Optimal control of fractional stochastic systems with delay (Q2113784)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Optimal control of fractional stochastic systems with delay |
scientific article; zbMATH DE number 7488825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control of fractional stochastic systems with delay |
scientific article; zbMATH DE number 7488825 |
Statements
Optimal control of fractional stochastic systems with delay (English)
0 references
14 March 2022
0 references
Summary: In this paper, the optimal control of time-delayed fractional stochastic dynamical systems with Poisson jumps (FSDSP) are investigated in the finite dimensional space. Firstly, by applying Kranoselskii's fixed point theorem, some suitable sufficient conditions are established to guarantee the existence of solutions for the considered system. Then, the general conditions are used to extend the existence of optimal control for the considered Lagrange Problem (P). Concrete example is provided.
0 references
optimal control
0 references
fractional differential equations
0 references
Mittag-Leffler function
0 references
stochastic systems
0 references
time-delays
0 references
Poisson jumps
0 references
