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Main Title: Frequency Domain Methods and Decoupling of Linear Constant Coefficient Infinite Dimensional Differential Algebraic Systems
Author(s): Reis, Timo
Tischendorf, Caren
Type: Research Paper
Abstract: We discuss the analysis of constant coefficient linear differential algebraic equations $E\dot{x}(t)=Ax(t)+q(t)$ on infinite dimensional Hilbert spaces. We give solvability criteria of these systems which are mainly based on Laplace transformation. Furthermore, we investigate decoupling of these systems, motivated by the decoupling of finite dimensional differential algebraic systems by the Kronecker normal form. Applications are given by the analysis of mixed systems of ordinary differential, partial differential and differential algebraic equations.
Subject(s): partial differential-algebraic equations
infinite dimensional linear system theory
Issue Date: 13-Jan-2005
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
34A30 Linear equations and systems, general
93A10 General systems
34G10 Linear equations
35E20 General theory
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2005, 01
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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