A combination of variational and penalty methods for solving a class of fractional optimal control problems

DOI10.1007/S10957-017-1106-3zbMath1378.49032OpenAlexW2600818748MaRDI QIDQ1673866

Ali Lotfi

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1106-3

zbMATH Keywords

spectral methodvariational equalityCaputo fractional derivativefractional optimal control problemepsilon penalty methodefficient approximate direct method

Mathematics Subject Classification ID

Variational inequalities (49J40) Discrete approximations in optimal control (49M25) Fractional ordinary differential equations (34A08)

Related Items (9)

ON RITZ APPROXIMATION FOR A CLASS OF FRACTIONAL OPTIMAL CONTROL PROBLEMS ⋮ Epsilon penalty method combined with an extension of the Ritz method for solving a class of fractional optimal control problems with mixed inequality constraints ⋮ Fixed terminal time fractional optimal control problem for discrete time singular system ⋮ A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel ⋮ Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems ⋮ Generalized shifted Chebyshev polynomials for fractional optimal control problems ⋮ Combination of epsilon and Ritz methods with multiscaling basis for solving a class of fractional optimal control problems ⋮ Jacobi and Legendre variational tests for a class of generalized fractional variational problem ⋮ A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems

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