scholarly journals On an Identification Problem on the Determination of the Parameters of the Dynamic System

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Dossan Baigereyev ◽  
Nevazi Ismailov ◽  
Yusif Gasimov ◽  
Atif Namazov
Keyword(s):  
Inverse Problem ◽  
Dynamic System ◽  
Calculation Method ◽  
Identification Problem ◽  
Quadratic Functional ◽  
Nonlinear Ordinary Differential Equations ◽  
Quasilinearization Method ◽  
The Right ◽  
The Given

An inverse problem is considered for the determination of the parameters, involved in the right-hand side of the system of nonlinear ordinary differential equations by given initial and final conditions. The solution of the problem is reduced to the minimization of the quadratic functional, which indeed is a deviation of the value of the solution from the given values at the end points. Using the quasilinearization method a calculation method is proposed to the solution of the considered problem. The application of this method is demonstrated on the example of the determination of the hydraulic resistance in the tubes.

scholarly journals A Note on the Right-Hand Side Identification Problem Arising in Biofluid Mechanics

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Abdullah Said Erdogan
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Identification Problem ◽  
Well Posedness ◽  
Space Operator ◽  
One Dimensional ◽  
Dimensional Diffusion ◽  
Right Hand ◽  
Variable Space ◽  
The Right

The inverse problem of reconstructing the right-hand side (RHS) of a mixed problem for one-dimensional diffusion equation with variable space operator is considered. The well-posedness of this problem in Hölder spaces is established.

scholarly journals Penerapan Metode Inferensi Fuzzy Takagi Sugeno-Kang Untuk Prediksi Hasil Panen Kelapa Sawit

2019 ◽  
Vol 2 (2) ◽  
Author(s):  
Budi Yanto ◽  
erni Rouza ◽  
edi saputra
Keyword(s):  
Palm Oil ◽  
Oil Palm ◽  
Fuzzy Inference ◽  
Linear Equations ◽  
Input Variables ◽  
The Right ◽  
Takagi Sugeno ◽  
Target Determination ◽  
The Given

Palm oil is one of the main crops and seeds in Indonesia. In oil palm plantations, oil palm crops are the most important things. Oil palm crops in the right time and quantity are what the farmers want. Therefore, harvest prediction using as reference of palm oil harvest target. Determination of harvest targets required a method that is able to predict the yield of oil palm. In this research, built a system of fuzzy inference with TSK method (Takagi Sugeno Kang), which aims to predict the yield of oil palm farmers. The fuzzy rules in the form of IF antecedent THEN are consequent, using consequent linear equations of the input variables. The coefficients of each variable of linear equation are consequently derived based on the expected yield of the harvest. The results of prediction testing of Palm Oil harvest production in 3 seasons, namely Dry Season, Rainy Season, Fertilization, input the number by values of variable with to the given range prove that the fuzzy inference of the TSK method can calculate palm il crop predictions well.

scholarly journals On determination of the permittivity through the module of the vector of the electric strength of the high-frequency electromagnetic field

2019 ◽  
Vol 484 (3) ◽  
pp. 269-272
Author(s):  
V. G. Romanov
Keyword(s):  
Inverse Problem ◽  
Electric Fields ◽  
High Frequency ◽  
Inverse Kinematic ◽  
Point Sources ◽  
Electric Strength ◽  
Inverse Kinematic Problem ◽  
High Frequency Electromagnetic Field ◽  
The Given

For nonmagnetic and nonconductive medium the system of electrodynamic equations that corresponds to periodic in time oscillations is considered. An inverse problem of determining permittivity in this system by the given module of the electric strength is studied. It is supposed that the electric fields is a result of the interference of two fields created by point sources. The permittivity e(x) is assumed to be differ from a given positive constant e0 inside of a compact domain W0 Ì R3 only. An information on module of the electric strength is given on the boundary of the domain W contained W0 inside itself and for all frequencies beginning with some fixed frequency w0. The asymptotic behavior of solution of a direct problem related to the electrodynamic equations is studied and the original inverse problem is reduced to the well known inverse kinematic problem. This reduction open a way for constructive solution of the inverse phaseless problem.

Determination of the mean multiplicity of particles produced in a nuclear interaction using the method of the inverse problem

1968 ◽  
Vol 46 (10) ◽  
pp. S718-S721
Author(s):  
V. A. Astafiev
Keyword(s):  
Inverse Problem ◽  
Simple Model ◽  
Energy Range ◽  
Good Accuracy ◽  
Nuclear Interaction ◽  
Energy Spectra ◽  
Low Energies ◽  
The Mean ◽  
The Given

The possibility of the determination of the mean multiplicity of secondaries, n(E), with the aid of the cascade characteristics has been studied using the nuclear cascade with one-type particles as an example. For the simple model of interaction with the inelasticity coefficient k = 1 the energy spectra of particles in the showers produced by the particles of various energies have been calculated. The function n(E) has been restored in the higher-energy range on the assumption that the calculated spectra are known from the "experiment," and the function n(E) at low energies has been measured within good accuracy. Estimates of the accuracy of the cascade data necessary for determining n(E) within the given accuracy are presented.

APPROXIMATION AND PARAMETER ESTIMATION PROBLEMS FOR ALGAL AGGREGATION MODELS

1994 ◽  
Vol 04 (03) ◽  
pp. 291-311 ◽  
Author(s):  
AZMY S. ACKLEH ◽  
BEN G. FITZPATRICK ◽  
THOMAS G. HALLAM
Keyword(s):  
Inverse Problem ◽  
Parameter Estimation ◽  
Identification Problem ◽  
Convergence Theory ◽  
Biological Phenomena ◽  
Aggregation Processes ◽  
Estimation Problems ◽  
Parameter Identification Problem ◽  
Collocation Scheme

Aggregation processes are intrinsic to many biological phenomena including sedimentation and coagulation of algae during bloom periods. A fundamental but unresolved problem associated with aggregate processes is the determination of the “stickiness function,” a measure of the ability of particles to adhere to other particles. This leads to an inverse problem associated with a class of nonlinear integro-differential equations. The purpose of this article is to develop convergence theory for this algal coagulation model utilizing a spline-based collocation scheme within the context of the parameter identification problem.

scholarly journals Nonpotentiality of a diffusion system and the construction of a semi-bounded functional

2021 ◽  
Vol 104 (4) ◽  
pp. 118-129
Author(s):  
V.M. Savchin ◽  
◽  
L.T. Huyen
Keyword(s):  
Inverse Problem ◽  
Boundary Value Problem ◽  
Variational Methods ◽  
Variational Principles ◽  
Boundary Value ◽  
Diffusion System ◽  
System Of Equations ◽  
The Given ◽  
Variational Formulations

The wide prevalence and the systematic variational principles are used in mathematics and applications due to a series of remarkable consequences among which the possibility to establish the existence of the solutions of the initial equations, and the determination of stable approximations of the solutions of the considered equations by the so-called variational methods. In this connection, it is natural for a given system of equations to investigate the problem of the existence of its variational formulations. It can be considered as the inverse problem of the calculus of variations. The main goal of this work is to study this problem for a diffusion system of partial differential equations. A key object is the criterion of potentiality. On its ground, the nonpotentiality of the operator of the given boundary value problem with respect to the classical bilinear form is proved. This system does not admit a matrix variational multiplier of the given form. Thus, the diffusion system cannot be deduced from the classical Hamilton’s principle. We posed the question that whether there exists a functional semi-bounded on solutions to the boundary value problem. We have done the algorithm of the constructive determination of such a functional. The main value of constructed functional action will be in applications of direct variational methods.

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