{"title":"Analysis of transport network development via probabilistic modelling","authors":"G. Timofeeva, A. Martynenko","doi":"10.1109/STAB.2018.8408407","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408407","url":null,"abstract":"The problem of passenger traffic forecasting under transformation of the transport network structure is considering. Modelling of passenger traffic in transformed network is based on Markov chains with incompletely known transition probabil-ities. Estimation of transition probabilities is performed via the original networks traffic and patterns of passenger preferences.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131703667","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}
{"title":"Kinetics of collisionless continuous medium for non-maxwellian initial density","authors":"T. Salnikova, V. Salnikov","doi":"10.1109/STAB.2018.8408394","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408394","url":null,"abstract":"Being periodically under gravitational force field, collisionless ideal gas in a rectangular parallelepiped performs the non-equilibrium irreversible Poincare cycles. We prove, that for any initial probability distribution density this system irreversibly tends to the Maxwell distribution on the velocities, and uniform distribution on the coordinates.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121178009","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}
{"title":"Asymptotic behavior of singularly perturbed systems with periodic nonlinearities and external forces","authors":"V. Smirnova, N. V. Utina, E. E. Pak","doi":"10.1109/STAB.2018.8408402","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408402","url":null,"abstract":"In this paper we consider singularly perturbed phase synchronization systems with external disturbances. The systems are described by integro-differential Volterra equations with periodic nonlinear functions and a small parameter at the higher derivative. The disturbed systems examined in this paper have (like undisturbed ones) infinite sequence of equilibrium points. So for them the main problem of phase synchronization systems remains: whether the system is gradient-like, i.e. its any solution converges to one of equilibria. In this paper we offer frequency-algebraic criteria which guarantee that the convergence of any solution of undisturbed system under singular perturbation is not destroyed by external disturbance. If the system is not gradient-like it may have periodic solutions. We demonstrate that the relaxation of frequency-algebraic criteria leads to conditions for the absence of high frequency periodic solutions. The results of the investigation are uniform with respect to the small parameter.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124192376","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}
{"title":"Numerical simulation of the electric power object dynamics by the volterra polynomials","authors":"S. Solodusha","doi":"10.1109/STAB.2018.8408404","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408404","url":null,"abstract":"This work considers a class of nonlinear Volterra equations associated with automatic control of dynamics of an electric power object. The apparatus of Volterra integral power series is applied to describe the dynamic characteristics of the input-output object under study. We consider a mathematical model of a wind power plant with a horizontal axis of rotation as a simulation model. The algorithms are based on the Newton-Kantorovich method. Specific features of the algorithms are illustrated on model examples.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124869410","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}
{"title":"Control of a simplified model of bispinner with a displaced center of mass","authors":"Y. Morozov","doi":"10.1109/STAB.2018.8408381","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408381","url":null,"abstract":"In this paper, we propose a mathematical model de-scribing the motion of 3DOF bispinner with a displaced center of mass. In our model, bispinner is fixed on a special type of cardan. The bounded control laws that guarantees the rotation of 3DOF bispinner with a design angular velocity and small fluctuations in height and pitch angle are developed. Comparative analysis of adaptive discontinuous and smooth bounded control laws is done. The simulation results demonstrate that the proposed controllers are robust with respect to the shifting the center of mass of 3DOF bispinner.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114184584","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}
{"title":"On sampled-data control of mechanical systems","authors":"O. Peregudova, Irina Kudashkina, R. Hasanova","doi":"10.1109/STAB.2018.8408386","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408386","url":null,"abstract":"In the paper, the sampled-data control problem is investigated to provide a trajectory tracking of a nonholonomic mobile robot. We consider the dynamical model of the mobile robot which has one front free wheel and two rear wheels controlled by two independent electric motors. A sampled-data controller has been constructed using an emulation design procedure and backstepping method.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129590721","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}
{"title":"Unique weak solvability of a hyperbolic systems with distributed parameters on the graph","authors":"V. Provotorov","doi":"10.1109/STAB.2018.8408390","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408390","url":null,"abstract":"Unique solvability hyperbolic system in weak formu-lation with distributed parameters on the graph is proved. The general scheme of studies it's classical: selected functional space in which solves initial-boundary value problem and a special basis for it; for approximation of the solution of the problem are receive a priori estimates of the energy type inequalities; shows weak compactness approximations, unique and continuity of the solution on the source data. The results are fundamental in the study of problems of optimum control of a netlike industrial designs.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129806021","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}
{"title":"Uniform global asymptotic stabilization of bilinear non-homogeneous periodic discrete-time systems","authors":"V. Zaitsev","doi":"10.1109/STAB.2018.8408412","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408412","url":null,"abstract":"For a bilinear non-homogeneous periodic system with discrete time, new sufficient conditions are obtained for uniform global asymptotic stabilization of the zero equilibrium by state feedback.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123883378","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}
{"title":"Synthesis of the robust control system of the robot manipulator under incomplete measurements","authors":"D. Krasnov, A. Utkin","doi":"10.1109/STAB.2018.8408371","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408371","url":null,"abstract":"The procedure for decompositional synthesis of the robot manipulator control system with electric actuators has been developed. The procedure ensures the exponential convergence of generalized coordinates to given trajectories under the action of external unmatched disturbances and the uncertainty of the parameters of the mechanical subsystem. It is supposed to use discontinuous controls and organization of sliding modes in the virtual space of mixed variables (functions of state variables, external influences and their derivatives). The original method for the synthesis of a reduced order observer with high gains is presented. The observer makes it possible to estimate the mixed variables from measurements of only tracking errors under conditions of uncertainty of the input channels.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130201545","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}
{"title":"On two problems of optimal scalar control of harmonic oscillator","authors":"A. Galyaev, P. Lysenko","doi":"10.1109/STAB.2018.8408354","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408354","url":null,"abstract":"In this paper the energy optimal control of harmonic oscillator is found. The solution is compared to the solution of the time optimal nulling of harmonic oscillator's energy. The results of the modeling of the oscillator's phase coordinates and full energy for given control time are shown.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134408496","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}