On numerical methods for singular optimal control problems: An application to an AUV problem

Autor: Mostafa Shamsi, Zahra Foroozandeh, Maria do Rosário de Pinho

Publikováno v: Discrete & Continuous Dynamical Systems - B. 24:2219-2235

We discuss and compare numerical methods to solve singular optimal control problems by the direct method. Our discussion is illustrated by an Autonomous Underwater Vehicle (AUV) problem with state constraints. For this problem, we test four different

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4c750c3563be4954d2876a34e62073ad
https://doi.org/10.3934/dcdsb.2019092

Optimal control of normalized SIMR models with vaccination and treatment

Autor: Helmut Maurer, Maria do Rosário de Pinho, Hasnaa Zidani

Publikováno v: Discrete and Continuous Dynamical Systems-Series B
Discrete and Continuous Dynamical Systems-Series B, American Institute of Mathematical Sciences, 2018, 23 (1), pp.79-99. ⟨10.3934/dcdsb.2018006⟩
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

We study a model based on the so called SIR model to control the spreading of a disease in a varying population via vaccination and treatment. Since we assume that medical treatment is not immediate we add a new compartment, \begin{document}$M$\end{d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fdb9fd0e67629eba2337610135ed8300
https://doi.org/10.3934/dcdsb.2018006

A Hybrid Direct–Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order

Autor: Maria do Rosário de Pinho, Zahra Foroozandeh, Mostafa Shamsi

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

This paper presents a hybrid approach to solve singular optimal control problems. It combines the direct Euler method with a modified indirect shooting method. The presented method circumvents the main difficulties and drawbacks of both the direct an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2298b1c00dc4a7adbd6324fcb4480d12
https://doi.org/10.1007/s40995-017-0176-2

A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games

Autor: Mostafa Shamsi, Zahra Foroozandeh, Maria do Rosário de Pinho, Z. Yazdaniyan

Publikováno v: Journal of Computational and Applied Mathematics. 368:112535

This paper presents an efficient numerical method for a class of Zero-Sum Pursuit-Evasion Differential Games (ZSPEDGs). The aim of the presented method is to resolve the drawbacks of the indirect methods in solving ZSPEDGs. In the indirect methods, t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::829111ae842d8fdde0ec4d30e2ebc7df
https://doi.org/10.1016/j.cam.2019.112535

A maximum principle for a special optimal multiprocess problem with state constraints

Autor: Hasnaa Zidani, Maria do Rosário de Pinho

Publikováno v: ASCC

Here we prove a maximum principle for a special case of optimal multiprocess problems with state constraints. The class of problems of interest involves a family of three control systems each acting on three adjacent state regions, Ω 1 , Ω 2 and Ω

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b243dbdad7b5c505328c0ac8657eec1d
https://doi.org/10.1109/ascc.2017.8287407