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

• Published in: AIMS mathematics Vol. 8; no. 2; pp. 3561 - 3605
• Main Authors: Elgindy, Kareem T., Refat, Hareth M.
• Format: Journal Article
• Language: English
• Published: AIMS Press 2023
• Subjects: algebraic map; gauss-radau points; gegenbauer polynomials; infinite horizon; integration matrix; logarithmic map; optimal control; pseudospectral method
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2023181

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...