DocumentCode
2408576
Title
Balanced truncation is Hankel-norm optimal when used to approximate a finite-difference model of a parabolic PDE
Author
Mustafa, Denis
Author_Institution
Dept. of Eng. Sci., Oxford Univ., UK
fYear
1992
fDate
1992
Firstpage
2862
Abstract
A standard finite-difference model is developed for a parabolic partial differential equation (PDE). The model is shown to belong to a class of state-space systems whose balanced approximates are optimal with respect to the Hankel-norm
Keywords
finite difference methods; optimal control; partial differential equations; state-space methods; Hankel-norm; balanced truncation; finite-difference model; optimal balanced approximates; parabolic partial differential equation; state-space systems; Boundary conditions; Differential equations; Finite difference methods; Heating; MIMO; Partial differential equations; Standards development; Systems engineering and theory; Temperature control; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location
Tucson, AZ
Print_ISBN
0-7803-0872-7
Type
conf
DOI
10.1109/CDC.1992.371290
Filename
371290
Link To Document