Abstract | ||
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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 |
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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 Sohrab | 1 | 276 | 30.31 |
Alireza Nazemi | 2 | 1 | 0.37 |
Hassan Shabani | 3 | 1 | 0.37 |