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Information × Registration Number 0215U004090, 0114U003632 , R & D reports Title Application of supercomputing technology for solving problems of state estimation and identification of large dimension dynamical systems popup.stage_title Head Kuntsevich Vsevolod Mykhailovich, Registration Date 05-02-2015 Organization Space Research Institute of National Academy of Sciences of Ukraine and State Space Agency of Ukraine popup.description2 The objects of the research are methods and algorithms of restoring the state vector of linear and a class of nonlinear dynamical systems, including, in particular, small spacecraft (SSC), and evaluation of reachability sets of families of linear and nonlinear dynamical systems(DS) and methods of system identification frequency characteristics in reduced uncertainty; equations describing physical processes in space plasma. The aim is to determine the guaranteed estimates of the state vector of dynamical systems in the measurements with bounde noise, determination of reachability sets for families of linear and nonlinear dynamical systems, including systems with convex a priori estimates of nonlinear functions; setting identification problem for multidimensional systems with one input and output in reduced uncertainty, to develop a method for its solution based on the frequency characteristics obtained during an active experiment; construction of finite-dimensional models of physical processes in space plasma using the Petrov-Galerkin finite element method. Research methods are methods of linear algebra, set theory, convex analysis, optimization and mathematical programming, computer modelling, randomization methods, magnetohydrodynamics, numerical method for solving partial differential equations. The results: 1. For a wide class of linear and nonlinear systems recurrent robust ellipsoidal methods of estimation of continuous-discrete DS are developed adapted to evaluate the full parameter vector of orientation of SSC on current measurements of position sensors. 2. For a wide class of nonlinear systems, iterative method (converging with high speed) of determining ellipsoidal estimates of reachability sets and upper bound of the radius of the limit (invariant) set is proposed. 3. For the magneto-hydrodynamic processes in space plasma finite-dimensional model is constructed with the use of Petrov - Galerkin finite element method. Product Description popup.authors Бабій Надія Анатоліівна Волосов Віктор Вікторович Губарев Вячеслав Федорович Кунцевич Всеволод Михайлович Мельничук Сергій Вікторович Сальніков Микола Миколайович Царук Ніна Петрівна Шевченко Володимир Миколайович popup.nrat_date 2020-04-02 Close