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Abstract r:lh~) present work gives a proposed method for closely approx- ir::lating a certain desired fWl.ction with 0. realizable character _ istic using the variational method of analysis ; This f\.lll.ction may be 0. delay characteristic or any other characteristics With this proposed method , an optirnized solution Gall. be directly obtained in one step without iteration as in active equalizers, where the reo.lizability constraints are less than the case of passive networks, or at least minimizing the number of variables the system under consideration as in most passive networks .Thus the proposed method will be 0. good addition to the well known optimization techniques, since , it will at least minimize the number of ill~ID~owns and hence minimize the computational time In case the optimization could be obtained in one step, the resulting relations o.re similar to those using the least squaremethod of optimization. The thesis consists of two main parts. Part one contains 0. detailed study of the well Imown optinization methods and Is subdivided into there chapters. In chapter one, general cons idera tions and definl tions are pre sented. In chapter two, survey-’ of the optimization techniques which are co.refully reported. In cha.pter three~ un o.pplication of some of these techniques is illustrated .Part two of the thesis is clevoted to our analysis and it is subdivided into two chapters. Chapter four contains the |