Epsilon penalty method combined with an extension of the Ritz method for solving a class of fractional optimal control problems with mixed inequality constraints

DOI10.1016/j.apnum.2018.09.004zbMath1404.49015OpenAlexW2891181937MaRDI QIDQ1615882

Ali Lotfi

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.004

zbMATH Keywords

Ritz methodCaputo fractional derivativefractional optimal control problemcontrol inequality constraintepsilon penalty methodstate inequality constraint

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fractional ordinary differential equations (34A08)

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Cites Work

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• Fractional order optimal control problems with free terminal time
• Epsilon-Ritz method for solving a class of fractional constrained optimization problems
• A numerical technique for solving fractional optimal control problems
• Well-posed optimization problems
• Direct Walsh-wavelet packet method for variational problems
• Epsilon-Ritz method for solving optimal control problems: Useful parallel solution method
• Haar wavelet direct method for solving variational problems.
• A combination of variational and penalty methods for solving a class of fractional optimal control problems
• Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule
• A general formulation and solution scheme for fractional optimal control problems
• An integral formulation of the \(\varepsilon\)-problem and a new computational approach to control function optimization
• An interior penalty method for optimal control problems with state and input constraints of nonlinear systems
• A Central Difference Numerical Scheme for Fractional Optimal Control Problems
• A Formulation and Numerical Scheme for Fractional Optimal Control Problems
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
• The extended Ritz method for functional optimization: overview and applications to single-person and team optimal decision problems
• Error Estimates for Approximate Optimization by the Extended Ritz Method
• On a New Computing Technique in Optimal Control
• Approximating networks and extended Ritz method for the solution of functional optimization problems

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