Differential stability in a multi-objective optimal control problems with a possibly empty solution set (Q6144907)
From MaRDI portal
scientific article; zbMATH DE number 7796967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential stability in a multi-objective optimal control problems with a possibly empty solution set |
scientific article; zbMATH DE number 7796967 |
Statements
Differential stability in a multi-objective optimal control problems with a possibly empty solution set (English)
0 references
30 January 2024
0 references
Parametric multi-objective mathematical programming problems in Banach spaces are considered. A formula for computing the epsilon-weak subdifferential of the weak optimal value mapping is proved. After that, multi-objective discrete-time optimal control problems are considered with linear state equations. Necessary conditions for epsilon-subgradients of the weak optimal value mapping are obtained.
0 references
parametric multi-objective discrete optimal control problem
0 references
weak optimal value mapping
0 references
\(\varepsilon\)-weak subdifferential
0 references
\(\varepsilon\)-weak subgradients
0 references
\(\varepsilon\)-weak minimal point
0 references
empty solution set
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
