Title :
Balanced truncation is Hankel-norm optimal when used to approximate a finite-difference model of a parabolic PDE
Author_Institution :
Dept. of Eng. Sci., Oxford Univ., UK
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371290
