The Experts below are selected from a list of 321 Experts worldwide ranked by ideXlab platform
Veli B Shakhmurov - One of the best experts on this subject based on the ideXlab platform.
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Uniform separable Differential Operators with parameters
Journal of the Franklin Institute, 2010Co-Authors: Ravi P. Agarwal, Donal O'regan, Veli B ShakhmurovAbstract:Abstract In this paper we study boundary value problems for anisotropic partial Differential-Operator equations with parameters. The principal part of the appropriate Differential Operators are not self-adjoint. Several conditions for the uniform separability in weighted Banach-valued L p -spaces are given. Sharp estimates for the resolvent of the corresponding Differential Operator are obtained. In particular the positivity and R-positivity of these Operators are established. As an application we study the separability of degenerate DOEs, maximal regularity for degenerate abstract parabolic problem with parameters, the uniform separability of finite and infinite systems for degenerate anisotropic partial Differential equations with parameters.
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embedding Operators and maximal regular Differential Operator equations in banach valued function spaces
Journal of Inequalities and Applications, 2005Co-Authors: Veli B ShakhmurovAbstract:This study focuses on anisotropic Sobolev type spaces associated with Banach spaces , . Several conditions are found that ensure the continuity and compactness of embedding Operators that are optimal regular in these spaces in terms of interpolations of and . In particular, the most regular class of interpolation spaces between , , depending of and order of spaces are found that mixed derivatives belong with values; the boundedness and compactness of Differential Operators from this space to -valued spaces are proved. These results are applied to partial Differential-Operator equations with parameters to obtain conditions that guarantee the maximal regularity uniformly with respect to these parameters.
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coercive boundary value problems for regular degenerate Differential Operator equations
Journal of Mathematical Analysis and Applications, 2004Co-Authors: Veli B ShakhmurovAbstract:Abstract This study focuses on nonlocal boundary value problems (BVP) for degenerate elliptic Differential-Operator equations (DOE), that are defined in Banach-valued function spaces, where boundary conditions contain a degenerate function and a principal part of the equation possess varying coefficients. Several conditions obtained, that guarantee the maximal L p regularity and Fredholmness. These results are also applied to nonlocal BVP for regular degenerate partial Differential equations on cylindrical domain to obtain the algebraic conditions that ensure the same properties.
Sang Bong Kim - One of the best experts on this subject based on the ideXlab platform.
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A MIMO Robust Servo Controller Design Method for Omnidirectional Automated Guided Vehicles Using Polynomial Differential Operator
AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application, 2020Co-Authors: Van-lanh Nguyen, Hak Kyeong Kim, Choong Hwan Lee, Sung Won Kim, Dae-hwan Kim, Sang Bong KimAbstract:This paper proposes a MIMO robust servo controller design method for a three wheeled Omnidirectional Automated Guided Vehicles (OAGVs) with a disturbance to track desired references using a polynomial Differential Operator. The process for designing the proposed controller can be described as follows: Firstly, modeling of the MIMO three-wheeled OAGV are presented. Secondly, a new extended system is obtained by applying the polynomial Differential Operator to the state space model and the output velocity error vector. Thirdly, the proposed controller for the given plant is designed by using the pole assignment method. By applying an inverse polynomial Differential Operator, a servo compensator is obtained. Finally, in order to verify the effectiveness of the proposed controller, the numerical simulation results are shown. The simulation results show that the proposed controller has good tracking performance under a step type of disturbance and the complicated higher order reference signals such as ramp and parabola. These simulation results are compared with those of the adaptive controller proposed by Bui, T. L. in 2013. The proposed controller shows the better tracking performance than the adaptive controller.
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application of servo controller design for speed control of ac induction motors using polynomial Differential Operator
2016Co-Authors: Dae-hwan Kim, Phuc Thinh Doan, Pandu Sandi Pratama, Van Tu Duong, Jung Hu Min, Young Seok Jung, Sang Bong KimAbstract:This paper proposes a servo controller design method for speed control of AC induction motors using polynomial Differential Operator. To do this task, the followings are done. First, nonlinear modeling for an induction motor is introduced and is linearized at equilibrium points using Taylor’s series. Second, an observer is designed to estimate flux, and an extended system incorporating the internal model principle to construct the extended system is shown using polynomial Differential Operator in case that the types of reference inputs are Differential polynomials. Third, a state feedback control law for the extended system to track the given reference input is designed by a regulator design method. A control system is constructed for speed control of the 1.5 KW AC induction motor. The simulation and experimental results are shown to verify the applicability of the proposed controller compared to conventional PI controller for the AC induction motor with a step type of disturbance to track its speed of 3 types of the references such as step, ramp and parabola.
Janusz Sokol - One of the best experts on this subject based on the ideXlab platform.
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new subclass of analytic functions in conical domain associated with ruscheweyh q Differential Operator
Results in Mathematics, 2017Co-Authors: Shahid Mahmood, Janusz SokolAbstract:The core object of this paper is to define and study a new class of analytic functions using the Ruscheweyh q-Differential Operator. We also investigate a number of useful properties of this class such structural formula and coefficient estimates for functions. We consider also the Fekete–Szego problem in the class, we give some subordination results, and some other corollaries.
Toshihiro Yamamoto - One of the best experts on this subject based on the ideXlab platform.
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two step monte carlo sensitivity analysis of alpha and gamma eigenvalues with the Differential Operator sampling method
Annals of Nuclear Energy, 2019Co-Authors: Toshihiro Yamamoto, Hiroki SakamotoAbstract:Abstract A new Monte Carlo method is developed to calculate the sensitivity coefficients of the α-eigenvalue (the time decay constant) and the γ-eigenvalue (the spatial decay constant in an exponential experiment) with respect to nuclear data. A method that was previously developed for the sensitivity analyses of the α-eigenvalue, which is not based on the normal k-α algorithm, is not applicable to the γ-eigenvalue due to its inability to obtain a converged source distribution. Then, a two-step method in which two sensitivity coefficients are separately calculated using the k-α or k-γ algorithm and the Differential Operator sampling method is newly developed. The sensitivity coefficient of the α- or γ-eigenvalue is represented by the ratio of the two sensitivity coefficients. Some numerical tests for three-energy group problems are performed using the new method. The sensitivity coefficients that are obtained by the new method are verified by comparing them to the solutions of deterministic transport calculations or to the approximate results that are obtained from the direct perturbations of the cross-sections.
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a monte carlo technique for sensitivity analysis of alpha eigenvalue with the Differential Operator sampling method
Annals of Nuclear Energy, 2019Co-Authors: Toshihiro Yamamoto, Hiroki SakamotoAbstract:Abstract A method for Monte Carlo sensitivity analyses of α-eigenvalue (prompt neutron time decay constant) in a subcritical system is developed using the first-order Differential Operator sampling (DOS) method. The first-order derivative of α-eigenvalue with respect to nuclear data is calculated using the DOS method that includes the capability of calculating perturbed source effect. This paper is an extension of the author’s previous work for development of the sensitivity analysis method for keff-eigenvalue. Unlike the conventional Monte Carlo method for α-eigenvalue calculation that uses the power iteration of fission sources, this paper introduces a recently developed “time source method”. The “time source method” has a weakness for a void-containing subcritical system, which is overcome by assigning a virtual total cross section in the void region. The perturbed source effect, which is caused by the change of nuclear data in a subcritical system, can be calculated by two methods, the source perturbation iteration method and the superhistory method. The source perturbation iteration method is superior in terms of computation efficiency, but a huge computer memory is required. The superhistory method dramatically reduces the memory requirement, although it worsens the variance of the sensitivity coefficients. The method developed in this paper is applied to some numerical tests that use multi-group constants, and it is verified by comparing to the results obtained by a deterministic perturbation theory.
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eigenvalue sensitivity analysis capabilities with the Differential Operator method in the superhistory monte carlo method
Annals of Nuclear Energy, 2018Co-Authors: Toshihiro YamamotoAbstract:Abstract This paper applies the first-order Differential Operator method to the Monte Carlo k eff -eigenvalue sensitivity analyses. The effect of the perturbed fission source distribution due to the change of a cross section on the sensitivity coefficients can be accurately estimated by introducing the source perturbation iteration method. However, a prohibitively huge memory is required for the source perturbation iteration method if a large number of sensitivity coefficients are calculated at the same time. For a reduction of the memory requirements, the superhistory method is applied to incorporate the effect of the source perturbation into the Differential Operator method for sensitivity analyses. In the superhistory method, one source particle and its progenies are followed over super-generations within one cycle calculation. It is not necessary to wait or store a large amount of information until all histories in each cycle are terminated. Although the superhistory method increases the variance of the sensitivity coefficients with the super-generation, the memory requirement can be dramatically reduced by introducing the superhistory method. The first-order Differential Operator method combined with the superhistory method is verified through some numerical examples where a localized cross section change significantly affects the sensitivity coefficients.
Maslina Darus - One of the best experts on this subject based on the ideXlab platform.
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some subordination results on analogue of ruscheweyh Differential Operator
Abstract and Applied Analysis, 2014Co-Authors: Huda Aldweby, Maslina DarusAbstract:We derive the -analogue of the well-known Ruscheweyh Differential Operator using the concept of -derivative. Here, we investigate several interesting properties of this -Operator by making use of the method of Differential subordination.
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Generalization of Differential Operator
Journal of Mathematics and Statistics, 2008Co-Authors: Maslina Darus, Rabha W. IbrahimAbstract:The main objective of this study was to generalize a Differential Operator. The generalized Differential Operator reduced to many known Operators studied by various authors. New classes containing this generalized Operator were studied and characterization of these classes was obtained. Further, subordination and superordination results involving this Operator were studied and obtained the sandwich theorem.
