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Petrov Nikolai Nikolaevich

Publications in Math-Net.Ru

  1. Graph Searching Games with a Radius of Capture

    Contributions to Game Theory and Management, 4 (2011),  8–18
  2. Search under counteraction

    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  17–25
  3. Search in graphs

    Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  39–54
  4. On the sum of squares of vector fields

    Differ. Uravn., 33:11 (1997),  1516–1522
  5. Dependence of the Bellman function on a parameter for two-dimensional control systems

    Differ. Uravn., 33:5 (1997),  664–671
  6. Pursuit of an invisible moving object

    Differ. Uravn., 32:11 (1996),  1563–1565
  7. Search problems on graphs of regular polyhedra

    Diskr. Mat., 8:2 (1996),  108–116
  8. Some problems on the qualitative theory of dynamical polysystems

    Differ. Uravn., 31:12 (1995),  2005–2012
  9. On a problem in sub-Riemannian geometry

    Differ. Uravn., 31:6 (1995),  973–979
  10. Shortest sub-Riemannian geodesics

    Differ. Uravn., 30:5 (1994),  768–775
  11. Continuability of the trajectories of control systems and the boundedness of the integral funnel

    Differ. Uravn., 29:6 (1993),  927–932
  12. Completely controllable dynamical polysystems

    Differ. Uravn., 28:3 (1992),  423–428
  13. Control problems and separability axioms

    Differ. Uravn., 27:6 (1991),  988–994
  14. Some differential-topological problems in control theory

    Differ. Uravn., 27:5 (1991),  771–777
  15. Limit sets for trajectories of dynamical polysystems

    Differ. Uravn., 25:11 (1989),  1910–1915
  16. Normal local controllability

    Differ. Uravn., 24:9 (1988),  1520–1528
  17. Problems of pursuit on the $1$-skeleton of a cube

    Differ. Uravn., 23:5 (1987),  908–911
  18. On a problem of the pursuit of a group of evaders

    Differ. Uravn., 23:4 (1987),  725–726
  19. The minimum number of vector fields forming a control system with given properties

    Differ. Uravn., 21:12 (1985),  2063–2068
  20. Nonlocal problems in the theory of optimal processes. II

    Differ. Uravn., 21:6 (1985),  955–962
  21. Nonlocal problems in the theory of optimal processes. I

    Differ. Uravn., 21:4 (1985),  605–614
  22. INVESTIGATION OF POSSIBILITIES FOR DETERMINATION OF THE DEPTH OF CHARGE SPOT FIELD PENETRATION INTO THE GYROTROPIC CRYSTAL

    Zhurnal Tekhnicheskoi Fiziki, 55:11 (1985),  2238–2240
  23. The “Cossack-robber” differential game

    Differ. Uravn., 19:8 (1983),  1366–1374
  24. A problem of pursuit in the absence of information on the pursued

    Differ. Uravn., 18:8 (1982),  1345–1352
  25. Some extremal search problems on graphs

    Differ. Uravn., 18:5 (1982),  821–827
  26. A generalization of the notion of foliation

    Differ. Uravn., 16:6 (1980),  1032–1036
  27. An analogue of the Birkhoff theory for invariant sets of control systems

    Differ. Uravn., 15:12 (1979),  2155–2160
  28. Symmetric completely controllable control systems

    Differ. Uravn., 15:11 (1979),  1980–1986
  29. Continuity of the Bellman function in degenerate cases

    Differ. Uravn., 15:5 (1979),  809–814
  30. A remark on plane analytic control systems

    Differ. Uravn., 15:4 (1979),  743–744
  31. The correctness of a time-optimality problem

    Differ. Uravn., 13:11 (1977),  1974–1980
  32. Secondary-emission methods of investigating the structure and composition of the surface layers of solids

    UFN, 122:3 (1977),  528–529
  33. Local controllability

    Differ. Uravn., 12:12 (1976),  2214–2222
  34. Certain invariant sets of control systems

    Differ. Uravn., 9:11 (1973),  2095–2096
  35. The boundary of the set of controllability of plane holomorphic systems

    Differ. Uravn., 9:9 (1973),  1618–1626
  36. Certain questions of the control theory in the plane

    Differ. Uravn., 9:6 (1973),  1058–1067
  37. The absence of the value of a pursuit game

    Differ. Uravn., 9:5 (1973),  860–867
  38. Existence of a value of a pursuit game

    Differ. Uravn., 7:5 (1971),  827–839
  39. The existence of a value of a pursuit game

    Dokl. Akad. Nauk SSSR, 190:6 (1970),  1289–1291
  40. The continuity of the generalized Bellman function

    Differ. Uravn., 6:2 (1970),  373–374
  41. A solution of a certain problem in control theory

    Differ. Uravn., 5:5 (1969),  962–963
  42. Local controllability of autonomous systems

    Differ. Uravn., 4:7 (1968),  1218–1232
  43. Controllability of autonomous systems

    Differ. Uravn., 4:4 (1968),  606–617
  44. The energy spectrum of electron emission by a single $\mathrm{KCl}$ crystal bombarded by helium ions

    Dokl. Akad. Nauk SSSR, 173:1 (1967),  67–69
  45. Excitation of electrons in solids by relatively slow atomic particles

    UFN, 92:1 (1967),  105–157

  46. Letter to the editors: “Some differential-topological problems in control theory”

    Differ. Uravn., 27:12 (1991),  2201


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