الفهرس 
OPTIMIZATION AND CONSTRAINED DISTRIBUTED PARAMETER SYSTEMOnly 14 pages are availabe for public view
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Abstract
The main object of this thesis is to study the constrained optimization and to obtain the analytical , numerical solutions of constrained optimal control of parabolic distributed parameter systems and estimation of variable coefficients from an additional information.
In chapter one, we review briefly the basic concepts of the optimization and optimization algorithms. The modified partial quadratic interpolation technique (MPQI)is given to solve unconstrained optimization problems and use it to solve some numerical examples and compare with other methods. Also (MPQI) combined with exterior penalty function for solving constrained optimization and use it to solve some numerical examples. At the second part of this chapter we review the development of the optimal control theory .Also we give notes about the optimal control problems governed by distributed systems and estimation of variable coefficients of parabolic distributed parameter systems and some applications.
In chapter two, we investigate the existence and uniqueness for the optimal control problem governed by parabolic differential equation under boundary control and state constraints. The constrained optimal control problem is converted to an unconstrained control problem by adding an exterior penalty function to the cost functional, yielding the modified functional. Also, A theorem for the sufficient differentiability conditions for the modified functional and its gradient formulae has been proved.
In chapter three, A computational approach based on an exterior penalty function with modified partial quadratic interpolation method (PMPQI) is given for solving a class of a constrained parabolic optimal boundary control problem. Also, MPQI is applied for solving the inverse heat conduction problem which requires an additional information to determine an unknown variable coefficient.