DocumentCode
3000748
Title
A unified boundary controllability theory for hyperbolic and parabolic distributed parameter systems
Author
Russell, D.L.
Author_Institution
University of Wisconsin, Madison
fYear
1972
fDate
13-15 Dec. 1972
Firstpage
361
Lastpage
365
Abstract
By making use of Huyghen´s principle we are able to show that processes modelled by the wave equation in an odd number of space variables are controllable in finite time by means of control forces applied at the boundary of the spatial region in question. The introduction of certain concepts from harmonic analysis together with use of the Fourier transform enables us to apply this result to prove the finite time controllability of processes modelled by the heat equation in the same spatial region by means of similar boundary controls.
Keywords
Controllability; Distributed computing; Distributed parameter systems; Force control; Fourier transforms; Harmonic analysis; Hydrogen; Mathematical model; Mathematics; Partial differential equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1972 and 11th Symposium on Adaptive Processes. Proceedings of the 1972 IEEE Conference on
Conference_Location
New Orleans, Louisiana, USA
Type
conf
DOI
10.1109/CDC.1972.269020
Filename
4044943
Link To Document