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Differential Equations

, Volume 42, Issue 7, pp 925–931 | Cite as

Yurii Sergeevich Osipov (a tribute in honor of his seventieth birthday)

  • A. A. Gonchar
  • S. V. Emel’yanov
  • V. A. Il’in
  • V. V. Kozlov
  • S. K. Korovin
  • N. N. Krasovskii
  • A. B. Kurzhanskii
  • E. F. Mishchenko
  • E. I. Moiseev
  • V. A. Sadovnichii
  • L. D. Faddeev
  • A. V. Kryazhimskii
  • I. V. Gaishun
  • N. A. Izobov
  • N. L. Grigorenko
  • V. I. Maksimov
  • M. S. Nikol’skii
Members of Scientific Community

Keywords

Inverse Problem Parabolic System Game Problem Reduction Principle Retarded Argument 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Selected Publications of Yu. S. Osipov

  1. 1.
    On the Stabilization of Motions of a Plant with Delay in a Control System (together with Krasovskii, N.N.), Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1963, no. 6, pp. 3–15.Google Scholar
  2. 2.
    On the Reduction Principle in Critical Cases of Stability of the Motion of Time-Lag Systems, Prikl. Mat. Mekh., 1965, vol. 29, no. 5, pp. 810–820.Google Scholar
  3. 3.
    On Stabilization of Control Systems with Delay in the Critical Case of one Zero Root, Differ. Uravn., 1965, vol. 1, no. 7, pp. 908–922.Google Scholar
  4. 4.
    On Stabilization of Control Systems with Delay, Differ. Uravn., 1965, vol. 1, no. 5, pp. 605–618.Google Scholar
  5. 5.
    The Problem of Control with Bounded Phase Coordinates (together with Kurzhanskii, A.B.), Prikl. Mat. Mekh., 1968, vol. 32, no. 2, pp. 194–202.Google Scholar
  6. 6.
    Optimal Control Theory under Constraints on Phase Variables (together with Kurzhanskii, A.B.), Mezhdunar. kongr. po avtomat. upr. (Proc. 4th Int. Cong. Autom. Contr.), Marsaw: IFAK, 1969.Google Scholar
  7. 7.
    On the Control of a Linear System by Generalized Actions (together with Kurzhanskii, A.B.), Differ. Uravn., 1969, vol. 5, no. 8, pp. 1360–1370.Google Scholar
  8. 8.
    On Control Problems with Restricted Coordinates (together with Kurzhanskii, A.B.), Prikl. Mat. Mekh., 1969, vol. 33, no. 4, pp. 705–719.Google Scholar
  9. 9.
    A Control Problem with Restricted Coordinates (together with Kurzhanskii, A.B.), Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1970, no. 5, pp. 22–28.Google Scholar
  10. 10.
    Programmed Pursuit in Linear Systems (together with Kurzhanskii, A.B.), Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1970, no. 3, pp. 18–29.Google Scholar
  11. 11.
    An Alternative in a Differential-Difference Game, Dokl. Akad. Nauk SSSR, 1971, vol. 197, no. 5, pp. 1022–1025.Google Scholar
  12. 12.
    A Differential Guidance Game for Systems with Aftereffect, Prikl. Mat. Mekh., 1971, vol. 35, no. 1, pp. 123–131.Google Scholar
  13. 13.
    Differential Games of Systems with Aftereffect, Dokl. Akad. Nauk SSSR, 1971, vol. 196, no. 4, pp. 779–782.Google Scholar
  14. 14.
    On the Theory of Differential Games of Systems with Aftereffect, Prikl. Mat. Mekh., 1971, vol. 35, no. 2, pp. 300–311.Google Scholar
  15. 15.
    Linear Differential-Difference Games (together with Krasovskii, N.N.), Dokl. Akad. Nauk SSSR, 1971, vol. 197, no. 4, pp. 777–780.Google Scholar
  16. 16.
    On Conditions for the Absorption Stability in Differential-Difference Games. I, in Upravlyaemye sistemy (Control Systems), Novosibirsk, 1971, issue 8, pp. 13–20.Google Scholar
  17. 17.
    On Conditions for the Absorption Stability in Differential-Difference Games. II, in Upravlyaemye sistemy (Control Systems), Novosibirsk, 1971, issue 8, pp. 21–28.Google Scholar
  18. 18.
    Minimax Input in Differential-Difference Games, Dokl. Akad. Nauk SSSR, 1972, vol. 203, no. 1, pp. 32–35.Google Scholar
  19. 19.
    On Optimal Control under Constraints on Phase Coordinates of the System (together with Kurzhanskii, A.B.), in Optimal’nye i adaptivnye sistemy: Tr. 4 Vsesoyuz. sov. po avtomat. upr. Tbilisi (Optimal and Adaptive Systems: Proc. 4th All-Union. Counc. Autom. Contr., Tbilisi), Moscow: Nauka, 1972, pp. 124–133.Google Scholar
  20. 20.
    Control Problem with Incomplete Information (together with Krasovskii, N.N.), Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, 1973, no. 4, pp. 5–14.Google Scholar
  21. 21.
    Differential-Difference Game of Encounter with a Functional Target Set (together with Kryazhimskii, A.V.), Prikl. Mat. Mekh., 1973, vol. 37, no. 1, pp. 3–13.Google Scholar
  22. 22.
    On the Theory of Differential Games with Incomplete Information (together with Krasovskii, N.N.), Dokl. Akad. Nauk SSSR, 1974, vol. 215, no. 4, pp. 780–783.Google Scholar
  23. 23.
    Differential Games of Encounter for Distributed-Parameter Systems (together with Vaisburd, I.F.), Prikl. Mat. Mekh., 1975, vol. 39, no. 5, pp. 772–779.Google Scholar
  24. 24.
    On the Theory of Differential Games in Systems with Distributed Parameters, Dokl. Akad. Nauk SSSR, 1975, vol. 223, no. 6, pp. 1314–1317.Google Scholar
  25. 25.
    A Differential Approach Game, Differ. Igry Zad. Upr., (Proc. IMM UNTs Akad. Nauk SSSR, issue 15), 1975, pp. 157–166.Google Scholar
  26. 26.
    An Information Game Problem, in Optimization Techniques: IFIP Techn. Conf., Novosibirsk, July 1–7, 1974, Berlin etc.: Springer, 1975, pp. 482–486 (Lecture Notes in Comput. Sci., vol. 27).Google Scholar
  27. 27.
    Minimax Control and Estimation Problems in Systems with Distributed Parameters (together with Kurzhanskii, A.B.), Proc. IFAC 6th World Congress (Boston/Cambridge, Mass., 1975), Dusseldorf, 1975, pp. 15.5/1–15.5/11.Google Scholar
  28. 28.
    On the Theory of Differential Games in Parabolic Systems (together with Okhezin, S.P.), Dokl. Akad. Nauk SSSR, 1976, vol. 226, no. 6, pp. 1267–1270.Google Scholar
  29. 29.
    The Regularization of Controls in an Approach-Evasion Differential-Difference Game (together with Alesenko, L.P.), Differ. Uravn., 1976, vol. 12, no. 6, pp. 999–1006.Google Scholar
  30. 30.
    Positional Control in Parabolic Systems, Prikl. Mat. Mekh., 1977, vol. 41, no. 2, pp. 195–201.Google Scholar
  31. 31.
    On the Theory of Positional Control in Hyperbolic Systems (together with.Okhezin, S.P.), Dokl. Akad. Nauk SSSR, 1977, vol. 233, no. 4, pp. 551–554.Google Scholar
  32. 32.
    Approximation in Problems of Positional Control of Parabolic Systems (together with Korotkii, A.I.), Prikl. Mat. Mekh., 1978, vol. 42, no. 4, pp. 599–605.Google Scholar
  33. 33.
    On the Theory of Differential Games in Systems with Aftereffect (together with Pimenov, V.G.), Prikl. Mat. Mekh., 1978, vol. 42, no. 6, pp. 969–977.Google Scholar
  34. 34.
    Control Problems in Systems with Distributed Parameters (together with Kryazhimskii, A.V. and Okhezin, S.P.), in Dinamika upr. sistem (Dynamics of Control Systems), Novosibirsk: Nauka, 1979, pp. 199–208.Google Scholar
  35. 35.
    On Position Control in Distributed-Parameter Systems (together with Korotkii, A.I.), Prikl. Mat. Mekh., 1980, vol. 44, no. 4, pp. 611–617.Google Scholar
  36. 36.
    On Positional Control under Aftereffect in the Controlling Forces (together with Pimenov, V.G.), Prikl. Mat. Mekh., 1981, vol. 45, no. 2, pp. 223–229.Google Scholar
  37. 37.
    Method of Positional Regularization in Problem of the Motion Construction (together with Kryazhimskii, A.V.), Annot. dokl. 5-go Vsesoyuz. s”ezda po teoret. i prikl. mekhanike. (Abstr. 5th All-Union Cong. Theor. Appl. Mech.), Alma-Ata: Nauka KazSSR, 1981, p. 214.Google Scholar
  38. 38.
    On Positional Simulation in Dynamical Systems (together with Kryazhimskii, A.V. and Maksimov, V.I.), Prikl. Mat. Mekh., 1983, vol. 47, no. 6, pp. 883–890.Google Scholar
  39. 39.
    Dynamic Solution of Operator Equations (together with Kryazhimskii, A.V.), Dokl. Akad. Nauk SSSR, 1983, vol. 269, no. 3, pp. 552–556.Google Scholar
  40. 40.
    Modeling of a Control in a Dynamical System (together with Kryazhimskii, A.V.), Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1983, no. 2, pp. 51–60.Google Scholar
  41. 41.
    Modeling of Parameters of a Dynamical System (together with Kryazhimskii, A.V.), in Zadachi upr. i modelirovaniya v dinam. sistemakh (Control and Modeling Problems in Dynamical Systems), Sverdlovsk, 1984, pp. 47–68.Google Scholar
  42. 42.
    A problem of J.-L. Lions (together with Suetov, A.P.), Dokl. Akad. Nauk SSSR, 1984, vol. 276, no. 2, pp. 288–291.Google Scholar
  43. 43.
    On Positional Calculation of ω-Normal Controls in Dynamical System (together with Kryazimskii, A.V.), Probl. Control & Inform. Theory, 1984, vol. 13, no. 6, pp. 425–436.Google Scholar
  44. 44.
    Positional Modeling of Stochastic Control in Dynamical Systems (together with Kryazhimskii, A.V.), in Stochastic Optimization: Proc. Intern. Conf., Kiev, 1984, Berlin etc.: Springer, 1986, pp. 696–704 (Lect. Notes Contr. & Inform. Sci., IIASA; 81).Google Scholar
  45. 45.
    Best Approximation of the Differentiation Operator in the Class of Nonanticipating Operators (together with Kryazhimskii, A.V.), Mat. Zametki, 1985, vol. 37, no. 2, pp. 192–199.Google Scholar
  46. 46.
    The Method of Lyapunov Functions in Motion Modeling Problem (together with Kryazhimskii, A.V.), in Ustoichivost’ dvizheniya: Sb. st. (Motion Stability: Collection of Works), Novosibirsk: Nauka, 1985, pp. 53–56.Google Scholar
  47. 47.
    The Method of Lyapunov Functions in Motion Modeling Problem (together with Kryazhimskii, A.V.), in IV Chetaevskaya konf. po ustoichivosti dvizheniya, analiticheskoi mekhanike i upravleniyu dvizheniem (IV Chetaevskaya Conf. on Motion Stability, Anal. Mech., and Motion Contr.), Zvenigorod, 1985, p. 35.Google Scholar
  48. 48.
    Dynamic Regularization of Linear Algebraic Equations (together with Kryazhimskii, A.V.), in Zadachi positsion. modelirovaniya: Sb. st. (Problems of Positional Modeling: Collection of Works), Novosibirsk, 1986, pp. 41–84.Google Scholar
  49. 49.
    Problems of Dynamical Reconstruction, in Chislo i mysl’ (Number and Idea), Moscow: Znanie, 1987, issue 10, pp. 7–27.Google Scholar
  50. 50.
    On the Regularization of a Convex Extremal Problem with Inexactly Given Constraints. Application to an Optimal Control Problem with Phase Constraints (together with Kryazhimskii, A.V.), in Nekotorye metody pozitsionnogo i programmnogo upr. (Some Methods of Positional and Program Control), Sverdlovsk, 1987, pp. 34–54.Google Scholar
  51. 51.
    Inverse Problems in Dynamics and Control Models (together with Kryazhimskii, A.V.), in Mekhanika i nauch.-tekhn. progress. T. 1: Obshch. i prikl. mekhanika (Mechanics and Scientific-Technical Progress. Vol. 1: General and Applied Mechanics), Moscow, 1987, pp. 196–211.Google Scholar
  52. 52.
    Control Problems under Insufficient Information, System Modeling and Optimization: Proc. 13th IFIP Conf., Tokyo, Aug. 31–Sept. 4, 1987, Berlin etc.: Springer-Verlag, S.a, pp. 29–51 (Lect. Notes in Control and Inform. Sci., vol. 113).Google Scholar
  53. 53.
    Stable Solutions of Inverse Problems of the Dynamics of Controllable Systems (together with Kryazhimskii, A.V.), Tr. Mat. Inst. Steklova, 1988, vol. 185, pp. 126–146.Google Scholar
  54. 54.
    Methods for Position Modeling of a Control in a Dynamical System (together with Kryazhimskii, A.V.), in Kachestv. voprosy teorii differents. uravnenii i upr. sistem (Qualitative Problems of Theory of Differential Equations and Control Systems), Sverdlovsk, 1988, pp. 34–44.Google Scholar
  55. 55.
    Qualitative Problems in the Theory of Construction Optimization (together with Suetov, A.P.), in Voprosy kachestv. teorii differents. uravnenii: Sb. nauch. tr. (Problems of Qualitative Theory of Differential Equations: Collection of Scientific Works), Novosibirsk, 1988, pp. 237–244.Google Scholar
  56. 56.
    Stable Positional Reconstruction of a Control from Measurements of Some of the Coordinates (together with Kryazhimskii, A.V.), in Nekotorye zadachi upr. i ustoichivosti: Sb. nauch. tr. (Some Control and Stability Problems: Collection of Scientific Works), Sverdlovsk, 1989, pp. 33–47.Google Scholar
  57. 57.
    Method of Lyapunov Functions in Problem of Motion Modeling (together with Kryazhimskii, A.V.), in Ustoichivost’ dvizheniya (Motion Stability), Novosibirsk, 1989.Google Scholar
  58. 58.
    Inverse Problems of Dynamics for Systems Described by Parabolic Inequality, Working Paper IIASA, Laxenburg, 1989, no. WP-89-101.Google Scholar
  59. 59.
    Existence of Optimal Forms of Elliptic Systems. The Case of Dirichlet Boundary Conditions (together with Suetov, A.P.), Scientific Report IMM UrO AN SSSR, Sverdlovsk, 1990.Google Scholar
  60. 60.
    Inverse Problems of the Dynamics of Parabolic Systems (together with Kim, A.V. and Korotkii, A.I.), Prikl. Mat. Mekh., 1990, vol. 54, no. 5, pp. 754–759.Google Scholar
  61. 61.
    Dynamical Modeling of Controls in Some Parabolic Systems (together with Korbich, Yu.S. and Maksimov, V.I.), Prikl. Mat. Mekh., 1990, vol. 54, no. 3, pp. 355–360.Google Scholar
  62. 62.
    Dynamic Modeling of Parameters in Hyperbolic Systems (together with Korotkii, A.I.), Izv. Akad. Nauk SSSR. Tekhn. Kibern., 1991, no. 2, pp. 154–164.Google Scholar
  63. 63.
    Problems of Dynamical Regularization for Systems with Distributed Parameters (together with Kryazhimskii, A.V. and Maksimov, V.I.), Preprint IMM UrO AN SSSR, Sverdlovsk, 1991.Google Scholar
  64. 64.
    Inverse Problem of Dynamics for Systems Described by Parabolic Inequality, in Modeling and Inverse Problems of Control for Described Parameter Systems (Laxenburg, 1989), Berlin: Springer, 1991, pp. 127–134 (Lect. Notes Control and Inform. Sci., vol. 154).Google Scholar
  65. 65.
    On Dynamical Restoration of Parameters of Elliptic Systems (together with Korotkii, A.I.), in Ill-Posed Problems in Natur. Sci.: Proc. 1 Intern. Conf., Moskow, 1991, Utrecht: TVP Sci. Publ., 1992, pp. 108–117.Google Scholar
  66. 66.
    On the Reconstruction of a Parameter for a Hyperbolic Systems, Working Paper IIASA, Laxenburg, 1991, no. WP-91-54.Google Scholar
  67. 67.
    On Reconstruction of Coefficients for Differential Equations, in Current Problems of Analysis and Math. Physics (Italian, Taormina, 1992), Rome: Univ. Roma “La Sapienza,” 1993, pp. 195–199.Google Scholar
  68. 68.
    On Differential-Evolution Games (together with Kryazhimskii, A.V.), Optimal’noe upr. i differents. uravneniya: Sb. st., posv. 70-letiyu akad. E.F. Mishchenko (Optimal Control and Differential Equations: Collection of Works Dedicated to the 70th Birthday of Academician E. F. Mishchenko), Moscow, 1995, pp. 257–287 (Tr. Mat. Inst. Steklova, vol. 211).Google Scholar
  69. 69.
    Inverse Problem of Ordinary Differential Equations: Dynamical Solutions (together with Kryazhimskii, A.V.), Basel: Gordon & Breach Sci. Publ., 1995.Google Scholar
  70. 70.
    On Differential-Evolution Games (together with Kryazhimskii, A.V.), Differ. Uravn., 1996, vol. 32, no. 8, pp. 1051–1062.Google Scholar
  71. 71.
    Dynamical Inverse Problems for Systems with Distributed Parameters (together with Kryazhimskii, A. V. and Maksimov, V.I.), J. Inverse Ill-Posed Probl., 1996, vol. 4, no. 4, pp. 267–282.Google Scholar
  72. 72.
    Reconstruction of Boundary Sources Through Sensor Observations (together with Kryazhimskii, A.V. and Maksimov, V.I.), Working Paper IIASA, Laxenburg, 1996, no. WP-96-97.Google Scholar
  73. 73.
    On the Reconstruction of Extremal Perturbations in Parabolic Equations (together with Kryazhimskii, A.V. and Maksimov, V.I.), Zh. Vychisl. Mat. Mat. Fiz., 1997, vol. 37, no. 3, pp. 291–301.Google Scholar
  74. 74.
    Approximate Linear Reduction in a Guidance-Avoidance Differential Game (together with Kryazhimskii, A.V.), Optim. upr., differents. uravneniya i gladkaya optimizatsiya (Optimal Control, Differential Equations, and Smooth Optimization), 1998, pp. 173–194 (Tr. Mat. Inst. Steklova, vol. 220).Google Scholar
  75. 75.
    On Two-Dimensional Reduction in a Differential Game of Quality (together with Kryazhimskii, A.V.), Tr. Mat. Inst. Steklova, 1999, vol. 224, pp. 218–233.Google Scholar
  76. 76.
    Osnovy metoda dinamicheskoi regulyarizatsii (Foundations of the Dynamical Regularization Method) (together with Vasil’ev, F.P. and Potapov, M.M.), Moscow: Moscow State Univ., 1999.Google Scholar
  77. 77.
    Dynamic Inverse Problems for Parabolic Systems (together with Kryazhimskii, A.V. and Maksimov, V.I.), Differ. Uravn., 2000, vol. 36, no. 5, pp. 579–597.Google Scholar
  78. 78.
    The Prolem of Robust Boundary Control: The Case of Dirichlet Boundary Conditions (together with Pandol’fi, L. and Maksimov, V.I.), Dokl. Akad. Nauk, 2000, vol. 374, no. 3, pp. 310–312.Google Scholar
  79. 79.
    On a Certain Algorithmic Solvability Criterion in Game Problems for Linear Controllable Systems (together with Kryazhimskii, A.V.), Tr. Inst. Mat. Mekh., 2000, vol. 6, no. 1–2, pp. 131–140.Google Scholar
  80. 80.
    Problems of Dynamical Reconstruction and Robust Boundary Control: the Case of Dirichlet Boundary Conditions (together with Pandolfi, L. and Maksimov, V.I.), in Raspredel. sistemy: optimizatsiya i pril. v ekonomike i naukakh ob okruzh. srede: Sb. dokl. (Distributed Systems: Optimization and Applications in Economics and Environmental Sciences. Collection of Reports), Ekaterinburg, 2000, pp. 42–45.Google Scholar
  81. 81.
    On an Algorithmic Criterion of the Solvability of Game Problems for Linear Controlled Systems (together with Kryazhimskii, A.V.), Control in Dynamics Systems: Proc. Steklov Inst. Math., 2000, suppl. 1, pp. S154–S162 (Tr. IMM UrO RAN, vol. 6, no. 1).Google Scholar
  82. 82.
    Problems of Dynamic Reconstruction and Robust Boundary Control: the Case of Dirichlet Boundary Conditions (together with Pandolfi, L. and Maksimov, V.I.), J. Inverse Ill-Posed Probl., 2001, vol. 9, no. 2, pp. 149–162.Google Scholar
  83. 83.
    Extremal Problems with Separable Graphs (together with Kryazhimskii, A.V.), Kibernet. Sistem. Anal., 2002, no. 2, pp. 32–55.Google Scholar
  84. 84.
    The Method of Extremal Shift and Optimization Problems (together with Kryazhimskii, A.V.), Math. Control Theory. Differential Games: Proc. Steklov Inst. Math., 2004, Suppl. 2, pp. S91–S114.Google Scholar
  85. 85.
    The Method of Extremal Shift and Optimization Problems (together with Kryazhimskii, A.V.), Tr. Inst. Mat. Mekh., 2004, vol. 10, no. 2, pp. 83–106.Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • A. A. Gonchar
  • S. V. Emel’yanov
  • V. A. Il’in
  • V. V. Kozlov
  • S. K. Korovin
  • N. N. Krasovskii
  • A. B. Kurzhanskii
  • E. F. Mishchenko
  • E. I. Moiseev
  • V. A. Sadovnichii
  • L. D. Faddeev
  • A. V. Kryazhimskii
  • I. V. Gaishun
  • N. A. Izobov
  • N. L. Grigorenko
  • V. I. Maksimov
  • M. S. Nikol’skii

There are no affiliations available

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