Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces

Li Peng, Yong Zhou and Amar Debbouche

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 234-241

Abstract: We investigate an optimal control problem involving a class of fractional evolution equations in separable Hilbert spaces. The strategy of this paper is establishing low dimensional approximations for this type of equations by using approximation methods. We derive three kinds of convergence results of mild solutions under appropriate assumptions. Then, the convergence result holds for cost functional as well. Further, error estimates of cost functional and optimal controls are obtained. Finally, the proposed concept is supported by an illustrated example.

Keywords: Fractional evolution equation; Optimal control; Approximation; Convergence; Error estimate (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077918308981
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:118:y:2019:i:c:p:234-241

DOI: 10.1016/j.chaos.2018.11.025

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. ().