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