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

оптимізації керованих процесів

Mathematical objects of the control theory, originated in the Department(formulas, methods, functions, functionals, process, model, hypothesis, principle)

 

 

  1. Formula for support function of the Minkowski geometric difference of convex closed sets, conditions of full set sweeping (1971)
  2. Formula for presentation of the nonlinear conflict-controlled process trajectory (analog of the Taylor formula) in the collision avoidance theory (1974)
  3. Method of avoidance by direction (1975)
  4. Minmaxmin function prescribing the advantage of an evader over each of the pursuers from a group (1976)
  5. Method of invariant subspaces in the avoidance theory (1977)
  6. Method of resolving functions (1981)
  7. Method of variable directions in the avoidance theory (1984)
  8. Bilinear Markov cell model of search for moving objects (1984)
  9. Principle of the shortest polygon in the dynamic traveling salesman problem (1987)
  10. Inverse Minkowski’ functional (1991)
  11. Conflict-controlled process (1992)
  12. Hypothesis concerning collision avoidance in the counteracting of moving objects groups (1997)
  13. Analogs of the Cauchy formula for the linear fractional systems (1998, 2008)
  14. Generalized matrix Mittag-Leffler function (2000)
  15. Matrix resolving function (2014)
  16. Method of resolving functionals to solve the game dynamic problems for the Sobolev type distributed systems (2015)
  17. Upper and lower resolving functions (2016)
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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