Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342139
R. Aminov, A. Ovsyannikov
In this paper the mathematical problem of optimization of control parameters of the initial plasma stage in ITER is considered. To construct a mathematical model of optimization one used a model of dynamics of the currents in poloidal circuits of tokamak. The aim in the studied optimization problem is the creation of conditions for the breakdown of the plasma, as well as its further development in accordance to a specified scenario of rise of the plasma current at the initial stage.
{"title":"Optimization approach to solving the problem of start of the discharge in the ITER tokamak","authors":"R. Aminov, A. Ovsyannikov","doi":"10.1109/SCP.2015.7342139","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342139","url":null,"abstract":"In this paper the mathematical problem of optimization of control parameters of the initial plasma stage in ITER is considered. To construct a mathematical model of optimization one used a model of dynamics of the currents in poloidal circuits of tokamak. The aim in the studied optimization problem is the creation of conditions for the breakdown of the plasma, as well as its further development in accordance to a specified scenario of rise of the plasma current at the initial stage.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"113 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":"124119135","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.2015.7342155
Yuliya V. Malkova, V. M. Malkov
Exact analytical solution of a non-linear plane-strain problem is obtained for a plate with an elastic elliptic inclusion subjected to uniform remote nominal (Piola) stresses. The conditions of continuity are performed for the nominal stresses and displacements at a contour of inclusion. Mechanical properties of a plate and an inclusion are described by model of a John's harmonic material. This model has allowed to use complex-variable methods for a solution of non-linear plane-strain problems. It is supposed that a state of stress inside inclusion is uniform (tensor of nominal stresses is constant). By this assumption the complicated non-linear problem of conjugation of two bodies of different materials reduce to the solution of two more simple problems for a plate with an elliptic hole. The validity of this hypothesis is proved by that obtained solution satisfies precisely to all equations and boundary conditions of problem. Similar hypothesis was used at a solution of linear and non-linear problems about elliptic inclusion.
{"title":"Large deformations of a plate with an elastic elliptic inclusion for John's harmonic material","authors":"Yuliya V. Malkova, V. M. Malkov","doi":"10.1109/SCP.2015.7342155","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342155","url":null,"abstract":"Exact analytical solution of a non-linear plane-strain problem is obtained for a plate with an elastic elliptic inclusion subjected to uniform remote nominal (Piola) stresses. The conditions of continuity are performed for the nominal stresses and displacements at a contour of inclusion. Mechanical properties of a plate and an inclusion are described by model of a John's harmonic material. This model has allowed to use complex-variable methods for a solution of non-linear plane-strain problems. It is supposed that a state of stress inside inclusion is uniform (tensor of nominal stresses is constant). By this assumption the complicated non-linear problem of conjugation of two bodies of different materials reduce to the solution of two more simple problems for a plate with an elliptic hole. The validity of this hypothesis is proved by that obtained solution satisfies precisely to all equations and boundary conditions of problem. Similar hypothesis was used at a solution of linear and non-linear problems about elliptic inclusion.","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":"126394623","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.2015.7342176
A. Krylatov, V. Zakharov, I. Malygin
The most travel delays in daily trips in modern large urban areas take place primarily at signal-controlled junctions due to regular interruption by alternating traffic lights. Therefore in urban traffic control road networks alleviation increasing of traffic congestion at signalized junctions becomes one of the most significant issues, facing decision makers at various levels of management. This paper is devoted to development of methodological tools to cope with problem of settings traffic signals for congested transportation network. The global traffic control system is assumed to define timing parameters of signals for the whole transportation network. Users of network are believed to react on any fixed signal setting, assigning according to user-equilibrium of Wardrop. Thus, the global optimal signal settings problem under user network equilibrium conditions is formulated as bi-level optimization program. When travel time is modeled by modified linear BPR cost function, the user-equilibrium flow patterns for two intersecting networks of parallel routes could be obtained as explicit condition of the lower programming level.
{"title":"Signal control in a congested traffic area","authors":"A. Krylatov, V. Zakharov, I. Malygin","doi":"10.1109/SCP.2015.7342176","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342176","url":null,"abstract":"The most travel delays in daily trips in modern large urban areas take place primarily at signal-controlled junctions due to regular interruption by alternating traffic lights. Therefore in urban traffic control road networks alleviation increasing of traffic congestion at signalized junctions becomes one of the most significant issues, facing decision makers at various levels of management. This paper is devoted to development of methodological tools to cope with problem of settings traffic signals for congested transportation network. The global traffic control system is assumed to define timing parameters of signals for the whole transportation network. Users of network are believed to react on any fixed signal setting, assigning according to user-equilibrium of Wardrop. Thus, the global optimal signal settings problem under user network equilibrium conditions is formulated as bi-level optimization program. When travel time is modeled by modified linear BPR cost function, the user-equilibrium flow patterns for two intersecting networks of parallel routes could be obtained as explicit condition of the lower programming level.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"1 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":"129268445","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.2015.7342129
V. Karelin, V. Bure, L. Polyakova
Suppose that similar terminals of several companies are in relative proximity to each other. Each company carries out transportation and storage of cargoes. If the terminal is crowded then the company can rent a portion of a terminal of another company. On contrary, if the terminal of some company is not sufficiently loaded, then the portion of the terminal can be suggested in the lease to another company.
{"title":"About probabilistic model of the terminal operation","authors":"V. Karelin, V. Bure, L. Polyakova","doi":"10.1109/SCP.2015.7342129","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342129","url":null,"abstract":"Suppose that similar terminals of several companies are in relative proximity to each other. Each company carries out transportation and storage of cargoes. If the terminal is crowded then the company can rent a portion of a terminal of another company. On contrary, if the terminal of some company is not sufficiently loaded, then the portion of the terminal can be suggested in the lease to another company.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"33 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":"131441143","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.2015.7342213
G. Rogachev, P. Tyan
In this paper we consider the problem of mobile robot motion planning in a heterogeneous environment consisting of mandatory to visit zone and prohibited areas. Control system rules synthesis is proposed to be conducted with vaguely defined requirements for object behaviour. Examples of using this method for solving the problem of mobile robot control system synthesis are given.
{"title":"Fuzzy goals and constraints in mobile robot motion planning problem in a heterogeneous environment","authors":"G. Rogachev, P. Tyan","doi":"10.1109/SCP.2015.7342213","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342213","url":null,"abstract":"In this paper we consider the problem of mobile robot motion planning in a heterogeneous environment consisting of mandatory to visit zone and prohibited areas. Control system rules synthesis is proposed to be conducted with vaguely defined requirements for object behaviour. Examples of using this method for solving the problem of mobile robot control system synthesis are given.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"70 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":"131825039","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.2015.7342194
T. Andreeva, M. Bedrina
Vibrational spectrum of molecules is an important characteristic of the material, which allows to identify different molecular structures. Determination of vibrational frequencies complete set is needed for the calculation of the thermodynamic functions of simple substance formation. We found complexes of 4-n-pentyl-4'-cyanobiphenyl (CB5) molecules with the most advantageous energy structure in a vacuum. Also frequencies of the normal vibrations of the studied systems were calculated. CB5 molecule is widely used as a liquid crystal, the properties of which were studied using various computational and experimental methods [1]-[6]. Cyanobiphenyl liquid crystal phase CB5 was observed by infrared spectroscopy with the frequency of 2252 cm-1. In this regard, we can assume that vibration band consists of several points corresponding to different values of oscillation frequencies.
{"title":"Change of structural and spectral characteristics in the liquid crystal phase under the influence of an electric field","authors":"T. Andreeva, M. Bedrina","doi":"10.1109/SCP.2015.7342194","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342194","url":null,"abstract":"Vibrational spectrum of molecules is an important characteristic of the material, which allows to identify different molecular structures. Determination of vibrational frequencies complete set is needed for the calculation of the thermodynamic functions of simple substance formation. We found complexes of 4-n-pentyl-4'-cyanobiphenyl (CB5) molecules with the most advantageous energy structure in a vacuum. Also frequencies of the normal vibrations of the studied systems were calculated. CB5 molecule is widely used as a liquid crystal, the properties of which were studied using various computational and experimental methods [1]-[6]. Cyanobiphenyl liquid crystal phase CB5 was observed by infrared spectroscopy with the frequency of 2252 cm-1. In this regard, we can assume that vibration band consists of several points corresponding to different values of oscillation frequencies.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"64 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132149309","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.2015.7342064
S. Podvalny, V. Provotorov
In the paper a differential system is considered, which state is described by a parabolic initial boundary value problem with distributed parameters on a graph. Control action and observations occur simultaneously. The existence conditions of a unique control action and the controllability system are obtained.
{"title":"The questions of controllability of parabolic systems with distributed parameters on the graph","authors":"S. Podvalny, V. Provotorov","doi":"10.1109/SCP.2015.7342064","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342064","url":null,"abstract":"In the paper a differential system is considered, which state is described by a parabolic initial boundary value problem with distributed parameters on a graph. Control action and observations occur simultaneously. The existence conditions of a unique control action and the controllability system are obtained.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"16 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":"123698374","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.2015.7342171
S. A. Kabrits, E. P. Kolpak
The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.
{"title":"Finding bifurcation branches in nonlinear problems of statics of shells numerically","authors":"S. A. Kabrits, E. P. Kolpak","doi":"10.1109/SCP.2015.7342171","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342171","url":null,"abstract":"The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"6 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":"127181344","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.2015.7342146
N. Y. Dodonov, V. V. Zhuk
Questions of uniform approximation of continuous functions of bounded variation on ℝn with the values in the Banach space are being studied by aggregates of summatory type constructed on the basis of the known function values at the nodes of a multidimensional rectangular mesh. The appraisal of accuracy is executed by means of the modulus of continuity.
{"title":"Uniform approximation of continuous functions of bounded variation by aggregates of summatory type","authors":"N. Y. Dodonov, V. V. Zhuk","doi":"10.1109/SCP.2015.7342146","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342146","url":null,"abstract":"Questions of uniform approximation of continuous functions of bounded variation on ℝn with the values in the Banach space are being studied by aggregates of summatory type constructed on the basis of the known function values at the nodes of a multidimensional rectangular mesh. The appraisal of accuracy is executed by means of the modulus of continuity.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"37 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":"128002281","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.2015.7342082
S. Kozynchenko
At the present paper we consider the software designed for non-relativistic beam dynamics simulation and optimization in the injection systems. This software permits designing the injection system during optimization process, taking into account the output characteristics of the beam. It is developed on the Win32 platform, using dialog boxes and free integrated development environment such as Visual C++ Express, and possesses the necessary features such as an interactive input, real-time graphical and text output, start, stop, etc.
本文研究了用于喷射系统非相对论光束动力学模拟和优化的软件。该软件允许在优化过程中设计注射系统，同时考虑到光束的输出特性。它是在Win32平台上使用对话框和Visual c++ Express等免费集成开发环境开发的，具有交互式输入、实时图形和文本输出、启动、停止等必要功能。
{"title":"Development of the Win 32 API - based software in C++ for beam dynamics simulation and optimization in the injection systems","authors":"S. Kozynchenko","doi":"10.1109/SCP.2015.7342082","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342082","url":null,"abstract":"At the present paper we consider the software designed for non-relativistic beam dynamics simulation and optimization in the injection systems. This software permits designing the injection system during optimization process, taking into account the output characteristics of the beam. It is developed on the Win32 platform, using dialog boxes and free integrated development environment such as Visual C++ Express, and possesses the necessary features such as an interactive input, real-time graphical and text output, start, stop, etc.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"37 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":"121334199","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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