

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

The Hilbert-Schmidt property of feedback operators

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this