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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Stochastic near-optimal control: additive, multiplicative, non-Markovian and applications

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Author(s):
Lima, Lourival [1] ; Ruffino, Paulo [1] ; Souza, Francys [1]
Total Authors: 3
Affiliation:
[1] UNICAMP State Univ Campinas, Dept Math, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas - Brazil
Total Affiliations: 1
Document type: Review article
Source: European Physical Journal-Special Topics; v. 230, n. 14-15, p. 2783-2792, OCT 2021.
Web of Science Citations: 1
Abstract

In this survey we present the near-optimal stochastic control problem according to some recent tools in the literature. In particular, we focus on the approach of a discretization of the noise values instead of the canonical time-discretization. This is the so called skeleton structure. This allows to obtain an c-optimal control in non-Markovian systems (the main Theorem). A simple example illustrates the technique. The importance of the approach is emphasised in a final section on open problems related to more geometrical framework and discontinuous noise. (AU)

FAPESP's process: 17/23003-6 - Functional Stochastic Analysis and Applications
Grantee:Francys Andrews de Souza
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:Paulo Regis Caron Ruffino
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support Opportunities: Research Projects - Thematic Grants