Asymptotic stability for a class of boundary control systems with non-linear damping

H.J. Zwart; H. Ramirez; Y. Le Gorrec

doi:10.1016/j.ifacol.2016.07.458

Asymptotic stability for a class of boundary control systems with non-linear damping

H.J. Zwart, H. Ramirez, Y. Le Gorrec

Dynamics and Control

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

2 Citations (Scopus)

Abstract

The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

Original language	English
Pages (from-to)	304-308
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	49
Issue number	8
DOIs	https://doi.org/10.1016/j.ifacol.2016.07.458
Publication status	Published - 2016

Keywords

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

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10.1016/j.ifacol.2016.07.458

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title = "Asymptotic stability for a class of boundary control systems with non-linear damping",

abstract = "The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.",

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

author = "H.J. Zwart and H. Ramirez and {Le Gorrec}, Y.",

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AU - Zwart, H.J.

AU - Ramirez, H.

AU - Le Gorrec, Y.

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N2 - The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

AB - The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

KW - asymptotic stability

KW - Boundary control systems

KW - infinite-dimensional port Hamiltonian systems

KW - non-linear control

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U2 - 10.1016/j.ifacol.2016.07.458

DO - 10.1016/j.ifacol.2016.07.458

M3 - Conference article

AN - SCOPUS:84994476747

SN - 2405-8963

VL - 49

SP - 304

EP - 308

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 8

ER -

Asymptotic stability for a class of boundary control systems with non-linear damping

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Keywords

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