Numerical Solution of Optimal Control of Time-varying Singular Systems via Operational Matrices

Numerical Study of the Optimal Control of time-varying Singular Systems via Adomian Decomposition Method

In this article, the problem of optimal control of time-varying singular systems with quadratic performance index has been studied via Adomian Decomposition Method (ADM). The results obtained via RK-Butcher algorithm (RKB)[10] and ADM are compared with the exact solutions of the time-varying optimal control of linear singular systems. It is observed that the results obtained using ADM is closer...

The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials

‎In this paper‎, ‎we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays‎. ‎Constant or pantograph delays may appear in state-control or both‎. ‎We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then‎, ‎these are utilized to reduce the solution of optimal control with constant...

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices

Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They a...

Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials

In this paper, we introduce hybrid of block-pulse functions and Bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. Then, we utilize them to solve delay differential equations and time-delay system. The method is based upon e...

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...