Інститут кібернетики імені В.М.Глушкова
Національної академії наук України 

Відділ №165
оптимізації керованих процесів

SELECTED PAPERS OF THE DEPARTMENT RESEARCHERS

  1. O.М. Patlandzoglu, A.A.Chikrii. On one class of quasi-linear differential games of pursuit //Differential Equations, 1997, vol.33, No 6. – P. 786-794 (in Russian).
  2. A. Chikriy, K. G. Dzyubenko. Bilinear Markov Processes of Searching for Moving Targets // J. of Automation and Information Sciences, 1997, vol. 33, No 5, p 92-107
  3. A.Chikrii, O.М. Patlandzoglu. About conjugate differential games of pursuit // J. of Automation and Information Sciences, 1998, No 4, p. 40-50
  4. D. Eidelman, A.A.Chikrii. Dynamic game problems of approach for the equations of fractional order // Ukrainian Mathematical Journal, 2000, No11. – P. 1566-1583 (in Russian).
  5. A.Chikrii, S.D. Eidelman. Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order //Cybernetics and Systems Analysis, 2000, Vol. 36, No 3, p. 315–338
  6. A.Chikrii, S.D. Eidelman. Control Game Problems for Quasilinear Systems with Riemann-Liouville Fractional Derivatives//Cybernetics and Systems Analysis, 2001, Vol. 37, No 6, p. 836–864
  7. Albus, A. Meystel, A. Chikrii, A. Belousov, A. Kozlov. Analytical Method for Solution of the Game Problem of Soft Landing for Moving Objects//Cybernetics and Systems Analysis, 2001, Vol. 37, No 1, p. 75–91
  8. Albus, A. Meystel, A. Chikrii, A. Belousov, A. Kozlov. Analytic Method for Solving the Game Problem of Soft Landing for Moving Objects // Dopovidi of NAS of Ukraine, 2001, No 8. – P. 61-65 (in Russian).
  9. A. Chikriy, G. Ts. Chikrii, K.Yu. Volyanskiy. Quasilinear Positional Integral Games of Approach // J. of Automation and Information Sciences, 2001, vol.33, No10, p.5-28
  10. І.V.Serhienko, А.А.Chikrii. The Scientific Heritage of B. N. Pshenichnyi //Cybernetics and Systems Analysis, 2002, Vol. 38, No 2, p. 153–174
  11. P. Ignatenko, A. A. Chikriy. A Problem of Evasion of Two Controlled Objects from a Group of Pursuers in the Three-Dimensional Space // J. of Automation and Information Sciences, 2002, vol. 34, No 1, p. 3-32
  12. D.Eidelman, А.А.Chikrii. Interpolation polynomials of Lagrange-Sylvestre in the game fractional problems. Fractional problem of boy and crocodile // Dopovidi of NAS of Ukraine, 2002, No5. – P. 65-71 (in Russian).
  13. А.А.Chikrii, S.D.Eidelman. Asymptotic representations of the generalized functions of Mittag – Leffler in fractional games of second order // Dopovidi of NAS of Ukraine, 2002, No 6. – P. 69-74 (in Russian).
  14. M. Kuncevich, А.А.Chikrii. Controlled Processes: Methods of Investigation and Applications //Cybernetics and Systems Analysis, 2003, Vol. 39, No 4, p. 477–487
  15. A. Chikriy, I. I. Matichin. Resolving Functions in Parallel and Pure Pursuit // J. of Automation and Information Sciences, 2003, vol. 35, No 11, p. 5-11
  16. A. Chikriy, A. P. Ignatenko, On Substantiation of the Proportional Navigation Method in the Simple Pursuit Problem // J. of Automation and Information Sciences, 2004, vol. 36, No 1, p. 19-27
  17. А.А.Chikrii, I.I.Matychyn. On one class of game problems with impulse control // Dopovidi of NAS of Ukraine, 2004, No 6. – P. 73 – 77 (in Russian).
  18. А.А. Chikrii, G.Ts. Chikrii, S.D.Eidelman. Linear fractional games of approach // Prikladnaya Matematika I Mekhanika, 2004, vol. 68.- No 5, P.746-757 (in Russian).
  19. А.А.Chikrii, I.I. Matychyn. Linear differential games with impulse control of the evader // Dopovidi of NAS of Ukraine, 2004, No 10. – P.80-85 (in Russian).
  20. А.А. Chikrii, I.I.Matychyn, G.Ts. Chikrii. Conflict controlled processes with discontinuous trajectories//Cybernetics and Systems Analysis, 2004, Vol. 40, No 6, 800–811
  21. А.А. Chikrii, I.I.Matychyn. Motion Camouflage in Differential Games of Pursuit // J. of Automation and Information Sciences, 2005, vol.37, No 3, p. 1-5
  22. А.А.Chikrii, J.S. Rappoport, К.А. Chikrii. Sufficient conditions for solvability of game problems of approach in the class of stroboscopic strategies // Dopovidi of NAS of Ukraine, 2005, No 9. – P. 71-76 (in Russian).
  23. A. Chikriy, I. S. Rappoport. Measurable Many-Valued Maps and Their Selectors in Dynamic Pursuit Games //J. of Automation and Information Sciences, 2006, vol. 38, No 1, p. 57-67
  24. А.А.Chikrii, J.S.Rappoport, К.А. Chikrii. On the theory of pursuit in the class of stroboscopic strategies // Dopovidi of NAS of Ukraine, 2006, № 6. – P. 72-77 (in Russian).
  25. G. Dzyubenko, A. A. Chikriy. On the Game Problem of Searching Moving Objects for a Model of Semi-Markovian Type // J. of Automation and Information Sciences, 2006, vol. 38, No 9, p.1-11
  26. А.А.Chikrii, I.I. Matychyn. An analog of Cauchy formula for the linear systems of fractional order // Dopovidi of NAS of Ukraine, 2007, No 1. – P. 50-55 (in Russian).
  27. А.А.Chikrii, J.S.Rappoport, К.А. Chikrii. Multivalued mappings and their selectors in the theory of conflict-controlled processes //Cybernetics and Systems Analysis, 2007, Vol. 43, No 5, p.719–730
  28. А.А.Chikrii, I.I. Matychyn. Presentation of Solutions of Linear Systems with Fractional Derivatives in the Sense of Riemann-Liouville, Caputo and Miller-Ross // J. of Automation and Information Sciences, 2008, vol. 40, No 6, p. 1-11
  29. А.А.Chikrii, J.S.Rappoport, К.А. Chikrii. Comparison of guaranteed times in conflict-controlled motion //Cybernetics and Systems Analysis, 2008, Vol. 44, No 4, p.537–546
  30. A. Chikriy, A. G. Chentsov, I. I. Matychyn. Differential Games of the Fractional Order with Separated Dynamics // J. of Automation and Information Sciences, 2009, vol. 41, No 11, p. 17-27
  31. А.А.Chikrii, I.I. Matychyn. Game problems for linear systems of fractional order // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2009, vol. 15, No 3, – P. 262–278 (in Russian).
  32. А.А.Chikrii, А.А.Belousov. Linear differential games with integral constraints // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg 2009, vol..15, No   – P. 290–301 (in Russian).
  33. А.А.Chikrii. Guaranteed results in game problems of the motion control // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2010, vol. 16, No 5 – P.223–232 (in Russian).
  34. А.А.Belousov, Ju.I.Berdyshev, A. G. Chentsov, А.А.Chikrii. Solving the dynamic traveling salesman game problem //Cybernetics and Systems Analysis, 2010, Vol. 46, No 5, p. 718–723
  35. А.А.Chikrii, I.I. Matychyn. On the linear conflict-controlled processes with fractional derivatives // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2011, vol. 17, No 2. – P. 256–270 (in Russian).
  36. А.А.Chikrii, J.S. Rappoport. On the theorem of inverse image for – measurable set-valued mappings // Dopovidi of NAS of Ukraine, 2011, No 11. – P. 54–58 (in Russian).
  37. І.V.Serhienko, А.А.Chikrii. Talent multiplied by diligence. To 75 birthday of the president of RAS, academician Yu.S.Osipov. – Visnyk of Academy of Sciences of Ukraine, 2011, No 5. –– P. 55–60 (in Ukraine).
  38. І.V.Serhienko, А.А.Chikrii. Developing B. N. Pshenichnyi’s scientific ideas in optimization and mathematical control theory //Cybernetics and Systems Analysis, 2012, Vol. 48, No 2, p. 157–179
  39. А.А.Chikrii, J.S.Rappoport. Method of resolving functions in the theory of conflict-controlled processes //Cybernetics and Systems Analysis, 2012, Vol. 48, No 4, p.512–531
  1. А.А.Chikrii, А.А.Belousov. Linear differential games with convex integral constraints // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2013, vol.19, No 4. – P. 308-319 (in Russian).
  2. A. Belousov. Differential games with integral constraints and impulse controls // Dopovidi of NAS of Ukraine, 2013, No 11. – P. 37 – 42 (in Russian).
  3. А.А. Chikrii, G.Ts. Chikrii. Matrix Resolving Functions in Dynamic Games of Approach //Cybernetics and Systems Analysis, 2014, Vol. 50, No 2, p. 201–217
  4. A. Chikriy, L. A. Vlasenko. The Method of Resolving Functionals for a Dynamic Game in a Sobolev System // J. of Automation and Information Sciences, 2014, vol.46, No 7, p. 1-11
  5. J. Zhukovskiy , A. A. Chikriy. On Discrete Conflict-Controlled Processes Described by Grunvald-Letnikov Fractional Systems // J. of Automation and Information Sciences, 2015, vol.47, No1, p. 24-34
  6. А.А.Chikrii, A. Vlasenko. One differential game with distributed parameters // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2014, No 4. – P. 5-14 (in Russian).
  7. A. Vlasenko, A.G. Rutkas, А.А.Chikrii. One differential game in abstract parabolic system // Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of RAS, Ekaterinburg, 2015, No 2. – P.26-40 (in Russian).
  8. J. Zhukovskij, А.А. Chikrii, N.G. Soldatova. Existence of Berge equilibrium in conflicts under uncertainty // Avtomatika i Telemekhanika, 2016, No 4. – P. 114-133 (in Russian).
  9. A.Chikriy, V.K. Chikrii. Image Structure of Multivalued Mappings in Game Problems of Motion Control // J. of Automation and Information Sciences, 2016, vol. 48, No 3, p. 20-35
  1. I.Aralova. Information Technologies of Decision Making Support for Rehabilitation of Sportsmen Engaged in Combat Sports // J. of Automation and Information Sciences, 2016, vol. 48, No. 6, p. 68-78
  2. S. Rappoport. Resolving-Functions Method in the Theory of Conflict-Controlled Processes with Terminal Payoff Function // J. of Automation and Information Sciences, 2016, vol. 48, No 5, p. 74-84
  3. A.Chikrii. Upper and lower  resolving functions in dynamic game problems. Trudy Instituta  Mathematiki i Mechaniki Ur O RАN, 2017, vol.23, №1, pp.293-305
  4. A.Chikrii G.Ts.Chikrii. Game problems of approach for quasilinear systems of general form, Trudy Instituta  Mathematiki i Mechaniki Ur O RАN, 2018, vol.24, №1, pp.273-287

 

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Institute of Cybernetics named after VM Glushkov of the National Academy of Sciences of Ukraine

Institute of Cybernetics named after VM Glushkov of the National Academy of Sciences of Ukraine