A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems

DOI10.1016/j.chaos.2022.112093zbMath1505.34101OpenAlexW4224216550MaRDI QIDQ2113234

Hamid-Reza Marzban

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112093

zbMATH Keywords

integral operatorbang-bang controlspectral collocation methodMüntz-Legendre polynomialsCaputo derivativenonlinear fractional control

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Control problems involving ordinary differential equations (34H05) Discrete approximations in optimal control (49M25) Fractional ordinary differential equations (34A08)

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