Some remarks on adaptive stabilization of infinite-dimensional systems

Hartmut Logemann; Hans Zwart

doi:10.1016/0167-6911(91)90049-K

Some remarks on adaptive stabilization of infinite-dimensional systems

Hartmut Logemann
, Hans Zwart

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

37 Citations (Scopus)

225 Downloads (Pure)

Abstract

It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.

Original language	English
Pages (from-to)	199-207
Number of pages	9
Journal	Systems and control letters
Volume	16
Issue number	3
DOIs	https://doi.org/10.1016/0167-6911(91)90049-K
Publication status	Published - 1991

Keywords

Infinite-dimensional systems
Semilinear evolution equations
Strongly continous semigroup
Adaptive stabilization

Access to Document

10.1016/0167-6911(91)90049-K

ArticleFinal published version, 556 KB

37 Citations
1 Report

Some remarks on adaptive stabilization of infinite-dimensional systems
Logemann, H. & Zwart, H. J., 1990, Bremen: University of Bremen. 13 p. (Report; no. 228)
Research output: Book/Report › Report › Professional

Cite this

@article{ebe4aad95cd04a0bbf5d54a5dcd97f9f,

title = "Some remarks on adaptive stabilization of infinite-dimensional systems",

abstract = "It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.",

keywords = "Infinite-dimensional systems, Semilinear evolution equations, Strongly continous semigroup, Adaptive stabilization",

author = "Hartmut Logemann and Hans Zwart",

year = "1991",

doi = "10.1016/0167-6911(91)90049-K",

language = "English",

volume = "16",

pages = "199--207",

journal = "Systems and control letters",

issn = "0167-6911",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Some remarks on adaptive stabilization of infinite-dimensional systems

AU - Logemann, Hartmut

AU - Zwart, Hans

PY - 1991

Y1 - 1991

N2 - It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.

AB - It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.

KW - Infinite-dimensional systems

KW - Semilinear evolution equations

KW - Strongly continous semigroup

KW - Adaptive stabilization

U2 - 10.1016/0167-6911(91)90049-K

DO - 10.1016/0167-6911(91)90049-K

M3 - Article

SN - 0167-6911

VL - 16

SP - 199

EP - 207

JO - Systems and control letters

JF - Systems and control letters

IS - 3

ER -

Some remarks on adaptive stabilization of infinite-dimensional systems

Abstract

Keywords

Access to Document

Fingerprint

Research output

Some remarks on adaptive stabilization of infinite-dimensional systems

Cite this