Begell House
Journal of Automation and Information Sciences
Journal of Automation and Information Sciences
1064-2315
36
7
2004
Automatic Control Systems Integral Quadratic Estimates Minimization. Part 1. Estimates computation
The method of integral quadratic estimates forming for linear automatic control systems is considered and the algorithms of their estimation are developed. To represent the extent of stability algebraic conditions breaking, which determine the definitional domain of an estimate, we introduce the vector penalty function. To minimize integral quadratic estimates for any initial point of the space of variable parameters, we introduce a vector objective function. The algorithms of its computation are developed and comparison of their effectiveness is carried out.
Valeriy P.
Severin
National Technical University "Kharkov Polytechnical Institute", Kharkov, Ukraine
1-11
Robust Stability of Discrete Control Systems
The problem of determination of conditions of robust stabilization of linear stationary objects with prescribed multiple estimates of their parameters, is studied. This means, we consider the problem of finding existence conditions of such linear feedback by the state vector, which ensures asymptotic stability of the whole class of closed-loop discrete control systems. On the basis of sufficient conditions of asymptotic stability of linear discrete systems of this class of control systems, easily verified conditions of robust stabilization are derived.
Vsevolod M.
Kuntsevich
Institute of Space Research, National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev, Ukraine
12-16
On Extremal Step-by-Step Realization of Sliding Modes
For a controllable differential system uniform approximation of sliding modes was considered by means of trajectories generated by piecewice-constant controls. The conditions of solution uniqueness associated with each control were not imposed. Two discrete rules of extremal shift were investigated. It was shown that 1) by a discrete version of Kryazhimskii method one can approximate some trajectories of the bundle generated by the given generalized control; 2) there exist generalized trajectories which are not approximated by admissible trajectories; 3) if the controllable system satisfies the conditions of Kanke general uniqueness theorem, then any arbitrary sliding mode is approximated by Krasovskiy extremal shift rule.
Dmitriy V.
Khlopin
the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
17-30
Optimization of Assessment of Functioning Quality for Complex Dynamical Systems
We suggest technique for assessment of functioning quality of complex dynamical systems on the basis of versatile, multicriteria and multilevel analysis of behavior of their basic characteristics. The problem of rehabilitation practice of invalids is considered as an example.
Alexander D.
Polishchuk
Ya.S. Podstrigach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lvov, Ukraine
31-36
Automatic Course Stabilization of Sea Liner with Considering Random Perturbations by the Method of Lyapunov-Krasovskiy Functionals. Part II
We obtained sufficient conditions of exponential stability with unitary probability of solutions of linear stochastic differential equations with delay. A stochastic model of course of sea liner was considered and sufficient conditions of course stabilization of sea liner with Weiner and Poisson perturbations are obtained.
Vladimir K.
Yasinskiy
Chernovtsy National Yu. Fedkovich University, Chernovtsy, Ukraine
Anatoliy V.
Nikitin
Chernovtsy National Yu. Fedkovich University; and Technical Training College No. 6, Chernovtsy
Ilya V.
Dariychuk
Kiev National Taras Shevchenko University, Ukraine
37-48
The Push-Out Strategy with a Virtual Threshold to Access the Integral Network Node Buffer
The new access strategy to the common buffer of an integral network node, used simultaneously by packets of real and unreal time, is offered. According to this strategy, real time cells, which have been received, may displace in an overfilled buffer unreal time cells, if the quantity of real time packets is less than certain value. Effective algorithms of calculation and optimization of the quality characteristics of multi-type packets service are developed. Results of computing experiments are quoted.
Leonid A.
Ponomarenko
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
Agasi Zarbali ogly
Melikov
Institute of Cybernetics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
Mekhrivan Isa kyzy
Fattakhova
Institute of Cybernetics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
49-57
Nonlinear Inversions of Boundary-Value Problems for Conformal Mappings with Control in Boundary Conditions
Possible characteristic cases of flow forming depending on values of controlling potential in the interval or perturbations of one of streamlines, which does not exceed values of potentials on boundary equipotential lines. On the basis of a modification of the method of total maps we obtained a characteristic stream function, present examples of constructing a dynamic grid, velocity field, forming different overflows. At that we single out several kinds of (key) problems of finding those values of controlling potential, which ensure optimization of some functionals (flows, sources, drains).
Andrey Ya.
Bomba
Rovno State Humanitarian University
58-67