A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps

A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps

We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for solving a class of continuous-time infinite-horizon optimal control problems (IHOCs). The method transforms the IHOCs into finite-horizon optimal control problems in their integral forms by means of certain param...

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Bibliographic Details
Main Authors: Kareem T. Elgindy, Hareth M. Refat
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
algebraic map
gauss-radau points
gegenbauer polynomials
infinite horizon
integration matrix
logarithmic map
optimal control
pseudospectral method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023181?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023181?viewType=HTML

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