النشر العلمي

  • Response Analysis of Multiple-Input Multiple- Output Frequency and Singular Value Decomposition

Abstract

 

       Recently, developments in linear control theory have concentrated on the multiple-input multiple-output control systems (MIMO). Many systems, particularly in technologically advanced areas such as aerospace systems, are represented by models with several inputs, with each input having several outputs. Such cross-coupling makes the use of single-input, single-output (SISO) methods complicated. In this paper, we introduced the basic closed-loop expressions for MIMO. We then discussed 2-norms stability, and uncertainty. The standard design problem defined and solutions worked out.                                        

published in International Journal of Science and Research (IJSR) Index Copernicus Value (2016): 79.57 | Impact Factor (2017): 7.296 Volume 7 Issue 5, May 2018 ISSN (Online): 2319-7064

  • Applications of Fourier Transform to a Conical Surface

Abstract

   This paper shall focus on differential geometry and namely in conical surfaces. We consider a certain natural measure on the conic associated with the Fourier multipliers. Fourier transforms have important applications for both ODEs and PDEs. The homogeneity of the measure absorbs that of Fourier transforms.

published in Albutana Journal of Applied Science Vol. (3) Issue (1) - June (103-108) 2018

  • Response Analysis of Multiple-Input Multiple- Output Frequency and Singular Value Decomposition

Abstract

 

       Recently, developments in linear control theory have concentrated on the multiple-input multiple-output control systems (MIMO). Many systems, particularly in technologically advanced areas such as aerospace systems, are represented by models with several inputs, with each input having several outputs. Such cross-coupling makes the use of single-input, single-output (SISO) methods complicated. In this paper, we introduced the basic closed-loop expressions for MIMO. We then discussed 2-norms stability, and uncertainty. The standard design problem defined and solutions worked out.                                        

published in International Journal of Science and Research (IJSR) Index Copernicus Value (2016): 79.57 | Impact Factor (2017): 7.296 Volume 7 Issue 5, May 2018 ISSN (Online): 2319-7064

  • The Correspondence between Composite Functions in Modern Algebra and Calculus.

Abstract

 

   The study of maps which act on a finite set of objects is of especial importance in modern algebra. The main objective of this paper is to compare between the structures of groups that yield from the definition of composite functions in group theory (permutation groups) and those in calculus.

   In calculus there no detailed study for groups, but we took the definition of composite functions as a binary operation to define a group. This study can be considered as an essential model for isomorphic groups. 

published in Journal of Mathematical Theory and Modeling, IISTE ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online) Vol. 8. No. 3. 2018

  • THE LIENARD TYPE OF DEGREE FIVE WITH TWO LIMIT CYCLES

Abstract

 

     In this article, we study the limit cycles problem for Linard type of degree five, and we proved that the system has exactly two limit cycles under certain conditions. Also, we compared our result with method of calculating the amplitude of limit cycles by perturbation as in [4].      

 

published in Egypt. J. of Appl. Sci. 33 (5) May 2018 231-238

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