A discrete orthogonal polynomials approach for fractional optimal control problems with time delay

DOI10.22067/IJNAO.V9I2.73622OpenAlexW3128423381MaRDI QIDQ3389581

No author found.

Publication date: 23 March 2022

Full work available at URL: https://ijnao.um.ac.ir/article_24889_2bea639a530443050f41a480682be8e9.pdf

Hahn polynomials operational matrix delay fractional optimal control problems Riemann-Liouville integration

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Existence theories for optimal control problems involving relations other than differential equations (49J21) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

Unnamed Item
Unnamed Item
Optimal control of delay systems by using a hybrid functions approximation
Variational iteration method for solving the multi -- pantograph delay equation
Delay differential equations: with applications in population dynamics
Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials
An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials
Optimal control of linear time-delayed systems by linear Legendre multiwavelets
The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
A fractional-order Legendre collocation method for solving the Bagley-Torvik equations
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
Spectral-collocation methods for fractional pantograph delay-integrodifferential equations
An efficient analytical technique for fractional model of vibration equation
Haar wavelet operational matrix method for fractional oscillation equations
Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation
A new Legendre operational technique for delay fractional optimal control problems
Optimal control of time-varying linear delay systems based on the Bézier curves
Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series
Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution
Optimal control of linear systems with delays in state and control via Walsh functions
A computational algorithm for large-scale nonlinear time-delay systems
Fractional variational principles with delay
Analysis of time-delay systems using the Galerkin method
Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
Suboptimal control of fractional-order dynamic systems with delay argument
Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems
On the Critical Strip of the Riemann zeta Fractional Derivative
The Adomian decomposition method for solving delay differential equation
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
On the Hahn Polynomials
Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
Fractional Calculus

This page was built for publication: A discrete orthogonal polynomials approach for fractional optimal control problems with time delay