The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem. When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied. The Frcéhet derivative derivation of the "Hamiltonian" is obtained. Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the state constrained problem are stated and proved.
In a resource-limited world, there is an urgent need to develop new economic models, from the traditional unsustainable industrial model of product consumption and disposal, to a new model based on the concepts of sustainability in its comprehensive sense, the so-called circular economy, using fewer resources in manufacturing processes and changing practices in product disposal to waste, by removing its use, recycling and manufacturing to start another manufacturing process. In an era of intense competition in domestic and global markets, the importance of the circular economy is highlighted in its ability to strengthen the competitiveness of enterprises in those markets, by reducing the cost and increasing the quality of the pro
... Show MoreOften times, especially in practical applications, it is difficult to obtain data that is not tainted by a problem that may be related to the inconsistency of the variance of error or any other problem that impedes the use of the usual methods represented by the method of the ordinary least squares (OLS), To find the capabilities of the features of the multiple linear models, This is why many statisticians resort to the use of estimates by immune methods Especially with the presence of outliers, as well as the problem of error Variance instability, Two methods of horsepower were adopted, they are the robust weighted least square(RWLS)& the two-step robust weighted least square method(TSRWLS), and their performance was verifie
... Show MoreThis work is concerned with the vibration attenuation of a smart beam interacting with fluid using proportional-derivative PD control and adaptive approximation compensator AAC. The role of the AAC is to improve the PD performance by compensating for unmodelled dynamics using the concept of function approximation technique FAT. The key idea is to represent the unknown parameters using the weighting coefficient and basis function matrices/vectors. The weighting coefficient vector is updated using Lyapunov theory. This controller is applied to a flexible beam provided with surface bonded piezo-patches while the vibrating beam system is submerged in a fluid. Two main effects are considered: 1) axial stretching of the vibrating beam that leads
... Show Moreيعود الأرشيف إلى تورام ايلي التاجر والذي عرف في النصوص أيضا بوكيل التجار(ugula-dam-gàr)، في دوره هذا له سلطة بين التجار في مجتمعه(مجتمع التجار)، يذكر(Garfinkle) أن التجار غالبا ما اكتسبوا ألقابهم عن طريق الوراثة ذلك قد يمنح التجار حق الدخول إلى حسابات المؤسسات العامة. كان تورام ايلي تاجرا نشيطا في أعمال قروض الفضة في أواخر عهود سلالة أور الثالثة(3)، لمدة (ثمان عشرة) سنة أعتبارا من السنة الرابعة من حكم الملك أمارسن وحتى ا
... Show Moreتعد النصوص المسمارية من اهم الوثائق التي رفدتنا بمعلومات غزيرة عن واقع الحياة اليومية في العصر البابلي القديم المتميز بتطور النشاط الاقتصادي فيه وازدهاره. وتضمن هذا البحث دراسة وتحليل لخمسة نصوص مسمارية اقتصادية غير منشورة وهي من نصوص المتحف العراقي (المصادرة) المجهولة الموقع والمصدر وهي ذات مضامين اقتصادية , ولم نستطع اثبات عائدية النصوص وذلك لانها لاتحمل صيغ تاريخية تشير الى عائدتيها باستثناء النص الا
... Show MoreWe have studied Bayesian method in this paper by using the modified exponential growth model, where this model is more using to represent the growth phenomena. We focus on three of prior functions (Informative, Natural Conjugate, and the function that depends on previous experiments) to use it in the Bayesian method. Where almost of observations for the growth phenomena are depended on one another, which in turn leads to a correlation between those observations, which calls to treat such this problem, called Autocorrelation, and to verified this has been used Bayesian method.
The goal of this study is to knowledge the effect of Autocorrelation on the estimation by using Bayesian method. F
... Show MoreThis study aimed to knowledge of the effects of the Traditional ore upon the structure of sculpture form, as well as to knowledge of new materials that was used for the contemporary sculpture. This study included four chapter: first chapter was specialized for methodical frame. such as problem of research. that it was abstracted by question about the reason that lead the sculptor to search from new raw to carry out his sculpture works? As well as the important of research and its limits was that define between year 1950 up to 2000. The second chapter included the theoretical field and previous studies, that formed from three researches, such as the fist about the materials, as it was considered master element at the sculpture formal. the
... Show MoreQuality control is an effective statistical tool in the field of controlling the productivity to monitor and confirm the manufactured products to the standard qualities and the certified criteria for some products and services and its main purpose is to cope with the production and industrial development in the business and competitive market. Quality control charts are used to monitor the qualitative properties of the production procedures in addition to detecting the abnormal deviations in the production procedure. The multivariate Kernel Density Estimator control charts method was used which is one of the nonparametric methods that doesn’t require any assumptions regarding the distribution o
... Show MoreIn this article, a continuous terminal sliding mode control algorithm is proposed for servo motor systems. A novel full-order terminal sliding mode surface is proposed based on the bilimit homogeneous property, such that the sliding motion is finite-time stable independent of the system’s initial condition. A new continuous terminal sliding mode control algorithm is proposed to guarantee that the system states reach the sliding surface in finitetime. Not only the robustness is guaranteed by the proposed controller but also the continuity makes the control algorithm more suitable for the servo mechanical systems. Finally, a numerical example is presented to depict the advantages of the proposed control algorithm. An application in the rota
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