A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method

DOI10.1080/00207160.2019.1628949zbMath1490.76162OpenAlexW2952326985WikidataQ127776995 ScholiaQ127776995MaRDI QIDQ5030621

A. Nemati, Kamal Mamehrashi

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1628949

zbMATH Keywords

convergenceLaguerre polynomialmultivariable optimizationspectral Ritz methodinfinite horizon optimal control problems (IHOCPs)

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Existence theories for optimal control problems involving ordinary differential equations (49J15)

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Cites Work

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• Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method
• Optimality conditions for infinite horizon control problems with state constraints
• An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
• Optimality in infinite-horizon variational problems under sign conditions
• Wavelets method for solving fractional optimal control problems
• On a sufficient transversality condition for infinite horizon optimal control problems
• Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation
• Turnpike phenomenon and infinite horizon optimal control
• SOLUTION OF INFINITE HORIZON NONLINEAR OPTIMAL CONTROL PROBLEMS BY PIECEWISE ADOMIAN DECOMPOSITION METHOD
• Necessary conditions for infinite-horizon Volterra optimal control problems with time delay
• Laguerre operational matrices for fractional calculus and applications
• On the Transversality Condition in Infinite Horizon Optimal Problems
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• Wavelets approach for the optimal control of vibrating plates by piezoelectric patches
• Transformed Legendre spectral method for solving infinite horizon optimal control problems
• Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix
• SOLVING INFINITE-HORIZON OPTIMAL CONTROL PROBLEMS USING THE HAAR WAVELET COLLOCATION METHOD
• The Use of the Ritz Method and Laplace Transform for Solving 2D Fractional‐Order Optimal Control Problems Described by the Roesser Model
• Wavelets approach for optimal boundary control of cellular uptake in tissue engineering
• Spectral Methods
• Numerical solution of infinite-horizon optimal-control problems