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Geometrical Frameworks in Identification Problem

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Intelligent Control and Automation 2021年第2期12卷 17-43页

作者： nikolay karabutov Department of Control Problems MIREA—Russian Technological University Moscow Russia

The purpose of this review is to apply geometric frameworks in identification problems. In contrast to the qualitative theory of dynamical systems (DSQT), the chaos and catastrophes, researches on the application of geometric frameworks have not been performed in identification problems. The direct transfer of DSQT ideas is inefficient through the peculiarities of identification systems. In this paper, the attempt is made based on the latest researches in this field. A methodology for the synthesis of geometric frameworks (GF) is proposed, which reflects features of nonlinear systems. Methods based on GF analysis are developed for the decision-making on properties and structure of nonlinear systems. The problem solution of structural identifiability is obtained for nonlinear systems under uncertainty.

关键词： Framework Nonlinear Dynamic System Phase Portrait Structural Identifi-cation Nonlinearity Structural Identifiability Synchronizability Lag Lya-punov Exponent

Structures, Fields and Methods of Identification of Nonlinear Static Systems in the Conditions of Uncertainty

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Intelligent Control and Automation 2010年第2期1卷 59-67页

作者： nikolay karabutov Moscow State Institute of Radio Engineering Electronics and Automation

The field of structures on set of secants is offered and methods of its construction for various classes of one-valued nonlinearities of static systems are considered. The analysis of structural properties of system is fulfilled on specially generated set of data. Representation on which modification it is possible to judge to nonlinear structure of static systems is introduced. It is shown, that structures of nonlinear static systems have a special V-point. The adaptive algorithm of an estimation of structure of nonlinearity on a class poly-nomial function is offered.

关键词： Structure Identification Algorithm Field of Structures Nonlinear System

Plasma-assisted oxidation of benzoic acid

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Frontiers of Chemical Science and Engineering 2020年第4期14卷 513-521页

作者： Anna Khlyustova nikolay Sirotkin Laboratory of Chemistry of Hybrid Nanomaterials and Supermolecular Systems G.A.Krestov Institute of Solution Chemitry of Russian Academy of SciencesIvanovo 153045Russia

Plasma-assisted oxidation of organic com-pounds is one of the developing technologies for wastewater *** effectively accelerate degradation processes due to plasma generated reactive species and ultra-violet *** of BA in aqueous solutions by the atmospheric pressure glow discharge and underwater diaphragm discharge was studied and monitored by fluorescence and spectrophoto-metric *** type and solution pH affect the formation rates of mono-and dihydroxybenzoic *** derivatives were formed only by glow discharge *** yields of hydroxyl radical were estimated on the kinetics data for the hydroxylation of benzoic *** steps of the hydroxylation processes and further oxidation were described.

关键词： atmospheric pressure glow discharge under-water diaphragm discharge oxidation benzoic acid hydroxyl radical

Saffman–Taylor instability in eccentric cylinders at gaseous cavitation

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Friction 2024年第2期12卷 356-362页

作者： Anatoliy A.MONAKHOV nikolay BUKHARIN Institute of Mechanics Moscow State UniversityMoscow 119899Russia ThermoFluid Solutions Ltd. CalgaryAlberta T3G4E8Canada

A flow of silicon fluid in the gap between eccentric cylinders was studied *** condition of gaseous cavitation inception during the rotation of internal cylinder was *** was shown that at reduction of the gap between cylinders Saffman–Taylor instability appeared on surface of the internal cylinder and then gaseous cavitation was *** of one uniform gas formation appearance under this type of instability was demonstrated.

关键词： gaseous cavitation Saffman-Taylor instability eccentric cylinders friction lubrication theory

EXISTENCE OF SOLUTIONS OF nTH-ORDER NONLINEAR DIFFERENCE EQUATIONS WITH GENERAL BOUNDARY CONDITIONS

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Acta Mathematica Scientia 2020年第1期40卷 226-236页

作者： Alberto CABADA nikolay DIMITROV Departamento de Estatística Análise Matemática e OptimizaciónInstituto de MatemáticasFacultade de MatemáticasUniversidade de Santiago de CompostelaSantiago de CompostelaGaliciaSpain Depatment of Mathematics University of RuseRuse 7000Bulgaria

The aim of this paper is to prove the existence of one or multiple solutions of nonlinear difference equations coupled to a general set of boundary *** to do this,we construct a discrete operator whose fixed points coincide with the solutions of the problem we are looking ***,we introduce a strong positiveness condition on the related Green's function that allows us to construct suitable cones where to apply adequate fixed point *** we have the general existence result,we deduce,as a particular case,the existence of solutions of a second order difference equation with nonlocal perturbed Dirichlet conditions.

关键词： difference equation multiplicity of solutions Green's function positive solutions parameter dependence

Optimal control of natural resources in mining industry

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International Journal of Mining Science and Technology 2015年第2期25卷 193-198页

作者： Petrov nikolay Tanev Angel Electrical Engineering Electronics and AutomationTechnical University-Sofia Faculty of Mathematics and Informatics Sofia University

The paper focuses on the optimal control of natural resources in mining industry. The purpose is to pro- pose an optimal extraction series of these resources during the lifetime of the Mine＇s maintenance. Fol- lowing the proposed optimal control model, a sensitivity analysis has been performed that includes the interest rate impact on the optimal solution. This study shows that the increasing of the interest rate sti- mulates faster extraction of the resources. The discounting factor induces that the resource has to be extracted faster hut this effect is counterbalanced by the diminishing returns of the annual cash flow. At higher parameters of ＂alpha＂ close to one of the power function about 80% from the whole resource will be extracted during the first 4 years of object/mine maintenance. An existence of unique positive root with respect to return of investment has been proposed and proved by two ways： by the ＂method of chords＂ and by using specialized software.

关键词： Optimal control Natural resources Interest rate Sensitivity analysis Method of chords

On Concept Lattices for Numberings

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Tsinghua Science and Technology 2024年第6期29卷 1642-1650页

作者： nikolay Bazhenov Manat Mustafa Anvar Nurakunov Laboratory of Computability Theory and Applied Logic Sobolev Institute of MathematicsNovosibirsk 630090Russia Department of Mathematics School of Sciences and HumanitiesNazarbayev UniversityAstana 010000Kazakhstan Institute of Mathematics National Academy of SciencesBishkek 720071Kyrgyzstan

The theory of numberings studies uniform computations for families of mathematical objects. In this area, computability-theoretic properties of at most countable families of sets S are typically classified via the corresponding Rogers upper semilattices. In most cases, a Rogers semilattice cannot be a lattice. Working within the framework of Formal Concept Analysis, we develop two new approaches to the classification of families S. Similarly to the classical theory of numberings, each of the approaches assigns to a family S its own concept lattice. The first approach captures the cardinality of a family S: if S contains more than 2 elements, then the corresponding concept lattice FC1(S) is a modular lattice of height 3, such that the number of its atoms to the cardinality of S. Our second approach gives a much richer environment. We prove that for any countable poset P, there exists a family S such that the induced concept lattice FC2(S) is isomorphic to the Dedekind-MacNeille completion of P. We also establish connections with the class of enumerative lattices introduced by Hoyrup and Rojas in their studies of algorithmic randomness. We show that every lattice FC2(S) is anti-isomorphic to an enumerative lattice. In addition, every enumerative lattice is anti-isomorphic to a sublattice of the lattice FC2(S) for some family S.

关键词： theory of numberings concept lattice index set complete lattice enumerative lattice Formal Concept Analysis

Ultrathin coating of particles in fluidized bed using submicron droplet aerosol

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Particuology 2020年第6期18卷 23-29页

作者： Maksim Mezhericher Christian Rieck nikolay Razorenov Evangelos Tsotsas Mechanical and Aerospace Engineering Princeton UniversityPrincetonNJ 08544USA Thermal Process Engineering Otto-von-Guericke University39106 MagdeburgGermany Mechanical Engineering Shamoon College of EngineeringBeer Sheva84100Israel

In this work,we demonstrate that particles can be coated in a fluidized bed w让h coating solution provided by a novel aerosol *** droplets are smaller than 1 pim in volume-based diameter,hence they are very much smaller than droplets in conventional spray fluidized bed processes(around 40μm).A proof-of-principle experiment with 30%aqueous coating solution of sodium benzoate and γ-Al2O3 core particles in 150 mm fluidized bed fed with droplet aerosol supplied from the chamber side is *** simultaneously coat and dry the particles,inlet of fluidization air was at 50℃ .Moreover,Monte Carlo simulations of coating with small aerosol and large spray droplets were *** to dramatically smaller building blocks,ultrathin particle coating of high-resolution(very small layer thickness)can be attained with the new aerosol process,with the potential of even going *** coverage of particles is reached substantially faster than in the conv entional process,so that material dema nd is much lower and sensitive materials can be processed in short reside nee *** yield of around 30%was much higher than expected,that is considered to be technically viable and may be enhanced by the recycling of entrained solids or better equipment design.

关键词： Aerosol Fluidized bed Particle Submicron droplet Ultrathin coating

FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

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Acta Mathematica Scientia 2016年第3期36卷 881-890页

作者： nikolay kutev natalia kolkovska milena dimova Institute of Mathematics and Informatics Bulgarian Academy of Sciences 1113 Sofia Bulgaria

Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are derived. The results are valid for initial data with arbitrary high positive energy. The proofs are based on the concave method and new sign preserving functionals.

关键词： Boussinesq equation with linear restoring force finite time blow up arbitrary high positive energy combined power nonlinearities sign preserving functionals