A new efficient type of Chebyshev wavelet is used to find the optimal solutions of general
linear, continuous-time, multi-delay systems with quadratic performance indices and also to …

In this paper, we define a class of almost orthogonal rational functions of Legendre type in a
new manner. Relations of these functions with classical exponentional functions orthogonal …

The aim of this paper is to determine the feedforward and state feedback suboptimal time
control for a subset of bilinear systems, namely, the control sequence and reaching time …

This paper presents a novel method for finding the optimal control, state and cost of linear
time-delay systems with quadratic performance indices. The basic idea here is to convert a …

Optimal control deals with the problem of finding a control law for a given system such that a
certain optimality criterion is achieved. An optimal control is a set of differential equations …

The aim of this paper is to determine the optimal open loop solution and a nonlinear delay‐
dependent state feedback suboptimal control for a class of nonlinear polynomial time delay …

In this article a suboptimal linear-state feedback controller for multi-delay quadratic system is
investigated. Optimal state and input coefficients resulting from the expansion over a hybrid …

This article is concerned with the numerical solution of optimal control of linear multi-delay
systems involving piecewise constant time delays. The proposed approach is based on …

To solve the time delay optimal control problem with quadratic performance index, a direct
numerical method based on Hermite wavelet has been proposed in the present study. The …

A nonlinear operational matrix is derived via Legendre polynomials (LPs) and block pulse
functions (BPFs). Using the nonlinear operational matrix and other relevant operational …