Combination of epsilon and Ritz methods with multiscaling basis for solving a class of fractional optimal control problems
From MaRDI portal
Publication:1721840
DOI10.1016/j.jcp.2018.04.001zbMath1406.65044OpenAlexW2795693153MaRDI QIDQ1721840
Publication date: 13 February 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.04.001
Numerical optimization and variational techniques (65K10) Control/observation systems governed by ordinary differential equations (93C15)
Related Items
The image-based multiscale multigrid solver, preconditioner, and reduced order model, STABILITY ANALYSIS OF NONLINEAR UNCERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO DERIVATIVE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Direct Walsh-wavelet packet method for variational problems
- A new operational matrix for solving fractional-order differential equations
- 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
- A study of orthonormal multi-wavelets
- The third and fourth kinds of Chebyshev polynomials and best uniform approximation
- 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
- The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems
- 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
- Construction of Orthogonal Wavelets Using Fractal Interpolation Functions
- A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
- 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