Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
46
4
2014
Group Approach under Phase Constraints
1-8
10.1615/JAutomatInfScien.v46.i4.10
Yaroslav I.
Bigun
Yuriy Fedkovych Chernovtsy National University
Iryna Iu.
Kryvonos
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Alexey A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
Kirill A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
nonstationary game problem
group approach
phase constraints
evader position
sufficient conditions
conflict-controlled process
example
"encirclement" situation
Nonstationary game problem of group approach under phase constraints on evader position are investigated. Sufficient conditions for parameters of conflict-controlled process, which provide termination of game in finite time from given initial positions, are obtained. Results are used by the example of simple group pursuit for "encirclement" situation.
Numerical Efficiency of Semidefinite Optimization Methods
9-19
10.1615/JAutomatInfScien.v46.i4.20
Anatoliy I.
Kosolap
Ukrainian State Chemical Engineering University, Dnepropetrovsk
Anastasiya S.
Peretyatko
Ukrainian State Chemical Engineering University, Dnepropetrovsk
of semidefinite optimization
solving methods
new generalized simplex method
comparative numerical examples
efficiency
Problems of semidefinite optimization and methods for their solving are under consideration. We proposed new generalized simplex method for solving problems of semidefinite optimization on the basis of approximation of cone of semidefinite matrixes by sum of matrixes with rank equal to unit. Comparative numerical experiments confirm efficiency of semidefinite simplex method.
Time-Nonlocal Two-Point Problem and Optimal Control Problem for Evolutionary Pseudodifferential Equations
20-37
10.1615/JAutomatInfScien.v46.i4.30
Vasiliy V.
Gorodetsky
Yuriy Fedkovych Chernovtsy National University
Yaroslav M.
Drin'
Bukovinskiy State Finance and Economic University, Chernovtsy
correct solvability
time-nonlocal two-point problem
optimal control problem
parabolic pseudodifferential equation
nonsmooth symbols
space of generalized functions
distribution type functions.
Correct solvability time-nonlocal two-point problem and optimal control problem for parabolic pseudodifferential equations with nonsmooth symbols in the space of generalized functions of distribution type is proved.
Neural Networks and Fuzzy Logic Control System of Hybrid Vehicle Power Unit
38-59
10.1615/JAutomatInfScien.v46.i4.40
Sergey A.
Serikov
Kharkov National Transport University, Ukraine
hybrid vehicle power unit
problem of adaptive control
optimization problem statement
neural networks and fuzzy logic control method
adaptive critic.
The problem of adaptive control of a hybrid vehicle engine which minimizes the vector quality criterion in the presence of restrictions on the parameters of the state and control vector. Formal statement of the optimization problem is given. The solving this problem by the method of adaptive critic design-based neural networks and fuzzy logic control is considered.
Estimation of State and Parameters of Dynamic System with the Use of Ellipsoids at the Lack of a Priori Information on Estimated Quantities
60-75
10.1615/JAutomatInfScien.v46.i4.50
Nikolay N.
Salnikov
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agensy of Ukraine, Kyiv, Ukraine
state estimation
linear dynamic system
methods of ellipsoids
estimation algorithm
We consider the problem of the state estimation of linear dynamic system and the problem of simultaneous estimation of states and parameters of the SISO linear dynamic system in a framework of the set-theoretic approach. The modified method of ellipsoids, proposed and analyzed by the author earlier while solving the problem of the linear regression parameters estimation, was used for the estimation. Properties of the proposed estimation algorithms are illustrated by numerical examples.