Все статьи журнала
In this paper we analyze the stability of the two-parametric secant type method to errors calculations for solving nonlinear equations and estimate the total error.
Parameter estimation for Levy processes has generated much research effort lately with a strong injection of interest coming from finance. Within this context the problem can be framed as estimation using increments from an infinitely divisible distribution, for which empirical characteristic functions (ecf) are convenient tools. However convergence of ecf’s to Gaussian processes has not been exploited as fully as it might have been.
Estimates for the convergence speed models isotropic random fields on the sphere in the norms of Orlich space. The resulting estimates are used to construct models of random fields on the sphere. Models approximate the random field with given accuracy and reliability.
This paper contains the substantiation of the scheme of partial averaging for one class of hybrid systems where one equation is a differential equation with Hukuhara derivative and the other one is an ordinary differential equation.
The creation and justification of the methods for guaranteed estimation of linear functionals from solutions to the boundary value problems for linearized stationary Navier-Stokes equations in bounded open Lipschitzian domains are considered.
In this paper, we discuss a method of auxiliary controlled models and the application of this method to solving some problems of robust control for differential equations. As objects for the approbation of the method, a system of nonlinear differential equations describing some ecological and economic processes is used. A solving algorithm, which is stable with respect to informational noises and computational errors, is presented.
The concept of languages similarity of Petri nets is introduced. It is determined, that mapping of languages similarity of Petri nets is a surjective homomorphism. The similarity of languages of component Petri net and original detailed Petri model of the investigated parallel distributed system is considered. The work reveals that the language of the original detailed Petri net model can always be restored using the language of its component model.
В статье обобщены теоретические и практические результаты исследований по проблеме интеллектуализации принятия решений в условиях глобальной информационно-коммуникационной среды. Результаты получены в рамках выполнения соответствующих научных программ и реализации различных (в том числе и международных) прикладных проектов.
In this paper consider the optimal control problem on infinite time interval with quadratic cost functional. State of this problem is defined by the evolutionary inclusion of reaction-diffusion type. We prove the solvability of such a problem. In the case of rapidly oscillating coefficients in coefficients of differential operator and multivalued interaction function we prove the convergence of $\varepsilon $-dependent optimal process to optimal process of the corresponding averaged problem.
The first part of the paper designs a deterministic model to describe cancer prevalence and mortality in a population. Next the asymptotic properties of the model are investigated. In the second part, the model is applied to real-world data. For selected model data, a numerical solution is found to the differential equations describing the model, a long-term prediction is made with its results compared with those of predictions made by regression analysis, which are often used to model the prevalence and mortality in the present literature.
The algorithm of reduction of the number of carrier elements of a discrete fuzzy number with the realization of an opportunity to save the information about values is proposed in the article. It is proposed that the information is given by the fuzzy number.
Problem of grouping information: recovering function, represented by its observations, and the of classification (problem) clusterization problem, is of great importance for applied research. Choice of math object which represent the object under investigations largely determines the effectiveness: scalars, vectors or objects of other kinds. Such choice is determined by the richness of mathematical structures within which “representatives” are investigated. Euclidean spaces Rn are common in this choosing.
The paper introduces the classification of informational situations for a zero-sum game with incomplete information based on uncertainty level. For each case the possible ways to deal with uncertainty are considered.
In the paper we develop solve-operator methods for high order modelling, simulation and optimization of risk controlled stochastic processes described by general graph-operator control systems with incomplete data.
In the paper we define generalized solutions of the optimization problems for control systems with partial derivatives and develop two types of numerical algorithms for calculating the generalized solutions.
The optimization problem with precedent (training sample) initial information is considered. Some approaches for reconstruction of the target function of such optimization problem are proposed. The open problems that must be solved to obtain better quality solutions of this problem are highlighted.
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