Abstract
This paper investigates two optimal control problems in which the state equation is a quasi-linear elliptic partial differential equation. In the first problem the admissible set comprises functions with range in the interval [0, 1] with prescribed integral. We show the optimal solution is unique and it is of bang-bang type. In the second problem the admissible set is a particular class of simple functions. We will show again the optimal solution is unique and derive the corresponding optimality condition.
Original language | English |
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Pages (from-to) | 1103-1117 |
Number of pages | 15 |
Journal | SIAM Journal on Control and Optimization |
Volume | 58 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Existence
- Optimal control
- Optimality conditions
- Quasi-linear elliptic equations
- Uniqueness
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics