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Publication Date

Thu Dec 29 2016

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

24

Issue Number

3

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Some Results on The Complete Arcs in Three Dimensional Projective Space Over Galois Field

: arcs

index

plane

A.SH.

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The aim of this paper is to introduce the definition of projective 3-space over Galois field GF(q), q = p^m, for some prime number p and some integer m.

Also the definitions of (k,n)-arcs, complete arcs, n-secants, the index of the point and the projectively equivalent arcs are given.

Moreover some theorems about these notations are proved.

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Publication Date

Sat Oct 30 2021

Journal Name

Iraqi Journal Of Science

Solution of Time-Varying Index-2 Linear Differential Algebraic Control Systems Via A Variational Formulation Technique

Control problems

Direct method of calculus of variation

Generalized Ritz method

Index-two time-varying linear differential algebraic equations

Variational formulation

Ghazwa F.

Radhi A.

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This paper deals with finding an approximate solution to the index-2 time-varying linear differential algebraic control system based on the theory of variational formulation. The solution of index-2 time-varying differential algebraic equations (DAEs) is the critical point of the equivalent variational formulation. In addition, the variational problem is transformed from the indirect into direct method by using a generalized Ritz bases approach. The approximate solution is found by solving an explicit linear algebraic equation, which makes the proposed technique reliable and efficient for many physical problems. From the numerical results, it can be implied that very good efficiency, accuracy, and simplicity of the pre

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