Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
37
7
2005
Constructing Maximal Sets of Practical Weak Stability of Differential Inclusions
1-9
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Vladimir V.
Pichkur
Kyiv National Taras Shevchenko University, Kyiv
Necessary and sufficient conditions of belonging a point to the boundary of the maximal domain of practical weak stability of differential inclusions are obtained. For a linear inclusion, under convex phase constraints corresponding criteria are derived. Optimal functions of deformation for particular phase constraints are found.
To the Problem of Determining the Set of Attainability of a Controlled Linear System
10-19
Gennadiy M.
Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
Alexey V.
Sholokhov
Institute of Applied Systems Analysis of Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine “Kiev Polytechnical Institute”, Ukraine; State Enterprise of Special Instrument Engineering "Arsenal", Kiev
The algorithm of construction of the set of attainability of a controlled linear system with discrete time is proposed. The algorithm is based upon the idea of the use a compression (expansion) operator of the space. Along with the assumption that a disturbance was scalar, it enabled to get the constructive solution of the problem in the class of ellipsoid sets, which approximated the exact solution, using comparatively simple analytic tools. The results of computational modeling are given.
Construction of the Model of an External Action on Controlled Objects
20-29
Yuriy L.
Menshikov
Dnepropetrovsk National University, Dnepropetrovsk, Ukraine
Alexander G.
Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
The problem of synthesis of the optimal model of external action, which is unique for the class of mathematical models of a real object, is formulated. The conditions, for which the model exits and is stable relative to small changes of input data, are given. The results of practical computation of the optimal model of the moment of operating strength on a rolling mill are given.
Algorithms for Solving the Problem of Optimal Control with Three-point Unseparated Boundary Conditions
30-39
Fikret Akhmed Ali Ogly
Aliev
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan
Mutallim Mirzaakhmed ogly
Mutallimov
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan
We consider linearly-quadratic problems of optimal control with three-point useparated boundary conditions. It was shown that in contrast to the problem of optimization with two-point boundary conditions in this case optimal control has jump at the mentioned internal point. We suggested the numerical method of solving the problem of optimal control by means of solving of the corresponding system of the Euler−Lagrange equations. Similar problem was considered when computer was included into control loop. Results were illustrated by examples for control of sucker-rod pump setup on oil and gas production.
Nonlinear Mechanism of Purposeful Energy Redistribution for Reducing Oscillations of Structures on Moving Foundation
40-45
Govanni
Matarazzo
University of Salerno, Italy
We consider some potential mechanisms of energy redistribution for the problem of oscillation of structures on moving foundation. The suggested mechanism is based on insertion of unilateral interaction (unilateral negative feedback) into the mechanical system. This mechanism presents particular case of nonlinearity, which can be described only by means of inequalities. The developed numerical analytical approach shows that insertion of such a unilateral nonlinear interaction makes it possible to change general picture of development of oscillations and reduces development of undesirable processes.
Technique of Simulation Modeling of Control Systems of Dangerous Manufacture
46-53
Ivan V.
Maksimey
Gomel Frantsisk Skorina State University, Byelorussia
Victor S.
Smorodin
Gomel Frantsisk Skorina State University, Byelorussia
The following techniques, formalization, derivation of simulation models on the basis of combination of network schedules and procedures of Monte−Carlo method, calculation of characteristics of reliability and safety of manufacture, are suggested. Possibilities of using the system of modeling with aggregate method of simulation are explained.
Analysis of Influence of Roller Shock Absorbers on Dynamic Behavior of Certain Vibroprotective Transport System
54-64
Victor P.
Legeza
Ukrainian State University of Food Technologies and National University of Life and Environmental Sciences of Ukraine, Kiev
We investigate longitudinal oscillations of a four-mass vibroprotective system of rigid bodies “long-length load — turnstiles with roller shock absorbers — coupling of two bays” under collision with braked hammer car. By applying the Appel approach we state differential equations of motion and conduct numerical analysis of dynamic behavior of the new vibroprotective system.