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)

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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 World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress) - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020 Conference number: 21 https://www.ifac2020.org/

Bibliographical note

Publisher Copyright:
Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license

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

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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",

note = "Publisher Copyright: Copyright {\textcopyright} 2020 The Authors. This is an open access article under the CC BY-NC-ND license; 21st World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress), IFAC 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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KW - Asymptotic stability

KW - Boundary control systems

KW - Infinite-dimensional systems

KW - Non-linear control

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DO - 10.1016/j.ifacol.2020.12.1212

M3 - Conference article

AN - SCOPUS:85105054042

SN - 2405-8963

VL - 53

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T2 - 21st World Congress of the International Federation of Aufomatic Control (IFAC 2020 World Congress)

Y2 - 12 July 2020 through 17 July 2020

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Sufficient conditions for pre-compactness of state trajectories

Abstract

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Keywords

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