Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems

Yann Le Gorrec; Hans Zwart; Hector Ramirez

doi:10.1016/j.ifacol.2017.08.1102

Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems

Yann Le Gorrec^*, Hans Zwart, Hector Ramirez

^*Corresponding author for this work

University of Twente

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

7 Citations (Scopus)

52 Downloads (Pure)

Abstract

The stability of an undamped Euler Bernoulli beam connected to non-linear mass spring damper systems is addressed. It is shown that under mild assumptions on the local behaviour of the non-linear springs and dampers the solutions exist and the system is globally asymptotically stable.

Original language	English
Pages (from-to)	5580-5585
Number of pages	6
Journal	IFAC-papersonline
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.1102
Publication status	Published - 1 Jul 2017
Event	20th IFAC World Congress 2017 - Toulouse, France Duration: 9 Jul 2017 → 14 Jul 2017 Conference number: 20 https://www.ifac2017.org/

Keywords

asymptotic stability
Boundary control systems
infinite-dimensional port Hamiltonian systems
non-linear control

Access to Document

10.1016/j.ifacol.2017.08.1102Licence: CC BY-NC-ND

LeGorrec2017asymptoticFinal published version, 442 KBLicence: CC BY-NC-ND

Cite this

@article{13e540493d2c4390a424c547b0fb67dd,

title = "Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems",

abstract = "The stability of an undamped Euler Bernoulli beam connected to non-linear mass spring damper systems is addressed. It is shown that under mild assumptions on the local behaviour of the non-linear springs and dampers the solutions exist and the system is globally asymptotically stable.",

keywords = "asymptotic stability, Boundary control systems, infinite-dimensional port Hamiltonian systems, non-linear control",

author = "Gorrec, {Yann Le} and Hans Zwart and Hector Ramirez",

year = "2017",

month = jul,

day = "1",

doi = "10.1016/j.ifacol.2017.08.1102",

language = "English",

volume = "50",

pages = "5580--5585",

journal = "IFAC-papersonline",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "1",

note = "20th IFAC World Congress 2017 ; Conference date: 09-07-2017 Through 14-07-2017",

url = "https://www.ifac2017.org/",

}

TY - JOUR

T1 - Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems

AU - Gorrec, Yann Le

AU - Zwart, Hans

AU - Ramirez, Hector

N1 - Conference code: 20

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The stability of an undamped Euler Bernoulli beam connected to non-linear mass spring damper systems is addressed. It is shown that under mild assumptions on the local behaviour of the non-linear springs and dampers the solutions exist and the system is globally asymptotically stable.

AB - The stability of an undamped Euler Bernoulli beam connected to non-linear mass spring damper systems is addressed. It is shown that under mild assumptions on the local behaviour of the non-linear springs and dampers the solutions exist and the system is globally asymptotically stable.

KW - asymptotic stability

KW - Boundary control systems

KW - infinite-dimensional port Hamiltonian systems

KW - non-linear control

UR - http://www.scopus.com/inward/record.url?scp=85031810847&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.1102

DO - 10.1016/j.ifacol.2017.08.1102

M3 - Article

AN - SCOPUS:85031810847

SN - 2405-8963

VL - 50

SP - 5580

EP - 5585

JO - IFAC-papersonline

JF - IFAC-papersonline

IS - 1

T2 - 20th IFAC World Congress 2017

Y2 - 9 July 2017 through 14 July 2017

ER -

Asymptotic stability of an Euler-Bernoulli beam coupled to non-linear spring-damper systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this