Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
33
10
2001
On Substantiation of Procedures of Inductive Inference
5
Anatoliy M.
Gupal
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The crisis of mathematics and information theory associated with the absence of grounding principles of inductive mathematics is discussed. Using probabilistic apparatus the conclusion is made that the Bayes approach forms a basis of derivation of inductive inference procedures.
On the Existence of an Antistabilizing Solution of the Discrete Algebraic Riccati Equation
7
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
We consider the problem of construction of an antistabilizing solution in the special cases of the discrete algebraic Riccati equation. It is shown that such solutions can be found by means of the Cayley transform. Different approaches to interpretation of such solutions are compared.
Minimax Estimation of Solutions of Neumann Boundary-Value Problems for Elliptical Equations in Uncertainty Conditions
18
Yuriy K.
Podlipenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Alexander G.
Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Alex.
Kovalyuk
ASA College of Modern Computer Technologies, New York, USA
We consider the systems which are described by Neumann boundary-value problems for elliptical equations of the second order in partial derivatives for which it is only known that their right-sides as well as boundary conditions belong to some set. By noisy observations of solutions and their conormal derivatives on the finite system of the surfaces, belonging to the given domain, we find minimax estimations for the functionals of solutions of the considered boundary-value problems.
Quasilinear Positional Integral Games of Approach
22
Arkadiy A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Greta Ts.
Chikrii
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Konstantin Yu.
Volyanskiy
Kyiv National Taras Shevehenko University, Kyiv, Ukraine
In the paper game problem of approach for the system given in linear Volterra equation is considered. Certain sufficient conditions are obtained to provide existence of solutions of the problem in a class of positional strategies. A case of separate movements is investigated. Relations between differential and integral games are considered. Results are illustrated on a model example.
Influence of Elastic and Dissipative Properties of Hinge Joints on Dynamics of Space Manipulator
11
Tatyana V.
Zavrazhina
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev, Ukraine
Natalya M.
Zavrazhina
Kyiv National University of Construction and Architecture, Kyiv, Ukraine
Mathematical model of dynamics of a multilink space robot manipulator, considered as a system of many absolutely rigid bodies, is constructed. Elastic compliance and friction in connecting hinges are taken into account. The suggested technique of derivation of the system equations of motion is based on simultaneous application of formalism of Euler-Lagrange and of Lagrange 2nd kind equations. Problems of dynamic and kinematic control of spatial motions of the system are formulated. A numerical example of study of dynamics of a two-link robot is considered.
Algorithms with Limited Parallelism for Solving One Digital Filtering Problem
10
Mikhail S.
Jadzhak
Ya. S. Podstrigach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lvov, Ukraine
The algorithms with limited number of parallel-executed branches for realization of one-dimensional linear digital filtering are proposed. The given estimates of speeding up of these parallel algorithms confirm their effectiveness.
Modeling of Processes of Mobile Control of Mechanical Systems on the Basis of Multidimensional Matrices
7
Lyubov V.
Mishchanin
Dnepropetrovsk State University, Dnepropetrovsk, Ukraine
Anatoliy P.
Alpatov
Institute of Technical Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
A technique of modeling of controlled motion of multibody mechanical system under mobile impact is suggested. The technique uses apparatus of multidimensional matrices for ordering coefficients of matrix equations of motion and for transformation of equations of motion when switching control in problems of numerical simulation.