Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
34
1
2002
A Problem of Evasion of Two Controlled Objects from a Group of Pursuers in the Three-Dimensional Space
26
Arkadiy A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Alexey P.
Ignatenko
Institute of Software Systems of National Academy of Sciences of Ukraine, Kyiv, Ukraine
We prove the possibility of an avoidance of strict meeting of two players evading six pursuers in the three-dimensional space at simple motions of the players with equal maximum speeds.
Existence of Hybrid Equilibrium in a Differential Game
10
Victor V.
Zolotaryov
Russian Correspondence Institute of Textile and Light Industry, Moscow, Russia
Vladislav I.
Zhukovskiy
Russian Correspondence Institute of Textile and Light Industry, Moscow, Russia
The paper formalizes and investigates a concept of new solving the differential positional linear-quadratic non-cooperative four-person game under uncertainty. The given solution unites the well-known concepts of optimality of non-cooperative games theory (Nash equilibrium and equilibrium of threats and counterthreats). The account of uncertain factors is made by means of "analog of a vector saddle point". The existence conditions are established and the explicit form of such solution is found.
On Stabilization of Motion of One Class of Nonlinear Systems
10
Dmitriy V.
Lebedev
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, Kyiv
The problem of stabilization of motion of a controlled system, whose dynamics is described by two nonlinear vector equations of particular kind with arbitrary number of control parameters, is considered. A procedure of synthesis of a control algorithm, that ensures asymptotic stability of the considered regime of object motion under constraints on control parameters, is suggested.
Optimal Control of an Elliptic System with Conditions on a Component Thin Inclusion
21
Ivan V.
Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Vasiliy S.
Deineka
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
We consider new problems of optimal control for distributed systems. These problems are described by an elliptic equation with conjugation conditions and a quadratic function, which is minimized. We have constructed the calculation schemes of increased order of accuracy of their discretization for the case when the set of admissible controls U∂ coincides with the complete Hilbert space of controls U.
Algorithm for Solving the Discrete Periodic Riccati Equation
7
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
We suggest the algorithm for construction of the stabilizing solution for the discrete-time periodic Riccati equation. This algorithm is based on the linear matrix inequalities. It has no restrictions connected with singularities of matrixes, which determine the quadratic form of controlling actions in the optimizing functional, and with singularities of matrixes, which determine dynamics of an uncontrolled object.