This paper deals with the continuous classical optimal control problem for triple partial differential equations of parabolic type with initial and boundary conditions; the Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution for given continuous classical control vector. The proof of the existence theorem of a continuous classical optimal control vector associated with the triple linear partial differential equations of parabolic type is given. The derivation of the Fréchet derivative for the cost function is obtained. At the end, the theorem of the necessary conditions for optimality of this problem is stated and is proved.
In the analysis of multiple linear regression, the problem of multicollinearity and auto-correlation drew the attention of many researchers, and given the appearance of these two problems together and their bad effect on the estimation, some of the researchers found new methods to address these two problems together at the same time. In this research a comparison for the performance of the Principal Components Two Parameter estimator (PCTP) and The (r-k) class estimator and the r-(k,d) class estimator by conducting a simulation study and through the results and under the mean square error (MSE) criterion to find the best way to address the two problems together. The results showed that the r-(k,d) class estimator is the best esti
... Show MoreThe purpose of this paper is to find the best multiplier approximation of unbounded functions in –space by using some discrete linear positive operators. Also we will estimate the degree of the best multiplier approximation in term of modulus of continuity and the averaged modulus.
Total protein and total fucose were determined in sera of thyroid
disorder patients.
Sera of (40) diagnosed by consultant hyperthyroidism, and 40 hypothyroidism were analyzed for the above parameter for control, sera of (40) normal individuals were used.
They were healthy with no appearing disorder results analysis revealed no significant differences (P<0.05) in the (mean ±SD) of total protein values in sera of hyper and hypothyroidism were compared
... Show MoreThis paper investigate a sensorless speed control of a separately excited dc motor fed from a buck type dc-dc converter. The control system is designed in digital technique by using a two dimension look-up table. The performance of the drive system was evaluated by digital simulation using Simulink toolbox of Matlab.
In this study, the electro-hydraulic servo system for speed control of fixed displacement hydraulic motor using proportional valve and (PID) controller is investigated theoretically ,experimentally and simulation . The theoretical part includes the derivation of the nonlinear mathematical model equation of (valve – motor ) combination system and the derivation of the transfer function for the complete hydraulic system , the stability test of the system during the operation through the transfer function using MATLAB package
V7.1 have been done. An experimental part includes design and built hydraulic test rig and simple PID controller .The best PID gains have been calculated experimentally and simulation, speed control performance te
Objective: To assess of Science Teachers' Awareness towards Communicable Diseases Control in Baghdad City
Primary Schools
Methodology: A descriptive study was conducted, included (100) primary school, (50) in Al-Rassafa sector, and
(50) in Al-Karkh sector, from March 5th 2012 to March 15th 2013, to assess of science teachers' awareness
towards communicable diseases control. A cluster sample of (100) Science teachers (males and females) were
selected, as one teacher from each school. A questionnaire format was used for data collection. The validity of
questionnaire was estimated through a penal of experts related to the field of study, and its reliability was
estimated through a pilot study conducted in (20) schools (