Pub Date : 2015-12-03DOI: 10.1109/SCP.2015.7342148
K. F. Ivanova
New technique of deriving the guaranteed two-sided estimations of solutions set of interval systems of the linear algebraic equations (ISLAE) with the uncertain parameters is offered. The estimation algorithm is based on formalization of the equations with two point matrices and the right-hand sides of vectors - by the analysis of scalar component wise product of matrix entries and their cofactors. Through new matrices bottom and top borders of the interval determinant are established. Solutions of formalized point equations establish conformity between them and a known estimation of an exterior interval hull of the linear interval equations system.
{"title":"New approach to optimal estimation of interval linear system of algebraic equations solutions set","authors":"K. F. Ivanova","doi":"10.1109/SCP.2015.7342148","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342148","url":null,"abstract":"New technique of deriving the guaranteed two-sided estimations of solutions set of interval systems of the linear algebraic equations (ISLAE) with the uncertain parameters is offered. The estimation algorithm is based on formalization of the equations with two point matrices and the right-hand sides of vectors - by the analysis of scalar component wise product of matrix entries and their cofactors. Through new matrices bottom and top borders of the interval determinant are established. Solutions of formalized point equations establish conformity between them and a known estimation of an exterior interval hull of the linear interval equations system.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"115 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":"134364924","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.2015.7342217
S. Spivak, O. Kantor, D. Yunusova
This paper describes the analysis of model mixtures of substituted fullerenes within the determination of measurement errors of the experimental data in the problem of determining the distribution function of the mole fraction of fullerene fragments in a mixture of fullerene-containing products.
{"title":"Analysis of mixtures of fullerene-containing products","authors":"S. Spivak, O. Kantor, D. Yunusova","doi":"10.1109/SCP.2015.7342217","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342217","url":null,"abstract":"This paper describes the analysis of model mixtures of substituted fullerenes within the determination of measurement errors of the experimental data in the problem of determining the distribution function of the mole fraction of fullerene fragments in a mixture of fullerene-containing products.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"84 22","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113932867","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.2015.7342063
I. V. Olemskoy, A. Eremin, O. S. Firyulina, Aleksei A. Nechiporuk
An explicit embedded pair of methods for systems of second order ordinary equations with special structure is considered. Two-parametric families of methods of orders four and three with automatic step-size control are constructed. The numeric comparison to known embedded Runge-Kutta pairs of the same order is held.
{"title":"Economic fourth order three-stage method for solving systems of second order differential equations with special structure","authors":"I. V. Olemskoy, A. Eremin, O. S. Firyulina, Aleksei A. Nechiporuk","doi":"10.1109/SCP.2015.7342063","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342063","url":null,"abstract":"An explicit embedded pair of methods for systems of second order ordinary equations with special structure is considered. Two-parametric families of methods of orders four and three with automatic step-size control are constructed. The numeric comparison to known embedded Runge-Kutta pairs of the same order is held.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"10 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":"126909334","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.2015.7342074
E. I. Krasnov, Vasiliy V. Mikhaylov, S. L. Sergeev, A. B. Stuchenkov
An approach to development of a motion system based on a Stewart platform is presented. The structure of the motion system is shown, the basic equations of motion are formulated. The main functions of a control program and ways of interacting with external programs and devices are specified.
{"title":"Development of a motion system for a training simulator based on Stewart platform","authors":"E. I. Krasnov, Vasiliy V. Mikhaylov, S. L. Sergeev, A. B. Stuchenkov","doi":"10.1109/SCP.2015.7342074","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342074","url":null,"abstract":"An approach to development of a motion system based on a Stewart platform is presented. The structure of the motion system is shown, the basic equations of motion are formulated. The main functions of a control program and ways of interacting with external programs and devices are specified.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"63 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":"126023220","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.2015.7342207
D. Akmaykin, Svetlana F. Klyueva, O. Bukin, P. Salyuk
The exact and heuristic algorithms of search of the shortest routes on the graph are analyzed in the article. The realization of Floyd-Warshall algorithm of search for the shortest routes is shown. The description and realization of the author's heuristic algorithm of search for the shortest route for two chosen vertexes of graph for the given heuristic estimated function is given.
{"title":"Optimization of the search algorithm for the shortest route","authors":"D. Akmaykin, Svetlana F. Klyueva, O. Bukin, P. Salyuk","doi":"10.1109/SCP.2015.7342207","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342207","url":null,"abstract":"The exact and heuristic algorithms of search of the shortest routes on the graph are analyzed in the article. The realization of Floyd-Warshall algorithm of search for the shortest routes is shown. The description and realization of the author's heuristic algorithm of search for the shortest route for two chosen vertexes of graph for the given heuristic estimated function is given.","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":"123687712","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.2015.7342224
A. Flegontov, A. Chernykh, Peter Klykov
The conceptual approach to assess the efficiency of control systems for organizational system that operates in the field of real time on the basis of the proposed set of efficiency indexes of the control system is given. Mathematical dependences that reflect the relationships of indicators of efficiency of the control system are defined. The proposed approach may be used to solve the practical problems related to improvement of the efficiency of the control systems for organizational systems operating in a real time field.
{"title":"The evaluation of the efficiency of control systems for organizational systems","authors":"A. Flegontov, A. Chernykh, Peter Klykov","doi":"10.1109/SCP.2015.7342224","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342224","url":null,"abstract":"The conceptual approach to assess the efficiency of control systems for organizational system that operates in the field of real time on the basis of the proposed set of efficiency indexes of the control system is given. Mathematical dependences that reflect the relationships of indicators of efficiency of the control system are defined. The proposed approach may be used to solve the practical problems related to improvement of the efficiency of the control systems for organizational systems operating in a real time field.","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":"122641548","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.2015.7342133
L. Polyakova, V. Karelin
A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.
{"title":"On a continuous method for minimizing of nonsmooth functions","authors":"L. Polyakova, V. Karelin","doi":"10.1109/SCP.2015.7342133","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342133","url":null,"abstract":"A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.","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":"129732992","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.2015.7342220
S. Zavadskiy, Daria Sharovatova
It is considered the problem of quadrocopter flight control. A system with four degrees of freedom is used as a model of the control object. Phase states of this system are acceleration along the vertical axis and Euler angles angular rate. Copter's cxecutive system is improved by the addition of a filter. The step response of the system with filter is presented. Quality performance management system with simple PI regulator and with designed dynamic filter is demonstrated.
{"title":"Improvement of quadrocopter command performance system","authors":"S. Zavadskiy, Daria Sharovatova","doi":"10.1109/SCP.2015.7342220","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342220","url":null,"abstract":"It is considered the problem of quadrocopter flight control. A system with four degrees of freedom is used as a model of the control object. Phase states of this system are acceleration along the vertical axis and Euler angles angular rate. Copter's cxecutive system is improved by the addition of a filter. The step response of the system with filter is presented. Quality performance management system with simple PI regulator and with designed dynamic filter is demonstrated.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"306 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":"133746201","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.2015.7342121
A. Aleksandrov, A. Zhabko
A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.
{"title":"On the stability of solutions of a class of nonlinear nonautonomous systems with delay","authors":"A. Aleksandrov, A. Zhabko","doi":"10.1109/SCP.2015.7342121","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342121","url":null,"abstract":"A nonlinear time-delay system with nonlinearities of a sector type and nonstationary perturbations is studied. It is assumed that the zero solution of the corresponding unperturbed delay-free system is asymptotically stable. With the aid of the Razumikhin theorem, conditions are obtained under which the perturbations do not destroy the asymptotic stability for an arbitrary continuous nonnegative and bounded delay.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"30 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":"114283864","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.2015.7342214
M. Ryzhkova
The need to create students' individual learning paths can serve one of the objectives of education systems modeling. It is usually necessary for e-learning, distance and additional education or in the system of advanced training. The information about the student's existing knowledge and requirements to their educational level after training allows us to calculate the individual program of educational activities. Using functional analysis method is one of the possible approaches to modeling the learning process. This model uses simple mathematical calculations and it can be used for different courses.
{"title":"Functional analysis methods for educational process management","authors":"M. Ryzhkova","doi":"10.1109/SCP.2015.7342214","DOIUrl":"https://doi.org/10.1109/SCP.2015.7342214","url":null,"abstract":"The need to create students' individual learning paths can serve one of the objectives of education systems modeling. It is usually necessary for e-learning, distance and additional education or in the system of advanced training. The information about the student's existing knowledge and requirements to their educational level after training allows us to calculate the individual program of educational activities. Using functional analysis method is one of the possible approaches to modeling the learning process. This model uses simple mathematical calculations and it can be used for different courses.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"2 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":"116280096","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}