This book provides a systematic and unified approach to the analysis, identification and
optimal control of continuous-time dynamical systems via orthogonal polynomials such as …

In this paper we present a method for finding the solution of time-delay systems using a
hybrid function. We present the properties of the hybrid functions, which consist of block …

Orthogonal Functions may be divided into two classes. The class of continuous systems and
the discontinuous class of piecewise constant systems. Problems arise because continuous …

The solution of time‐delay systems is obtained by using a hybrid function. The properties of
the hybrid functions consisting of block‐pulse functions and Chebyshev polynomials are …

This paper presents a method for finding the analysis of time-varying delay systems using
triangular functions. We present the properties of the triangular functions. The operational …

In this paper, stability for uncertain time variant linear systems with time delay is studied. A
new sufficient condition for delay-dependent systems is given in matrix inequality form which …

In this paper we present a method to find the solution of time-delay optimal control systems
using Fourier series. The method is based upon expanding various time functions in the …

This paper first critically reviews the up-to-date literature available on the problem of
analysis of linear time-invariant dynamical systems containing time delay (s) and discusses …

This paper presents a NUMERICAL METHOD for finding the solution of time-DELAY
SYSTEM s using TRIANGULAR FUNCTION s. We present the properties of the …

Direct methods are applied to solve linear time-varying delay systems based on vector forms
of block-pulse functions (BPFs) and triangular functions (TFs). Operational matrices of …