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 …

This paper describes a novel approach for nonorthogonal representation of signals using
Gaussians and an extension of this method for Gabor representation of signals, based on …

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 …

The application of the Taylor series approach is considered for the analysis and estimation
of the unknown parameters of nonlinear systems. The approach uses Taylor series …

The method or generalized orthogonal polynomials (GOP) is applied to the analysis and
optimal control of time-varying systems. The proposed GOP can represent all kinds of …

In the present paper a new method is introduced for the approximate solution of ordinary
linear differential equations using orthogonal polynomial series on a computer. For this …

A new Taylor series approach is presented which reduces the problem of determining the
state vector coefficient matrix X for time-invariant systems to an expression involving …

An algorithm has been developed for directly estimating the parameters of a linear
distributed systems by means of the Taylor operational matrix of integration. The major …

This paper introduces the operational matrix of polynomial series transformation T that may
be applied to transform any polynomial series basis vector to the Taylor polynomials. The …

The Taylor series is used for the solution of the optimal-control problem for time-varying
linear systems. Instead of solving the state transition matrix from the state equation with a …