Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342071
I. Burkov
In some cases the desired uniform motion may be described by a pair of first integrals of the system with zero control input. The linear-quadratic combination of these two integrals is used to construct Lyapunov function. The control is designed from the condition of decreasing Lyapunov function on the trajectories of the closed loop system. This control may be chosen a priori bounded. This method is applied to stabilize circular motion of a satellite around gravitational center, for stabilization inertia wheel pendulum and for swinging a pendubot.
{"title":"Asymptotic stabilization of the desired uniform rotation by linear and nonlinear feedback","authors":"I. Burkov","doi":"10.1109/SCP.2015.7342071","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342071","url":null,"abstract":"In some cases the desired uniform motion may be described by a pair of first integrals of the system with zero control input. The linear-quadratic combination of these two integrals is used to construct Lyapunov function. The control is designed from the condition of decreasing Lyapunov function on the trajectories of the closed loop system. This control may be chosen a priori bounded. This method is applied to stabilize circular motion of a satellite around gravitational center, for stabilization inertia wheel pendulum and for swinging a pendubot.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"142 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":"115379092","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.2015.7342172
S. Kostyrko, G. Shuvalov
It is well known that multilayer thin film structures are inherently stressed owing to lattice mismatch between different layers. Similar to other stressed solids, such materials can self-organize a surface shape with mass redistribution to minimize a total energy. However, the morphological stability are very important in fabrication of defect-free microelectronic devices. With developed model, the conditions leading to instability can be examined. Based on Gibbs thermodynamics and linear theory of elasticity, we present an algorithm for deriving a governing equation that gives the amplitude change of surface undulation via surface and volume diffusion. A parametric study of this equation leads to the definition of a critical undulation wavelength which stabilizes the surface.
{"title":"Morphological stability of multilayer film surface during diffusion processes","authors":"S. Kostyrko, G. Shuvalov","doi":"10.1109/SCP.2015.7342172","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342172","url":null,"abstract":"It is well known that multilayer thin film structures are inherently stressed owing to lattice mismatch between different layers. Similar to other stressed solids, such materials can self-organize a surface shape with mass redistribution to minimize a total energy. However, the morphological stability are very important in fabrication of defect-free microelectronic devices. With developed model, the conditions leading to instability can be examined. Based on Gibbs thermodynamics and linear theory of elasticity, we present an algorithm for deriving a governing equation that gives the amplitude change of surface undulation via surface and volume diffusion. A parametric study of this equation leads to the definition of a critical undulation wavelength which stabilizes the surface.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"42 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":"121812172","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.2015.7342247
A. G. Karpov, V. A. Klemeshev
The paper is dedicated to the analysis of dielectrics using mathematical modeling. The set of model elements and means combining them into a chain model are proposed to obtain the overall transfer function and its partial derivatives of the parameters for the subsequent model fit.
{"title":"Processing of the results of the dielectric spectroscopy using mathematical modeling","authors":"A. G. Karpov, V. A. Klemeshev","doi":"10.1109/SCP.2015.7342247","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342247","url":null,"abstract":"The paper is dedicated to the analysis of dielectrics using mathematical modeling. The set of model elements and means combining them into a chain model are proposed to obtain the overall transfer function and its partial derivatives of the parameters for the subsequent model fit.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"20 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":"116396937","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.2015.7342097
E. Vinogradova, A. V. Listrukova
In this paper a mathematical model of the electrostatic quadrupole lens is presented. The quadrupole lens consist of four equiform electrodes of an infinite length and each of these electrodes is a part of the circular cylinder. The variable separation method is used to solve the boundary-value problem for the Laplace equation in plane polar coordinates. The solution of initial value-boundary problem is reduced to the solution of linear algebraic equations system. The electrostatic potential distribution is calculated for the whole region of the system.
{"title":"The electrostatic quadrupole lens mathematical modeling","authors":"E. Vinogradova, A. V. Listrukova","doi":"10.1109/SCP.2015.7342097","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342097","url":null,"abstract":"In this paper a mathematical model of the electrostatic quadrupole lens is presented. The quadrupole lens consist of four equiform electrodes of an infinite length and each of these electrodes is a part of the circular cylinder. The variable separation method is used to solve the boundary-value problem for the Laplace equation in plane polar coordinates. The solution of initial value-boundary problem is reduced to the solution of linear algebraic equations system. The electrostatic potential distribution is calculated for the whole region of the system.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"38 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":"122142432","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.2015.7342160
V. Pavlovsky, Alexey L. Chistov, Konstantin V. Shestov
Solution for model of incompressible viscous liquid turbulent flow in round rough walls pipe in terms of turbulence f-model is obtained. Calculation results are compared with experimental data.
给出了不可压缩粘性液体在圆粗糙壁管内紊流模型的湍流f模型解。计算结果与实验数据进行了比较。
{"title":"Modeling turbulent flow in a rough walls pipe","authors":"V. Pavlovsky, Alexey L. Chistov, Konstantin V. Shestov","doi":"10.1109/SCP.2015.7342160","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342160","url":null,"abstract":"Solution for model of incompressible viscous liquid turbulent flow in round rough walls pipe in terms of turbulence f-model is obtained. Calculation results are compared with experimental data.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"19 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":"128966313","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.2015.7342106
O. Drivotin, N. Ovsyannikov
Methods of numerical solution of the Vlasov equation for a charged particle beam are concerned. These methods are based on the method of macroparticles and require a great number of computations. As a result of the investigation, we find optimal combinations of parameters, which allow to increase computational efficiency. Accuracy of the methods was determined by comparing of a numerical solution and a corresponding analytical solution of the Vlasov equation.
{"title":"Self-consistent distributions simulation for a charged particle beam","authors":"O. Drivotin, N. Ovsyannikov","doi":"10.1109/SCP.2015.7342106","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342106","url":null,"abstract":"Methods of numerical solution of the Vlasov equation for a charged particle beam are concerned. These methods are based on the method of macroparticles and require a great number of computations. As a result of the investigation, we find optimal combinations of parameters, which allow to increase computational efficiency. Accuracy of the methods was determined by comparing of a numerical solution and a corresponding analytical solution of the Vlasov equation.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"45 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":"130641890","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.2015.7342117
I. Kolesin, E. Gubar, E. Zhitkova
Selection of optimal regime of revaccination is necessary to estimate consequences of hyper- and hypo- immunization of human population. We consider the optimization model with three immunity levels and double inoculation in urban population, which focuses on hyper- and hypo- immunity minimization criterion. We formulate an optimal control problem to find the optimal strategy of revaccination based on Pontryagin's maximum principle for the class of variable endpoint problems. The intensity of revaccination is determined by using methods of evolutionary games.
{"title":"Optimal regime of double vaccination","authors":"I. Kolesin, E. Gubar, E. Zhitkova","doi":"10.1109/SCP.2015.7342117","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342117","url":null,"abstract":"Selection of optimal regime of revaccination is necessary to estimate consequences of hyper- and hypo- immunization of human population. We consider the optimization model with three immunity levels and double inoculation in urban population, which focuses on hyper- and hypo- immunity minimization criterion. We formulate an optimal control problem to find the optimal strategy of revaccination based on Pontryagin's maximum principle for the class of variable endpoint problems. The intensity of revaccination is determined by using methods of evolutionary games.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"46 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":"123874241","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.2015.7342068
A. Shmyrov, D. Shymanchuk, L. Sokolov
This paper studies the problem of an intercept trajectory construction when using the neighborhood of the collinear libration point L1 of the Sun-Earth system. A celestial body motion is considered in a rotating frame within the Hill's problem of the circular restricted three-body problem. It is known that collinear libration points are unstable but its instability can be used as a positive factor for maneuvering a celestial body in the near-Earth space. Development methodology of control algorithms for the orbital motion of a celestial body when using the instability of collinear libration points is offered. The construction of an intercept trajectory is based on the properties of a specially introduced phase variables function, called “hazard function”. The results of the numerical integration are graphically illustrated.
{"title":"The interception problem of a celestial body with the use of the collinear libration points","authors":"A. Shmyrov, D. Shymanchuk, L. Sokolov","doi":"10.1109/SCP.2015.7342068","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342068","url":null,"abstract":"This paper studies the problem of an intercept trajectory construction when using the neighborhood of the collinear libration point L1 of the Sun-Earth system. A celestial body motion is considered in a rotating frame within the Hill's problem of the circular restricted three-body problem. It is known that collinear libration points are unstable but its instability can be used as a positive factor for maneuvering a celestial body in the near-Earth space. Development methodology of control algorithms for the orbital motion of a celestial body when using the instability of collinear libration points is offered. The construction of an intercept trajectory is based on the properties of a specially introduced phase variables function, called “hazard function”. The results of the numerical integration are graphically illustrated.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"61 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":"126383745","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.2015.7342201
P. Bazhanov
Positron emission tomography (PET) is a nuclear medicine technique that allows not only obtaining a three-dimensional image of internals, but also assessing their metabolism and functions, which helps to identify the disease at an early stage. Development of mathematical algorithms in PET is the crucial task because of wide range of applications for image reconstructions and projection data correction.
{"title":"PET projection data modeling and scatter correction","authors":"P. Bazhanov","doi":"10.1109/SCP.2015.7342201","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342201","url":null,"abstract":"Positron emission tomography (PET) is a nuclear medicine technique that allows not only obtaining a three-dimensional image of internals, but also assessing their metabolism and functions, which helps to identify the disease at an early stage. Development of mathematical algorithms in PET is the crucial task because of wide range of applications for image reconstructions and projection data correction.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"17 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":"128028417","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.2015.7342119
L. Petrosyan, A. Sedakov
The paper studies the problem of strategically supported cooperation in dynamic games on networks which initial stage is a network formation stage. Assuming that players behave cooperatively, the dynamic Shapley value is taken as a solution of the game. Due to time inconsistency of the solution, the allocation is realized with the use of an imputation distribution procedure. We provide conditions when the cooperative behavior resulting in the dynamic Shapley value can be supported by a Nash equilibrium. Our theory is also adopted for repeated games which is a special class of dynamic games.
{"title":"Strategic support of cooperation in dynamic games on networks","authors":"L. Petrosyan, A. Sedakov","doi":"10.1109/SCP.2015.7342119","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342119","url":null,"abstract":"The paper studies the problem of strategically supported cooperation in dynamic games on networks which initial stage is a network formation stage. Assuming that players behave cooperatively, the dynamic Shapley value is taken as a solution of the game. Due to time inconsistency of the solution, the allocation is realized with the use of an imputation distribution procedure. We provide conditions when the cooperative behavior resulting in the dynamic Shapley value can be supported by a Nash equilibrium. Our theory is also adopted for repeated games which is a special class of dynamic games.","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":"131345898","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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