The optimal control of the linear wave equation

MH Farahi, JE Rubio, DA Wilson - International Journal of control, 1996 - Taylor & Francis
We consider in this paper the existence and numerical estimation of an optimal boundary
control for the linear wave equation. The problem is modified into one consisting of the …

An almost optimal control design method for nonlinear time-delay systems

AJ Koshkouei, MH Farahi… - International Journal of …, 2012 - Taylor & Francis
In this article, optimal control problems for a class of time-delay nonlinear systems subject to
mixed control–state constraints are studied. The delays in the systems are on the state …

A new method for solving a system of the nonlinear equations

S Effati, AR Nazemi - Applied Mathematics and computation, 2005 - Elsevier
In this paper we use measure theory in the discrete case to solve a wide range of the
nonlinear equations systems. First, by defining an error function, we transform the problem to …

Numerical solution of nonlinear optimal control problems using nonlinear programming

KP Badakhshan, AV Kamyad - Applied Mathematics and Computation, 2007 - Elsevier
To solving nonlinear control problems and especially nonlinear optimal control problems
(NOCP), classical methods are not usually efficient. In this paper we introduce a new …

Measure theoretical approach for optimal shape design of a nozzle

MH Farahi, AH Borzabadi, HH Mehne… - Journal of Applied …, 2005 - Springer
In this paper we present a new method for designing a nozzle. In fact the problem is to find
the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the …

The global control of nonlinear elliptic equations

JE Rubio - Journal of the Franklin Institute, 1993 - Elsevier
We consider the boundary control of a nonlinear elliptic partial differential equation with an
integral performance criterion. By means of a well-known process of embedding, this …

An optimal control problem for the multidimensional diffusion equation with a generalized control variable

AV Kamyad, JE Rubio, DA Wilson - Journal of Optimization Theory and …, 1992 - Springer
The present paper is concerned with an optimal control problem for the n-dimensional
diffusion equation with a sequence of Radon measures as generalized control variables …

The global control of a nonlinear wave equation

MH Farahi, JE Rubio, DA Wilson - International Journal of Control, 1996 - Taylor & Francis
We consider in this paper the existence and numerical estimation of the distributed control of
a nonlinear wave equation with an integral performance criterion and fixed final states. The …

Optimal control of the heat equation in an inhomogeneous body

AH Borzabadi, AV Kamyad, MH Farahi - Journal of Applied Mathematics …, 2004 - Springer
In this paper we consider a heat flow in an inhomogeneous body without internal source.
There exists special initial and boundary conditions in this system and we intend to find a …

Using AVK method to solve nonlinear problems with uncertain parameters

KP Badakhshan, AV Kamyad, A Azemi - Applied Mathematics and …, 2007 - Elsevier
Although we usually would like to work with exact systems, most of the real world systems
are nonlinear with uncertain parameters. In this paper, we propose AVK (AV Kamyad) …