Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
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Publication:2206107
DOI10.1016/j.cnsns.2018.05.011OpenAlexW2804175501WikidataQ57650310 ScholiaQ57650310MaRDI QIDQ2206107
Abubakar Bello Salati, Delfim F. M. Torres, Mostafa Shamsi
Publication date: 21 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.06537
fractional optimal controldirect numerical solutionGrünwald-Letnikovfractional integration matrixtrapezoidal and Simpson fractional integral formulas
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Cites Work
- Discrete direct methods in the fractional calculus of variations
- An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems
- Fractional order optimal control problems with free terminal time
- Free final time fractional optimal control problems
- Epsilon-Ritz method for solving a class of fractional constrained optimization problems
- A new framework for solving fractional optimal control problems using fractional pseudospectral methods
- Fractional calculus for scientists and engineers.
- A numerical technique for solving fractional optimal control problems
- Recent history of fractional calculus
- A discrete method to solve fractional optimal control problems
- Fractional conservation laws in optimal control theory
- Integral fractional pseudospectral methods for solving fractional optimal control problems
- An approximate method for numerically solving fractional order optimal control problems of general form
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- 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
- An efficient approximation technique for solving a class of fractional optimal control problems
- A necessary condition of Pontryagin type for fuzzy fractional optimal control problems
- A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel
- Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- Mathematical modelling of fractional order circuit elements and bioimpedance applications
- The role of fractional calculus in modeling biological phenomena: a review
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution
- About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula
- Concept of dynamic memory in economics
- A new Legendre operational technique for delay 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
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- A general formulation and solution scheme for fractional optimal control problems
- Advanced methods in the fractional calculus of variations
- Fractional linear control systems with Caputo derivative and their optimization
- An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index
- On the optimal control for fractional multi-strain TB model
- Fractional optimal control problems: a pseudo-state-space approach
- The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems
- A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems
- A Central Difference Numerical Scheme for Fractional Optimal Control Problems
- An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
- Differintegral interpolation from a bandlimited signal's samples
- Minimal modified energy control for fractional linear control systems with the Caputo derivative
- A Formulation and Numerical Scheme for Fractional Optimal Control Problems
- An approximate method for solving fractional optimal control problems by the hybrid of block-pulse functions and Taylor polynomials
- A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
- Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
- An approximate method for solving fractional optimal control problems by hybrid functions
- Solving a class of fractional optimal control problems by the Hamilton–Jacobi–Bellman equation
- A numerical solution for fractional optimal control problems via Bernoulli polynomials
- A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems
- Uniform asymptotic stability of a fractional tuberculosis model
- Non standard finite difference method for solving variable order fractional optimal control problems
- Fractional differentiation matrices with applications
- Computational Methods in the Fractional Calculus of Variations
- An efficient method to solve a fractional differential equation by using linear programming and its application to an optimal control problem
- Fractional Optimal Control Problems with Several State and Control Variables
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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