النشر العلمي

  • Transfer Function and State-Space Equations for Single-Input Single-Output Systems.

Abstract

     Many techniques are available for obtaining state-space represe-ntations of transfer functions systems. In this paper our main goal is to investigate transfer functions and state-space for single-input single-output systems. Clearly more straightforward techniques are necessary, two were outlined, one generated a state space method known as the "controllable canonical form" and the other generated the "observable canonical form.

published in Sudan J. for Basic Sci., M (SJBS) Series (Math.) No. 13, 2018

  • Hamilton Control Systems in the Plane and Lyapunov Functions Stability

Abstract

 

     Aims and objectives of this paper is to study Hamiltonian systems in the plane and investigate stability using Lyapunov functions. And we will going to make the reader be able to prove whether a system is Hamiltonian by sketching phase portraits of Hamiltonian systems using Lyapunov functions, to determine the stability of a critical point and distinguish  between stability and asymptotic stability.

published in Albutana Journal of Applied Science Vol. (2) Issue (2) December (28-41) 2017

  • Using Graph Theory and Permutation Groups in the Distribution of Students inside the Exam Hall.

Abstract

    Graph theory is one of primary topics in modern mathematics and computer sciences. The problem is studying through the properties of graphs where they are converting scientific problems to a graph where they are handled through the graph results and access to a quick and easy way. The objective of this paper is the distribution of students inside the exam room accidentally do not allow them to trade information by linking graph theory of permutations group and cliques have been converted into simple graphs of table. Among the most important findings of the study that the straw ratio to more than approximately 70%. The study also recommends developing these models and use of this theory in solving other problems.   

published in Albutana Journal of Applied Science Vol. (2) Issue (1) - June (91-101) 2017

  • Mathematical Controllability for a System Governed by the One - dimensional Heat Equation

Abstract

      Historically the theory of boundary-value problems grew out of the study of certain partial differential equations encountered in classical physics, and the main idea treated in this paper originated in attempts to solve and analysis the one-dimensional heat equation. A control system described by the one-dimensional heat equation with a boundary control is considered. The problem of finding a control which derives the system, in finite time T, to a constant final temperature distribution was discussed. A pimple bound for the norm of the control in terms of the final time T was derived, and other results were presented and discussed.   

published in Albutana Journal of Applied Science Vol. (1) Issue (1) - June (103-108) 2016

  • The Relationship between Dynamic Programming and Pontrygin,s Minimum Principle in Optimal Control.

Abstract

       Optimal control theory has been used to obtain solutions to a variety

of aerospace engineering problems and holds great promise for other problem areas as well. However, much remains to be accomplished. Hopefully, the reader has been stimulated to learn more about optimal control theory and its applications. In this paper, we discussed the relationship between dynamic programming and Pontryagin's minimum principle and the important features of these two techniques.

     The minimum principle determines optimal controls that generally lead to a nonlinear two-point boundary deriving the minimum principle from the Hamilton Jacobi-Bellman functional equation. Particular problem solved with applying minimum principle technique and has been discussed. The minimum principle indicated that the only values assumed determined by an optimal control.

published in Gezira j. of Eng. & Applied Sci. 11-(2): 56-64 (2016)

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