Local Decompositions of Second Order Infinite-Dimensional Systems

Hubert Rams; Markus Schöberl; Kurt Schlacher

Local Decompositions of Second Order Infinite-Dimensional Systems

Institute of Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non-accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description.

Original language	English
Title of host publication	Proceedings in Applied Mathematics and Mechanics
Publisher	WILEY-VCH Verlag GmbH & Co KGaA
Pages	825–826
Number of pages	2
Volume	16
Publication status	Published - Oct 2016

Fields of science

202017 Embedded systems
203015 Mechatronics
101028 Mathematical modelling
202 Electrical Engineering, Electronics, Information Engineering
202003 Automation
202027 Mechatronics
202034 Control engineering

JKU Focus areas

Mechatronics and Information Processing

Cite this

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title = "Local Decompositions of Second Order Infinite-Dimensional Systems",

abstract = "This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non-accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description.",

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N2 - This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non-accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description.

AB - This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non-accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description.

M3 - Conference proceedings

VL - 16

SP - 825

EP - 826

BT - Proceedings in Applied Mathematics and Mechanics

PB - WILEY-VCH Verlag GmbH & Co KGaA

ER -