Stochastic near-optimal control for a system with Markovian switching and Lévy noise

Daipeng Kuang, Jianli Li, Dongdong Gao and Danfeng Luo

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: The near-optimal control conditions of a stochastic system are the main subject of this research work, which will extend some previous results. At first, the stochastic system and its adjoint equations are estimated based on certain mild assumptions on a convex control set. Additionally, utilizing various analysis techniques and Ekeland’s variational principle, sufficient and necessary near-optimality conditions are obtained, independent of the second-order adjoint equation. Ultimately, an example of a biological, mathematical model is used to demonstrate the correctness of the theoretical analysis.

Keywords: Stochastic near-optimal control; Hamiltonian function; Adjoint equation; Ekeland’s variational principle (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923012626
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012626

DOI: 10.1016/j.chaos.2023.114360

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().