Building systems from simple hyperbolic ones

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

doi:10.1016/j.sysconle.2016.02.002

Building systems from simple hyperbolic ones

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

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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
Early online date	27 Feb 2016
DOIs	https://doi.org/10.1016/j.sysconle.2016.02.002
Publication status	Published - May 2016

Keywords

2022 OA procedure
Partial differential equation
Infinite-dimensional systems theory
Impedance passive

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10.1016/j.sysconle.2016.02.002

Zwart2016buildingFinal published version, 388 KBLicence: Taverne

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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.{\textquoteright}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.",

keywords = "2022 OA procedure, Partial differential equation, Infinite-dimensional systems theory, Impedance passive",

author = "H. Zwart and {Le Gorrec}, Y. and B. Maschke",

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doi = "10.1016/j.sysconle.2016.02.002",

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T1 - Building systems from simple hyperbolic ones

AU - Zwart, H.

AU - Le Gorrec, Y.

AU - Maschke, B.

PY - 2016/5

Y1 - 2016/5

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 - 2022 OA procedure

KW - Partial differential equation

KW - Infinite-dimensional systems theory

KW - Impedance passive

U2 - 10.1016/j.sysconle.2016.02.002

DO - 10.1016/j.sysconle.2016.02.002

M3 - Article

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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