Premium
Model Reduction for Second‐Order Dynamical Systems Revisited
Author(s) -
Beddig Rebekka S.,
Benner Peter,
Dorschky Ines,
Reis Timo,
Schwerdtner Paul,
Voigt Matthias,
Werner Steffen W. R.
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900224
Subject(s) - reduction (mathematics) , passivity , order (exchange) , focus (optics) , stability (learning theory) , model order reduction , dynamical systems theory , statistical physics , control theory (sociology) , computer science , control (management) , mathematics , physics , engineering , algorithm , geometry , quantum mechanics , artificial intelligence , economics , projection (relational algebra) , electrical engineering , optics , finance , machine learning
Second‐order control systems are used to describe the dynamics of mechanical and vibrational systems, and in particular, their response to excitations. In this article, we discuss model order reduction (MOR) of such systems. A particular focus is on preserving the second‐order structure and physical properties such as stability and passivity.