Premium
Model Reduction for a Class of PDAE Systems
Author(s) -
Reis Timo
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510068
Subject(s) - algebraic number , class (philosophy) , reduction (mathematics) , mathematics , norm (philosophy) , state space , differential (mechanical device) , measure (data warehouse) , differential equation , partial differential equation , state (computer science) , algebraic equation , algebra over a field , computer science , pure mathematics , mathematical analysis , algorithm , nonlinear system , physics , statistics , geometry , database , artificial intelligence , quantum mechanics , political science , law , thermodynamics
We investigate a class of input‐output sytems which consist of partial differential equations whose boundary values fulfill some differential algebraic conditions. Abstractly, these systems can be written down as descriptor systems with an infinite dimensional state space. The aim is to find finite dimensional approximations of these systems and to give error estimates. This means, we approximate a system governed by partial differential algebraic equations (PDAE) by a differential algebraic one. As error measure, we take the ℋ ∞ ‐norm. Applications are e.g. given by the model reduction of time delay systems. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)