Title :
Model reduction for distributed parameter systems: A functional analytic view
Author_Institution :
Dept. of Math. Sci., Univ. of Bath, Bath, UK
Abstract :
We study error bounds for model reduction from a functional analytic viewpoint. We give three examples of linear distributed parameter systems that have very different approximation properties. We also comment on implications of this for numerical approximation schemes.
Keywords :
approximation theory; distributed parameter systems; linear systems; reduced order systems; approximation properties; error bounds; functional analytic view; linear distributed parameter systems; model reduction; numerical approximation schemes; Chebyshev approximation; Piecewise linear approximation; Reduced order systems; Space heating; Transfer functions; Transforms;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314718