Generalized shifted Chebyshev polynomials for fractional optimal control problems
DOI10.1016/j.cnsns.2019.03.013zbMath1462.49014OpenAlexW2922153620WikidataQ128218320 ScholiaQ128218320MaRDI QIDQ2206506
Eskandar Naraghirad, Hossein Hassani, José António Tenreiro Machado
Publication date: 22 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.03.013
control parametersoperational matrixoptimization methodfractional optimal control problems (FOCP)generalized shifted Chebyshev polynomials (GSCP)
Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Fractional derivatives and integrals (26A33) Numerical methods for variational inequalities and related problems (65K15) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
- An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
- On the numerical solutions for the fractional diffusion equation
- Analytical solution for optimal control by the second kind Chebyshev polynomials expansion
- Fractional control of heat diffusion systems
- A fractional-order Legendre collocation method for solving the Bagley-Torvik equations
- Fractional-order Legendre functions for solving fractional-order differential equations
- A combination of variational and penalty methods for solving a class of fractional optimal control problems
- A pseudospectral method for fractional optimal control problems
- A simple accurate method for solving fractional variational and optimal control problems
- Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation
- The Boubaker polynomials and their application to solve fractional optimal control problems
- An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- A computational method for solving variable-order fractional nonlinear diffusion-wave equation
- An efficient recursive shooting method for the optimal control of time-varying systems with state time-delay
- The Müntz-Legendre tau method for fractional differential equations
- Direct solvers for the biharmonic eigenvalue problems using Legendre polynomials
- An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral
- 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
- An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix
- An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
- Optimal control of time-delay systems by dynamic programming
- Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
- A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials
- A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations
- A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems
- Numerical solution of fractional delay differential equation by shifted Jacobi polynomials
- Approximate solution of dual integral equations using Chebyshev polynomials