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The Continuous Classical Boundary Optimal Control of Triple Nonlinear Elliptic Partial Differential Equations with State Constraints

    Our aim in this work is to study the classical continuous boundary control vector  problem for triple nonlinear partial differential equations of elliptic type involving a Neumann boundary control. At first, we prove that the triple nonlinear partial differential equations of elliptic type with a given classical continuous boundary control vector have a unique "state" solution vector,  by using the Minty-Browder Theorem. In addition, we prove the existence of a classical continuous boundary optimal control vector ruled by the triple nonlinear partial differential equations of elliptic type with equality and inequality constraints. We study the existence of the unique solution for the triple adjoint equations related with the triple state equations.

The Fréchet derivative is obtained. Finally we prove the theorems of both the necessary and sufficient conditions for optimality of the triple nonlinear partial differential equations of elliptic type through the Kuhn-Tucker-Lagrange's Multipliers theorem with equality and inequality constraints.

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Publication Date
Fri Apr 02 2021
Journal Name
New Trends In Information And Communications Technology Applications: 4th International Conference, Ntict 2020, Baghdad, Iraq, June 15, 2020, Proceedings 4
Publication Date
Fri Mar 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Improving the Effectiveness of Internal Control System In Accordance with COSO Model

        The research aims to improve the effectiveness of internal control system according to a model COSO, by identifying the availability of system components according to the model and then improve the effectiveness of each component by focusing on areas for improvement in each component, as it was addressed to a model COSO and then Maamth with the environment, the current Iraqi by introducing some improvements on the form of some mechanisms of corporate governance of the Council of Directors, and senior management, the Audit Committee, Committee appointments, especially that supplies application available in the laws and legislation, the current Iraqi, taking into consideration to make some

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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Sliding mode control based on high-order extended state observer for flexible joint robot under time-varying disturbance

Abstract. In this paper, a high order extended state observer (HOESO) based a sliding mode control (SMC) is proposed for a flexible joint robot (FJR) system in the presence of time varying external disturbance. A composite controller is integrated the merits of both HOESO and SMC to enhance the tracking performance of FJR system under the time varying and fast lumped disturbance. First, the HOESO estimator is constructed based on only one measured state to precisely estimate unknown system states and lumped disturbance with its high order derivatives in the FJR system. Second, the SMC scheme is designed based on such accurate estimations to govern the nominal FJR system by well compensating the estimation errors in the states and the lumped

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Publication Date
Fri Jun 24 2022
Journal Name
Iraqi Journal Of Science
The Correlation of Lipocalin-2 and Retinol Binding Protein-4 with the Inflammatory State in Iraqi Patients with T2DM

Adipokines are associated with insulin resistance and obesity-related metabolic
disorders in many diseases. The levels of Lipocalin-2 and Retinol binding protein-4
were evaluated in sera of patients with Type 2 diabetes (T2DM) to study the
association between them and the inflammatory state as established by high levels of
C - reactive protein and with atherogenicity. Serum Lipocalin-2 and Retinol binding
protein-4 levels measured in 73 subjects: 48 patients with T2DM with the mean
level of C- reactive protein 23.989 mg/dL. For comparison, 25 age- and gendermatched
control participants enrolled with C- reactive protein CRP level 1.476
mg/dL. The results showed that circulating Lipocalin-2, and Retinol binding prot

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Publication Date
Fri Jun 01 2018
Journal Name
Journal Of Engineering
Compensation of the Nonlinear Power Amplifier by Using SCPWL Predistorter with Genetic Algorithm in OFDM technique

The High Power Amplifiers (HPAs), which are used in wireless communication, are distinctly characterized by nonlinear properties. The linearity of the HPA can be accomplished by retreating an HPA to put it in a linear region on account of power performance loss. Meanwhile the Orthogonal Frequency Division Multiplex signal is very rough. Therefore, it will be required a large undo to the linear action area that leads to a vital loss in power efficiency. Thereby, back-off is not a positive solution. A Simplicial Canonical Piecewise-Linear (SCPWL) model based digital predistorters are widely employed to compensating the nonlinear distortion that introduced by a HPA component in OFDM technology. In this paper, the genetic al

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Publication Date
Tue Jun 30 2009
Journal Name
Al-kindy College Medical Journal
The Effect of Continuous Darkness and Continuous Light on the Reactivity of Smooth Muscles to Drugs in the Rat Vas Deferens

Background: The vasoconstricting agents: nor-adrenaline and 5- hydroxytryptamine
(5-HT) have a stimulant action on smooth muscle contractility of the rat vas deferens.
Objective: This study aimed to investigate the effect of exposure to continuous
darkness and continuous light on the contractility of the vasa deferntia smooth
muscles from rats to applied nor-adrenaline and 5-HT.
Method: Male albino wistar rats were divided into 3 experimental groups. Group 1:
Control animals, were exposed to the ordinary photoperiod each day. Group 2: Rats
were kept in a dark room. Group 3: In a room under a bright artificial light.
All animals were killed after 4 weeks.
Results: Vasa deferentia preparations from continuous dar

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Publication Date
Sat Sep 30 2023
Journal Name
Iraqi Journal Of Science
Existence and Qualitative Property of Differential Equation with Delayed Arguments

     In this paper, some conditions to guarantee the existence of bounded solution to the second order multi delayed arguments differential equation are given. The Krasnoselskii theorem used to the Lebesgue’s dominated convergence and fixed point to obtain some new sufficient conditions for existence of solutions. Some important lemmas are established that are useful to prove the main results for oscillatory property. We also submitted some sufficient conditions to ensure the oscillation criteria of bounded solutions to the same equation.

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Publication Date
Sun May 17 2020
Journal Name
Iraqi Journal Of Science
Dynamics and optimal Harvesting strategy for biological models with Beverton –Holt growth

In this work, the dynamic behavior of discrete models is analyzed with Beverton- Holt function growth . All equilibria are found . The existence and local stability are investigated of all its equilibria.. The optimal harvest strategy is done for the system by using Pontryagin’s maximum principle to solve the optimality problem. Finally numerical simulations are used to solve the optimality problem and to enhance the results of mathematical analysis

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Publication Date
Thu Jan 31 2019
Journal Name
Journal Of The College Of Education For Women
Censurer’s dialogue in Classical Arabic Poetry

Censure in poetry is a pattern of poetic construction, in which the poet evokes a voice other than his own voice or creates out of his own self another self and engages with him in dialogue in the traditional artistic style whose origin remains unknown. Example of the same may be found in the classical Arabic poets’ stopping over the ruins, crying over separation and departure and speaking with stones and andirons; all in the traditional technical mould. Censure confronting the poet usually emanates from the women as blaming, censure and cursing is closer to woman’s hearts than to the man’ hearts. Censure revolves around some social issues, such as the habit of over drinking wine and extravagant generosity taking risks, traveling,

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Publication Date
Tue Apr 01 2014
Journal Name
Journal Of Engineering
Mixed Convection in a Square Cavity Filled with Porous Medium with Bottom Wall Periodic Boundary Condition

Transient mixed convection heat transfer in a confined porous medium heated at periodic sinusoidal heat flux is investigated numerically in the present paper. The Poisson-type pressure equation, resulted from the substituting of the momentum Darcy equation in the continuity equation, was discretized by using finite volume technique. The energy equation was solved by a fully implicit control volume-based finite difference formulation for the diffusion terms with the use of the quadratic upstream interpolation for convective kinetics scheme to discretize the convective terms and the temperature values at the control volume faces. The numerical study covers a range of the hydrostatic pressure head , , , , and ), sinusoidal amplitude range of

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