Sufficient conditions for pre-compactness of state trajectories

H. Zwart

doi:10.1016/j.ifacol.2020.12.1212

Sufficient conditions for pre-compactness of state trajectories

H. Zwart^*

^*Corresponding author for this work

Mathematical Systems Theory

Research output: Contribution to journal › Conference article › Academic › peer-review

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Abstract

In this paper we give sufficient conditions on a semi-linear differential equation ensuring the pre-compactness of its solution. The result is illustrated by two examples of vibrating strings in a network with a static damper.

Original language	English
Pages (from-to)	5298-5302
Number of pages	5
Journal	IFAC-papersonline
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.1212
Publication status	Published - 2020
Event	21st IFAC World Congress 2020 - Virtual Event, Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020 Conference number: 21 https://www.ifac2020.org/

Keywords

Asymptotic stability
Boundary control systems
Infinite-dimensional systems
Non-linear control

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10.1016/j.ifacol.2020.12.1212Licence: CC BY-NC-ND

ArticleFinal published version, 398 KBLicence: CC BY-NC-ND

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title = "Sufficient conditions for pre-compactness of state trajectories",

abstract = "In this paper we give sufficient conditions on a semi-linear differential equation ensuring the pre-compactness of its solution. The result is illustrated by two examples of vibrating strings in a network with a static damper.",

keywords = "Asymptotic stability, Boundary control systems, Infinite-dimensional systems, Non-linear control",

author = "H. Zwart",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.1212",

language = "English",

volume = "53",

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journal = "IFAC-papersonline",

issn = "2405-8963",

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AB - In this paper we give sufficient conditions on a semi-linear differential equation ensuring the pre-compactness of its solution. The result is illustrated by two examples of vibrating strings in a network with a static damper.

KW - Asymptotic stability

KW - Boundary control systems

KW - Infinite-dimensional systems

KW - Non-linear control

UR - https://www.scopus.com/pages/publications/85105054042

U2 - 10.1016/j.ifacol.2020.12.1212

DO - 10.1016/j.ifacol.2020.12.1212

M3 - Conference article

AN - SCOPUS:85105054042

SN - 2405-8963

VL - 53

SP - 5298

EP - 5302

JO - IFAC-papersonline

JF - IFAC-papersonline

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Sufficient conditions for pre-compactness of state trajectories

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Keywords

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