Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
34
3
2002
Method for Searching the Gradient of the Functional by the Matrix of a Feedback Circuit on Solving the Problem of the Synthesis of the Optimal Stabilization System by Output
7
10.1615/JAutomatInfScien.v34.i3.10
Nargiz Akhmed Kizi.
Safarova
Baku State University, Azerbaijan
Fikret Akhmed Ali Ogly
Aliev
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan
We consider the stationary problem of the synthesis of a stabilization system by output. On solving this problem we use optimization methods, for which realization calculation of the gradient of the functional by the matrix of a feedback circuit is necessary. Calculation of the gradient of the functional with respect to scalar variables meets certain difficulties, which are caused by the necessity of calculation of the gradient with respect to every element of the feedback matrix. By means of the Kronecker product we suggest analytical expressions for calculation of the gradient by the feedback matrix. These expressions make it possible to solve problems of the synthesis of the optimal stabilization system by output for both continuous and discrete time.
Optimal Control of the System Described by a Quartic Equation with Conjugation Conditions
19
10.1615/JAutomatInfScien.v34.i3.20
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
New problems of optimal control of the distributed systems described by a quartic equation with different boundary conditions, conditions of conjugation of a non-ideal contact and a quadratic cost functionals are considered.
The Suboptimal Stochastic Control in Differential Game
9
10.1615/JAutomatInfScien.v34.i3.30
Sergey V.
Sokolov
Rostov State University of Railway Transport (Russia)
The basic solution of a synthesis problem of game control for mutually observable objects described by stochastic differential equations in symmetrized form is considered. The example explaining the features and an opportunity of the offered approach is given.
Search for the Global Minimum of a Nondifferentiable Function by the Method of Optimal Set Partitioning
14
10.1615/JAutomatInfScien.v34.i3.40
Tatyana F.
Stepanchuk
Dnepropetrovsk National University, Ukraine
Elena M.
Kiseleva
Oles Honchar Dnipro National University, Dnepr
For finding the global minimum of a nondifferentiable function of several variables, which has a finite number of local minima in its domain of definition, an algorithm based on optimal set partitioning method is suggested. The algorithm enables one to simultaneously find all local minima and their attraction zones with subsequent selection of the global minimum point. As the optimality criterion of partitioning the definition domain of the minimized function into attraction zones of local minima, we take the minimal error admitted by incorrect referring the point x of attraction zone of one local minimum to the attraction zone of another local minimum. The algorithm is evaluated on a set of test one-dimensional functions. Recommendations for selecting parameters of the algorithm are given.
On a Mechanism of Forced Redistribution of Energy between Normal Modes of Liquid with a Free Surface
7
10.1615/JAutomatInfScien.v34.i3.50
Oleg S.
Limarchenko
Kiev National University, Kiev
Carlo
Cattani
Dipartimento di Matematica "G. Castelnuovo", Univ. di Roma "La Sapienza'' P. Ie A. Moro 5,1-00185 Roma ; and DiFarma, University of Salerno Via Ponte Don Melillo, 84084 Fisciano (SA), Italy
Alexander V.
Konstantinov
International Mathematical Center of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The possibility of the purposeful application of the pressure pulse on a part of the free surface of liquid for redistribution of energy between oscillation modes is considered. A mathematical model of the process was constructed. The potential of application of the mechanism for dynamic suppression of oscillations is discussed.
The Control of Stationary States of Two-Link Overturned Mathematical Pendulum with Viscoelastic Hinges and Follower Force on Elastic Upper End
10
10.1615/JAutomatInfScien.v34.i3.60
Leonid G.
Lobas
Kyiv Institute of Railway Transport, Ukraine
Luish Duarte.
Patricio
University "Beira Interior", Covilha, Portugal
lgor G.
Boruk
Kyiv Institute of Railway Transport, Ukraine
The overturned two-link mathematical pendulum with viscoelastic hinges and follower force on elastic upper ends is considered. It is shown that for some values of follower force modulus and stiffness of elastic fixing the vertical equilibrium position loses its stability due to bifurcation of two nonvertical states of equilibrium (the fork bifurcation).