DocumentCode
664280
Title
A fundamental solution for an infinite dimensional two-point boundary value problem via the principle of stationary action
Author
Dower, Peter M. ; McEneaney, William M.
Author_Institution
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Parkvillene, VIC, Australia
fYear
2013
fDate
4-5 Nov. 2013
Firstpage
270
Lastpage
275
Abstract
A new approach for solving two-point boundary value problems for conservative infinite dimensional systems is investigated. This new approach seeks to exploit the principle of stationary action in reformulating and solving such problems in the framework of optimal control. A specific and highly simplified problem involving a one dimensional wave equation is considered. The construction of a solution to an attendant optimal control problem is identified as crucial in applying this new approach.
Keywords
boundary-value problems; optimal control; wave equations; attendant optimal control problem; conservative infinite dimensional systems; fundamental solution; infinite dimensional two-point boundary value problem; one-dimensional wave equation; stationary action principle; Abstracts; Aerospace electronics; Australia; Boundary value problems; Equations; Optimal control; Propagation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (AUCC), 2013 3rd Australian
Conference_Location
Fremantle, WA
Print_ISBN
978-1-4799-2497-4
Type
conf
DOI
10.1109/AUCC.2013.6697284
Filename
6697284
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