Transformed orthogonal functions for solving infinite horizon fractional optimal control problems

DOI10.1016/j.ejcon.2021.01.005zbMath1466.49020OpenAlexW3132453773MaRDI QIDQ2034164

M. Shahini, M. A. Mehrpouya

Publication date: 21 June 2021

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2021.01.005

zbMATH Keywords

collocation methodsorthogonal functionsnonlinear programming probleminfinite horizon problemsfractional optimal control

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (1)

Necessary optimality conditions of fractional-order discrete uncertain optimal control problems

Cites Work

• Unnamed Item
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• Solution of a laminar boundary layer flow via a numerical method
• An approximate method for numerically solving fractional order optimal control problems of general form
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A new approach for the nonlinear fractional optimal control problems with external persistent disturbances
• A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems
• The Boubaker polynomials and their application to solve fractional optimal control problems
• Orthogonal rational functions on a semi-infinite interval
• An \(hp\) symplectic pseudospectral method for nonlinear optimal control
• Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense
• Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative
• Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
• A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation
• Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory
• Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative
• An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics
• Optimal Control of Nonlinear Processes
• Chebyshev-Legendre method for discretizing optimal control problems
• An approximate method for solving fractional optimal control problems by hybrid functions
• Transformed Legendre spectral method for solving infinite horizon optimal control problems
• A numerical solution for fractional optimal control problems via Bernoulli polynomials
• Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems
• Solving fractional optimal control problems within a Chebyshev–Legendre operational technique

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