Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Print: 1064-2315
ISSN Online: 2163-9337

Volume 51, 2019 Volume 50, 2018 Volume 49, 2017 Volume 48, 2016 Volume 47, 2015 Volume 46, 2014 Volume 45, 2013 Volume 44, 2012 Volume 43, 2011 Volume 42, 2010 Volume 41, 2009 Volume 40, 2008 Volume 39, 2007 Volume 38, 2006 Volume 37, 2005 Volume 36, 2004 Volume 35, 2003 Volume 34, 2002 Volume 33, 2001 Volume 32, 2000 Volume 31, 1999 Volume 30, 1998 Volume 29, 1997 Volume 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v41.i10.20
pages 10-22

Realization of the Game Approach to Control of Second Order Linear Objects

Igor F. Eryemenko
Kharkov National Automobile and Highway University, Ukraine
Alexander G. Gurko
Kharkov National Automobile and Highway University, Ukraine


We consider the problem of synthesis of the optimal control system on the basis of the game approach. Here it is assumed that the real state of the object belongs to certain set of potential states in the form of polyhedron. The problem of limitation of the number of verges of limiting set of potential states was solved in the form of aperiodic unit of the second order. It was shown that boundaries of the limiting set for the mentioned object are practically coincide with one of eigenvectors of the matrix of its parameters. We adduce results of modeling of the suggested control system.


  1. Krasovskiy N.N., Theory of control of motion.

  2. Kurzhanskiy A.B., Control and observation under uncertainty conditions.

  3. Chernousko F.L., Melikyan F.F., Game problems of control and search.

  4. Kuntsevich V.M., Lychak M.M., On optimal and adaptive control of dynamical objects under uncertainty.

  5. Kuntsevich V.M., Lychak M.M., Synthesis of optimal and adaptive control systems. Game approach.

  6. Lychak M.M., Set-like filtration.

  7. Lychak M.M., Multiple approach to identification and estimation of controlled object state.

  8. Kuntsevich V.M., Guaranteed estimation of the phase state and parameters of linear dynamical systems.

  9. Kuntsevich V.M., Guaranteed results in problems of parametric identification and estimation of vector of state (filtration) for slowly varying bounded measurement noise.

  10. Volosov V.V., On construction of parametric families of ellipsoidal estimates and their optimization in problems of nonstochastic identification of parameters and state of multidimensional discrete controlled objects.

  11. Bakan G.M., Sholokhov A.V., To construction of robust algorithm of guaranteed estimation of linear controlled system state.

  12. Bakan G.M., Kussul N.N., Fuzzy ellipsoidal state filtration algorithm for a static object.

  13. Kuntsevich V.M., Control and identification under uncertainty conditions: results and unsolved problems.

  14. Zyelyk Ya.I., Lychak M.M., Computer technology of interval-set analysis in MATLAB.

  15. Kuntsevich V.M., Lychak M.M., Synthesis of the systems of automatic control by means of the Lyapunov functions.

  16. Lancaster P., Theory of matrixes.

Articles with similar content:

Synthesis of Adaptive Controller for Fixed-Time Control of a Spinning Body under the Presence of Bounded Noise
Journal of Automation and Information Sciences, Vol.37, 2005, issue 1
Dmitriy P. Kucherov
Synthesis of Discrete Adaptive Control Systems for Linear and Certain Classes of Nonlinear Objects
Journal of Automation and Information Sciences, Vol.41, 2009, issue 6
Vsevolod M. Kuntsevich
Technical Stability Conditions for Controlled Processes with Lumped Parameters
Journal of Automation and Information Sciences, Vol.32, 2000, issue 3
Konstantin S. Matviychuk
Synthesis of Compromise-Optimal Trajectories of Mobile Objects in Conflict Environment
Journal of Automation and Information Sciences, Vol.34, 2002, issue 2
Sergey A. Shvorov, Alexander G. Yasinsky, Albert N. Voronin
Adaptive Control in Conditions of Constantly Acting Perturbations: an Identification Approach
Journal of Automation and Information Sciences, Vol.30, 1998, issue 6
Leonid S. Zhiteckii