Building systems from simple hyperbolic ones

H.J. Zwart; Y. Le Gorrec; B. Maschke

doi:10.1016/j.sysconle.2016.02.002

Building systems from simple hyperbolic ones

H.J. Zwart
, Y. Le Gorrec
, B. Maschke

Dynamics and Control

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

9 Citations (Scopus)

84 Downloads (Pure)

Abstract

In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.

Original language	English
Pages (from-to)	1-6
Number of pages	6
Journal	Systems and Control Letters
Volume	91
DOIs	https://doi.org/10.1016/j.sysconle.2016.02.002
Publication status	Published - 1 May 2016

Keywords

Impedance passive
Infinite-dimensional systems theory
Partial differential equation

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10.1016/j.sysconle.2016.02.002

zwartbui2016Final published version, 389 KBLicence: TAVERNE

Cite this

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title = "Building systems from simple hyperbolic ones",

abstract = "In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.",

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AU - Zwart, H.J.

AU - Le Gorrec, Y.

AU - Maschke, B.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.

AB - In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.'s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.

KW - Impedance passive

KW - Infinite-dimensional systems theory

KW - Partial differential equation

UR - https://www.scopus.com/pages/publications/84959340838

U2 - 10.1016/j.sysconle.2016.02.002

DO - 10.1016/j.sysconle.2016.02.002

M3 - Article

AN - SCOPUS:84959340838

SN - 0167-6911

VL - 91

SP - 1

EP - 6

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Building systems from simple hyperbolic ones

Abstract

Keywords

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