Name
Title | ||
|---|---|---|
INFINITE HORIZON OPTIMAL CONTROL PROBLEMS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS |
Abstract | ||
|---|---|---|
Infinite horizon open loop optimal control problems for semilinear parabolic equations are investigated. The controls are subject to a cost functional which promotes sparsity in time. The focus is put on deriving first order optimality conditions. This is achieved without relying on a welldefined control-to-state mapping in a neighborhood of minimizers. The technique of proof is based on the approximation of the original problem by a family of finite horizon problems. The optimality conditions allow deduction of sparsity properties of the optimal controls in time. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/21M1464816 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | DocType | Volume |
semilinear parabolic equations, optimal control, infinite horizon, sparse controls | Journal | 60 |
Issue | ISSN | Citations |
4 | 0363-0129 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eduardo Casas | 1 | 0 | 0.68 |
| Karl Kunisch | 2 | 1370 | 145.58 |