Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions. (English) Zbl 1429.49031
Optimal control problems are considered for systems described by nonlinear fractional evolution inclusions on Banach spaces. Existence of optimal solutions is proved. The continuity of the set of optimal state-control pairs and the optimal value function is established with respect to the initial state and a parameter in the dynamics. A version of Filippov’s theorem is also proved.
Reviewer: Tullio Zolezzi (Genova)
MSC:
| 49K40 | Sensitivity, stability, well-posedness |
| 26A33 | Fractional derivatives and integrals |
| 35R11 | Fractional partial differential equations |
| 49K20 | Optimality conditions for problems involving partial differential equations |
| 49K27 | Optimality conditions for problems in abstract spaces |
Keywords:
sensitivity properties; optimal control problem; fractional evolution inclusions; mild solutions; Filippov’s theoremReferences:
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