The problems of systems identification, analysis and optimal control have been recently
studied using orthogonal functions. The specific orthogonal functions used up to now are the …

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 …

Fractional calculus is an extension of derivatives and integrals to non-integer orders, and a
partial differential equation involving the fractional calculus operators is called the fractional …

This paper is concerned with weighted least squares solutions to general coupled Sylvester
matrix equations. Gradient based iterative algorithms are proposed to solve this problem …

The weighted least-squares solutions of coupled singular matrix equations are too difficult to
obtain by applying matrices decomposition. In this paper, a family of algorithms are applied …

A set of generalized orthogonal polynomials (GOPs) that can represent all types of
orthogonal polynomial and non-orthogonal Taylor series are first introduced to solve …

The optimal control of linear time-varying systems with quadratic cost functional is obtained
by Fourier series approximation. The properties of Fourier series are first briefly presented …

Taylor Series Direct Method for Variational Problems Page 1 Taylor Series Direct Method for
Variational Problems by MOHSEN RAZZAGHI Department of Mathematics and Statistics …

In Kronecker products works, matrices are sometimes regarded as vectors and vectors are
sometimes made in to matrices. To be precise about these reshaping we use the vector and …

The Fourier series approximation approach is introduced into the analysis and optimal
control of the time-varying linear systems. The operational properties of the coefficient …