Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
38
7
2006
Optimal Control of the Body Thermostressed State under the Specified Stresses
1-26
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
The new problems of optimal control of the body thermostressed state under the specified stresses at its boundaries are considered. For this distributed system with the multivalued inverse operator of a state the mathematical models, which uniquely determine the body state, are constructed. The existence of the unique optimal controls of systems with various quadratic cost functionals is proved.
Analysis of Rigid Synthesis Algorithms of Nonlinear Stabilization Systems
27-38
N. P.
Kovalenko
National Aviation University, Kiev, Ukraine
Sergey M.
Onishchenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
E. L.
Klimenko
National Aviation University, Kiev, Ukraine
M. N.
Susol
National Aviation University, Kiev, Ukraine
A group of six algorithms of rigid synthesis of nonlinear stabilization systems is analyzed. It is shown that only four algorithms of them have constructive type.
Construction of Stability Domain of Digital Linear Systems in Space of Two Parameters Nonlinearly Influencing Coefficients of Characteristic Equation
39-48
Sergey L.
Movchan
Consulting center "BIZON", Ternopol, Ukraine
Leonid T.
Movchan
Ivan Pulyui Ternopol National Technical
University, Ternopol
Consideration is given to the construction problem of stability domains of linear digital systems in a space of two parameters nonlinearly entering the coefficients of characteristic equation. The algorithm of determining boundary points of stability domain by exhaustive search of only one parameter without control of system stability or instability in these points is proposed. Correctness of results is guaranteed by using D-partition methods.
Guaranteed Results in Problems of Parametric Identification and Estimation of Vector of State (Filtration) for Slowly Varying Bounded Measurement Noise
49-57
Vsevolod M.
Kuntsevich
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Modifications of standard algorithms of set identification of systems, linear with respect to parameters, and restoring state vector of linear discrete systems for such subclass of bounded perturbations (noise) with known a priori estimate of change rate, are considered. Generalizations of obtained results on one more, narrower subclass of bounded perturbations, for which, in particular, a priori estimate of sum of perturbations, calculated on the current interval is given, are considered.
On Homogenization of Problems of Optimal Control. Part II. Variational Convergence of Constrained Minimization Problems
58-72
Peter I.
Kogut
Oles Honchar Dnepropetrovsk National University
Victor N.
Mizernyi
Vinnitsa National Technical University, Ukraine
Tatyana N.
Rudyanova
Dnepropetrovsk State Financial and Economic Institute, Ukraine
For two different classes of problems of optimal control we consider the problem of homogenization, namely, the control problem for nonlinear singular parabolic system and for linear elliptic system in perforated domain.
On Mathematical Foundations of Functioning of Computer System of Optimal Control of a Trawler. Part II
73-84
Victor I.
Musurivskiy
Chernovtsy Yu. Fedkovich National University; and West-Ukrainian Economic and Law University, Chernovtsy, Ukraine
The following problems on trawler optimal control are solved: optimal operation speed, optimal expenditures of energy resources. The given problems are Lagrange problems solved by Pontryagin maximum principle. The described scheme allows one to create a computer control system of a given object − a decision making system.