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Article
Optimizing the Management of the Global FES and Adjusting its Dynamics, Taking into Account the Financial Flows of Decentralized Currencies
The author proposes an adjustment and analysis of the variability of the mathematical models of the dynamics of the global financial and economic system (FES) caused by financial flows of capital movements of ...
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Article
Managing the Capital Transfer Market and Optimizing Management of the World Economic and Banking Systems Under the Conditions of Globalization. Regulating Regulators
The peculiarities of regulating the dynamics of the world financial and economic system (FES) under the conditions of globalization are considered. It is proposed to use the matrix of the cross movement of cap...
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Article
Application of Decomposition Algorithms to Accelerate the Processing of Large Data Arrays in the GIS
The technology and decomposition algorithm for accelerating the processing of geoinformation data based on the distribution of samples of dynamic and quasi-static data using the analysis of eigenvalues of matr...
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Article
Analyzing Metabolic Processes to Optimize the Technical and Economic Indicators of Microgrid Systems
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Article
An Algorithm for Decomposition Control and Prediction of Trajectories of Nonlinear Stochastic Systems Under Different-Speed Processes in Their Dynamics
The author proposes a decomposition algorithm for predicting the trajectories of nonlinear stochastic systems whose dynamics contain subprocesses significantly different in speed. The algorithm is focused on r...
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Article
Mathematical Modeling of the Dynamics of Crisis Situations and Optimization of Capital Relocation Market Management in the Context of Globalization in the World Financial and Economic System
The article continues a series of studies analyzing the features of capital relocation (movement) and mathematical modeling of the dynamics of the world financial and economic system (FES) in the context of gl...
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Article
Modeling the Control Effects of the Banking System on the Functioning of the Economy. III. Calculation and Decomposition of Models with a Stepped Boundary Layer*
A mathematical formalism is proposed for calculating mathematical models of financial and economic systems (FES) and determining the optimal values of control parameters for the case of a stepped boundary laye...
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Article
Optimization of the Selection of Software Elements in Control Systems with Significantly Different-Speed Processes
We present a comparative analysis of various methods for solving the problem of determining the spectral characteristics of mathematical models of control systems (decision support systems). It is suggested th...
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Article
Modeling the Control Effects of the Banking System on the Functioning of the Economy. II. Selection and Special Features of Application of Optimization Algorithms
The mathematical formalism of accounting of the effects of splashing out, foaming, and reverse momentum in the formation of complete mathematical models of the dynamics of the financial-economic systems is con...
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Article
Application of Blockchain Technologies for Improving the Quality of ACS of Complex Dynamic Systems
This paper examines the use of blockchain technologies for improving the quality of control systems of complex distributed dynamic systems. The technology of the structured blockchain registry is presented. A ...
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Article
Modeling the Control Effects of the Banking System on the Functioning of the Economy. I. Dynamics and Adjustment of Crisis Situations
The paper examines mathematical modeling of the dynamics of the global financial and economic system. The features of the full mathematical model of the financial-economic system are indicated. The choice of t...
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Article
Formation of a New Conception and a Paradigm of Constructing Cybersecurity Systems
A new conception and a paradigm are formulated for constructing cybersecurity systems adequate to the threats of unauthorized decoding with existing and predicted capacities of supercomputers and neural networ...
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Article
Solving the Problem of Dynamic Adaptability of Artificial Intelligence Systems that Control Dynamic Technical Objects
This paper investigates the increase in the response speed and stability of artificial intelligence systems that control dynamic technical objects. The problem of calculating the optimal time of switching an a...
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Article
Mathematical Modeling of the Effect of “Splashing out” and Optimization of Management of Banking and Economic Systems Under Globalization Conditions
The problem of mathematical modeling of the “splashing out” effect is considered. The existence of this phenomenon was observed some time ago by specialists-practitioners who were forced to make management dec...
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Article
Geoinformation support of cartographic-space monitoring of Siberia’s Arctic zone
A rationale is provided for the need and current importance of establishing a cartographic-space monitoring of Siberia’s Arctic zone in conditions of an increased interest in the exploitation of the region’s n...
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Article
Using Algorithms of Decomposition for Computation of Linear Stochastic Models
The mathematical apparatus of decomposition is used to solve the problem of analysis and computation of stiff stochastic systems of differential equations. A theorem substantiating the adequacy of a solution o...
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Article
Convergence of Algorithms of the Order Reduction Method in Analysis of Nonlinear Mathematical Models of Fragments of Automatic Control Systems and Process Control Systems
A theorem determining adequacy conditions for reduction of dimension in a specified class of mathematical models of nonlinear dynamic systems is formulated and proved.
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Article
State estimation and filtering in stochastic systems using adequate simplification
The method of order reduction in solving stochastic problems of state estimation and filtering is considered. The method presented concerns the case where mathematical models of objects being studied are defin...
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Article
Order reduction method and adequate simplification of sae models with uncertain coefficients
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Article
Organization of parallel computational processes to compute step boundary layer models
