Title
Time optimal control problem of the heat equation with thermal source.
Abstract
To obtain a control function which puts the heat equation with thermal source in an unknown minimum time into a stationary regime is considered. Using an embedding method, the problem of finding the time optimal control is reduced to one consisting of minimizing a linear form over a set of positive measures. The resulting problem can be approximated by a finite-dimensional linear programming (LP) ...
Year
DOI
Venue
2014
10.1093/imamci/dnt016
IMA Journal of Mathematical Control and Information
Keywords
Field
DocType
heat equation,moment problem,measure theory,time optimal control,linear programming
Hamilton–Jacobi–Bellman equation,Mathematical optimization,Optimal control,Linear-quadratic-Gaussian control,Mathematical analysis,Measure (mathematics),Control theory,Linear programming,Heat equation,Algebraic Riccati equation,Moment problem,Mathematics
Journal
Volume
Issue
ISSN
31
3
0265-0754
Citations 
PageRank 
References 
1
0.37
0
Authors
3
Name
Order
Citations
PageRank
Effati Sohrab127630.31
Alireza Nazemi210.37
Hassan Shabani310.37