Lectures on Functional Analysis and Applications

Pugachev, V S; Sinitsyn, I. N.

doi:10.1142/3987

Cited by 16 publications

(16 citation statements)

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“…At first let us consider deterministic multidimensional dynamical system described by the following nonlinear differential and difference equations [1,5]:…”

Section: Problem Statementmentioning

confidence: 99%

“…Let us find general solution by variational method [1]. For this purpose we compose mixed (from continuous and discrete functions) Lagrange functional (Lagrangian):…”

Section: General Solutionmentioning

confidence: 99%

“…Secondly, we consider optimization problems for complex of enterprises being part of virtual enterprise (VE). 1 In broad sense VE 1 Virtual enterprise is such an enterprise that consolidates geographically separated economical subjects and interact in the process mutual production using chiefly electronical communicational means.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike the existing methodology the suggested stochastic methodology firstly takes into account stochastic optimal planning processes dynamics and secondly performs current operative control using modern methods of stochastic analysis, modeling and estimation (filtering, for casting, identification, etc.) and control methods and technologies [1][2][3][4]. It gives opportunity to raise the level and the quality of OTES control by means of informational-analytical tools (IAT).…”

Section: Introductionmentioning

confidence: 99%

“…Taking into account that firstly π * t ðÞimplicitly incoming into right hand of Eq. (42) and U * k secondly U * k and π * t ðÞimplicitly connected between each other over ψ 1, kþ0 such numerical methods as gradient method may be used [1,23]. According to gradient method next i þ 1 ðÞ iteration of π * t ðÞis calculated by…”

mentioning

confidence: 99%

See 4 more Smart Citations

Probabilistic Modeling, Estimation and Control for CALS Organization-Technical-Economic Systems

Sinitsyn¹,

Shalamov²

2020

Probability, Combinatorics and Control

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Theoretical propositions of new probabilistic methodology of analysis, modeling, estimation and control in stochastic organizational-technical-economic systems (OTES) based on stochastic CALS informational technologies are considered. Stochastic integrated logistic support (ILS) of OTES modeling life cycle (LC), stochastic optimal of current state estimation in stochastic media defined by internal and external noises (including specially organized OTES-NS (noise support) and stochastic OTES optimal control) according to social-technical-economic-support criteria in real time by informational-analytical tools (IAT) of global type are presented. OTES-CALS are nonlinear and continuous-discrete. So we use approximate methods of normal approximation of probabilistic densities both for modeling and estimation. Spectrum of possibilities may be broaden by solving problems of OTES-CALS integration for existing markets of finances, goods and services. Analytical modeling, analysis, parametric optimization and optimal stochastic processes regulation in limits of illustrate some technologies and IAT given plans.

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“…At first let us consider deterministic multidimensional dynamical system described by the following nonlinear differential and difference equations [1,5]:…”

Section: Problem Statementmentioning

confidence: 99%

“…Let us find general solution by variational method [1]. For this purpose we compose mixed (from continuous and discrete functions) Lagrange functional (Lagrangian):…”

Section: General Solutionmentioning

confidence: 99%