Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342056
A. M. Kamachkin, Gennadiy M. Chitrov, V. N. Shamberov
The paper focuses on the approach based on precise analytical methods of research for nonlinear dynamical systems with a complex structure of the state space. This method allows to analyze behavior of essentially multivariable systems through the dynamic behavior of its basic components, i.e., subsystems (both linear and nonlinear), that have a reduced order state-space. Such approach allows to bring out strict proof of existence of free and forced periodical motions. In most cases the approach allows to complete “partition” of the space of parameters into areas corresponding to qualitatively different dynamic behaviors.
{"title":"Algebraical aspects of parametrical decomposition method","authors":"A. M. Kamachkin, Gennadiy M. Chitrov, V. N. Shamberov","doi":"10.1109/SCP.2015.7342056","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342056","url":null,"abstract":"The paper focuses on the approach based on precise analytical methods of research for nonlinear dynamical systems with a complex structure of the state space. This method allows to analyze behavior of essentially multivariable systems through the dynamic behavior of its basic components, i.e., subsystems (both linear and nonlinear), that have a reduced order state-space. Such approach allows to bring out strict proof of existence of free and forced periodical motions. In most cases the approach allows to complete “partition” of the space of parameters into areas corresponding to qualitatively different dynamic behaviors.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114160167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342158
S. Spivak, N. Morozkin
The article is devoted to the calculating analysis of established filtering process. The results of calculations are presented in graphical form. We calculate the pressure distribution of the viscoplastic oil layer in the problem of stationary filtration. It is assumed that the process of filtering is radially symmetric. The model of finite layer is used. Predetermined pressure is maintained on the boundary of the layer. Oil is considered weakly fluid and its density is determined by formula. At the same time it is assumed that oil viscosity depends on pressure gradient and this dependence is approximated by the sigmoid function. The proposed problem is solved by the method of finite differences using Newton's method to solve the nonlinear system of equations.
{"title":"Analysis of the pressure distribution for viscoplastic oil filtration in the stationary case","authors":"S. Spivak, N. Morozkin","doi":"10.1109/SCP.2015.7342158","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342158","url":null,"abstract":"The article is devoted to the calculating analysis of established filtering process. The results of calculations are presented in graphical form. We calculate the pressure distribution of the viscoplastic oil layer in the problem of stationary filtration. It is assumed that the process of filtering is radially symmetric. The model of finite layer is used. Predetermined pressure is maintained on the boundary of the layer. Oil is considered weakly fluid and its density is determined by formula. At the same time it is assumed that oil viscosity depends on pressure gradient and this dependence is approximated by the sigmoid function. The proposed problem is solved by the method of finite differences using Newton's method to solve the nonlinear system of equations.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"52 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122870890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342233
D. Y. Kuranov, M. Bedrina, N. V. Egorov
In work the electronic structure of thin films of metal-containing organic substances-porphyrins, phthalocyanines and graphene-is investigated. Using the method of density functional theory B3LYP/6-31G, PBE0/6-311G** in software package GAUSSIAN 09 we calculated interatomic distances and angles, the electronic energy levels and the ionization potentials of all compounds. Computed values of the physical characteristics of all systems are in good agreement with the experimental values and supplement them.
{"title":"The structure and electronic properties of organic semiconductors","authors":"D. Y. Kuranov, M. Bedrina, N. V. Egorov","doi":"10.1109/SCP.2015.7342233","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342233","url":null,"abstract":"In work the electronic structure of thin films of metal-containing organic substances-porphyrins, phthalocyanines and graphene-is investigated. Using the method of density functional theory B3LYP/6-31G, PBE0/6-311G** in software package GAUSSIAN 09 we calculated interatomic distances and angles, the electronic energy levels and the ionization potentials of all compounds. Computed values of the physical characteristics of all systems are in good agreement with the experimental values and supplement them.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121763356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342231
E. Kotina, G. Pasechnaya
This paper provides method of 3D velocity field construction based on optical flow. Figures given here illustrate its work on radionuclide images of tomographic researches of heart.
{"title":"3D velocity field for heart tomography","authors":"E. Kotina, G. Pasechnaya","doi":"10.1109/SCP.2015.7342231","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342231","url":null,"abstract":"This paper provides method of 3D velocity field construction based on optical flow. Figures given here illustrate its work on radionuclide images of tomographic researches of heart.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"31 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132766986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342041
S. Y. Kuptsov, S. Kuptsova, Uliana P. Zaranik
In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.
{"title":"On asymptotic quiescent position of nonlinear difference systems with perturbations","authors":"S. Y. Kuptsov, S. Kuptsova, Uliana P. Zaranik","doi":"10.1109/SCP.2015.7342041","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342041","url":null,"abstract":"In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"160 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134041023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342051
V. Starkov, N. Stepenko
The movement of gases (or liquids) with suspended particles was studied. Such mixtures are widely distributed in many natural phenomena: snowstorms, dust and sand storms, mudslides, avalanches, river sediments, etc. The equations of motion in the Stoke's form were used. Trajectories of particles for the various fields of velocity of external flow were calculated.
{"title":"Simulation of particle motion in the given speed fields","authors":"V. Starkov, N. Stepenko","doi":"10.1109/SCP.2015.7342051","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342051","url":null,"abstract":"The movement of gases (or liquids) with suspended particles was studied. Such mixtures are widely distributed in many natural phenomena: snowstorms, dust and sand storms, mudslides, avalanches, river sediments, etc. The equations of motion in the Stoke's form were used. Trajectories of particles for the various fields of velocity of external flow were calculated.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134201288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342058
S. Khryashchev
Control systems with a finite number of control parameters (dynamical polysystems) are considered. It is assumed that a polysystem functions in continuous time, and switchings of control occur in some discrete instants of time. The control goal is a transition of a polysystem from some initial state to arbitrary final state. Controllability of the polysystems is studied. Statistic methods are applied. Some probability characteristics of dynamical polysystems are defined. It is shown that under the rank condition, the switching controls always exist. The values of control times can be found by some numerical methods.
{"title":"Evaluation of control times for continuous dynamical polysystems with control switchings at discrete times","authors":"S. Khryashchev","doi":"10.1109/SCP.2015.7342058","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342058","url":null,"abstract":"Control systems with a finite number of control parameters (dynamical polysystems) are considered. It is assumed that a polysystem functions in continuous time, and switchings of control occur in some discrete instants of time. The control goal is a transition of a polysystem from some initial state to arbitrary final state. Controllability of the polysystems is studied. Statistic methods are applied. Some probability characteristics of dynamical polysystems are defined. It is shown that under the rank condition, the switching controls always exist. The values of control times can be found by some numerical methods.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133365150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342042
B. Zimin, I. Zorin
The authors consider two different ways to solve the problem of stability of a flat form of equilibrium of plate with a through crack. Methods of estimating of critical loading are in the paper. The possibility of non-straight crack moving is demonstrated.
{"title":"On the problem of stability of a planar equilibrum shape of a thin plate with through cracks","authors":"B. Zimin, I. Zorin","doi":"10.1109/SCP.2015.7342042","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342042","url":null,"abstract":"The authors consider two different ways to solve the problem of stability of a flat form of equilibrium of plate with a through crack. Methods of estimating of critical loading are in the paper. The possibility of non-straight crack moving is demonstrated.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"21 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114132469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342044
A. Aleksandrov, E. Aleksandrova, A. Platonov, G. Dai
A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.
{"title":"Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems","authors":"A. Aleksandrov, E. Aleksandrova, A. Platonov, G. Dai","doi":"10.1109/SCP.2015.7342044","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342044","url":null,"abstract":"A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114503375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342144
G. Bilchenko
The possibility to find close-to-convex functions in a class of unit disk mapping onto bounded polygonal domain with rectilinear boundary by means of Schwartz-Christoffel integrals is investigated in the conditions of all possible exponents permutations. The notions of reducible and irreducible exponents collections and uniformly reducible set of collection are introduced. Linear programming problems series solving is offered for investigation of uniformly reducibility of set. An algorithm optimizing the computations by means of special subset of series construction is elaborated. The search of reducing permutation is replaced by search of special Hamiltonian cycle in complete graph. The sufficient conditions of reducibility and irreducibility are obtained. The examples of irreducible collections are constructed. The methods of constructions of new collections from old ones are given. For the above mentioned class of Schwartz-Christoffel integrals the Paatero's theorem about sufficient condition of univalence is generalized.
{"title":"Schwartz-Christoffel integrals reducibility to close-to-convex","authors":"G. Bilchenko","doi":"10.1109/SCP.2015.7342144","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342144","url":null,"abstract":"The possibility to find close-to-convex functions in a class of unit disk mapping onto bounded polygonal domain with rectilinear boundary by means of Schwartz-Christoffel integrals is investigated in the conditions of all possible exponents permutations. The notions of reducible and irreducible exponents collections and uniformly reducible set of collection are introduced. Linear programming problems series solving is offered for investigation of uniformly reducibility of set. An algorithm optimizing the computations by means of special subset of series construction is elaborated. The search of reducing permutation is replaced by search of special Hamiltonian cycle in complete graph. The sufficient conditions of reducibility and irreducibility are obtained. The examples of irreducible collections are constructed. The methods of constructions of new collections from old ones are given. For the above mentioned class of Schwartz-Christoffel integrals the Paatero's theorem about sufficient condition of univalence is generalized.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114560972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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