The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis
functions that include free coefficients and control parameters. The GSCP are adopted to …

Two schemes to find approximated solutions of optimal control problems of fractional order
(FOCPs) are investigated. Integration and differentiation matrices were used in these …

In this article, a new numerical method based on Bernoulli wavelet basis has been applied
to give the approximate solution of the fractional optimal control problems. The new …

The objective of this article is to present a novel algorithm that can efficiently address
fractional quadratic optimal control problems (FQOCPs) through the application of the …

In this paper, a numerical method is developed and analyzed for solving a class of fractional
optimal control problems (FOCPs) with vector state and control functions using polynomial …

We apply the Adomian decomposition method (ADM) to obtain a subop timal control for
linear time-varying systems with multiple state and control delays and with quadratic cost …

The main idea of this work is to present a novel scheme based on Bernstein wavelets for
finding numerical solution of two classes of fractional optimal control problems (FOCPs) and …

In this paper, we consider the problems of suboptimal control for a class of fractional-order
optimal control problems with multi-delay argument. The fractional derivative in these …

This article aims to introduce a modern numerical method based on the hybrid functions,
consisting of the Bernoulli polynomials and Block-Pulse functions. An indirect approach is …

Based on the Riemann–Liouville fractional derivative, an optimal displacement control
strategy for fractional incommensurate mass-spring oscillators has been presented …