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On the 70th birthday of academician Yurii Sergeevich Osipov

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List of Osipov’s basic publications

1. Stabilization of Systems with Delay

  • N. N. Krasovskii and Yu. S. Osipov, “Stabilization of the Motions of a Controlled System with Delay in a Regulation System,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6, 3–15 (1963).

  • Yu. S. Osipov, “On the Reduction Principle in Critical Cases of Motion Stability of Systems with Time Delay,” Prikl. Mat. Mekh. 29, 810–820 (1965).

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  • Yu. S. Osipov, “Stabilization of Nonlinear Controlled Systems with Delay in the Critical Case of One Zero Root,” Differ. Uravn. 1, 908–922 (1965).

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  • Yu. S. Osipov, “Stabilization of Controlled Systems with Delay,” Differ. Uravn. 1, 605–618 (1965).

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  • Yu. S. Osipov, Candidate’s Dissertation in Mathematics and Physics (UrGU, Sverdlovsk, 1965).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “On Optimal Control with Constraints on System’s Phase Coordinates,” Optimal and Adaptive Systems: Proceedings of IV All-Union Conference on Automated Control, Tbilisi, 1968 (Nauka, Moscow, 1972), pp. 124–133.

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2. Control Problems with State Constraints

  • A. B. Kurzhanskii and Yu. S. Osipov, “Control Problem with Constrained Phase Coordinates,” Prikl. Mat. Mekh. 32, 194–202 (1968).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “Optimal Control Theory with Constraints on State Variables,” Proceedings of IV International Congress on Automated Control (IFAK, Warsaw, 1969).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “Control of a Linear System with Generalized Actions,” Differ. Uravn. 5, 1360–1370 (1969).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “Control Problems with Constrained Coordinates,” Prikl. Mat. Mekh. 33, 705–719 (1969).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “On a Control Problem with Constrained Coordinates,” Izv. Akad. Nauk SSSR, Tekh. Kibern. No. 5, 22–28 (1970).

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  • A. B. Kurzhanskii and Yu. S. Osipov, “Problems of Program Pursuit in Linear Systems,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 18–29 (1970).

3. Differential Games and Control Problems with Incomplete Information

  • Yu. S. Osipov, “Alternative in a Differential-Difference Game,” Dokl. Akad. Nauk SSSR 197, 1022–1025 (1971).

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  • Yu. S. Osipov, “Targeting Differential Game for Systems with Aftereffect,” Prikl. Mat. Mekh. 35, 123–131 (1971).

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  • Yu. S. Osipov, “Differential Games for Systems with Aftereffect,” Dokl. Akad. Nauk SSSR 196, 779–782 (1971).

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  • Yu. S. Osipov, “Theory of Differential Games for Systems with Aftereffect,” Prikl. Mat. Mekh. 35, 300–311 (1971).

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  • N. N. Krasovskii and Yu. S. Osipov, “Linear Differential-Difference Games,” Dokl. Akad. Nauk SSSR 197, 777–780 (1971).

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  • Yu. S. Osipov, “On the Conditions of Absorption Stability in Differential-Difference Games I,” in Controlled Systems (Novosibirsk, 1971), No. 8, pp. 13–20 [in Russian].

  • Yu. S. Osipov, “On the Conditions of Absorption Stability in Differential-Difference Games II,” in Controlled Systems (Novosibirsk, 1971), No. 8, pp. 21–28 [in Russian].

  • Yu. S. Osipov, Doctoral Dissertation in Mathematics and Physics (LGU, Leningrad, 1971).

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  • Yu. S. Osipov, “Minimax Absorption in Differential-Difference Games,” Dokl. Akad. Nauk SSSR 203, 32–35 (1972).

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  • N. N. Krasovskii and Yu. S. Osipov, “Control Problem with Incomplete Information,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 5–14 (1973).

  • A. V. Kryazhimskii and Yu. S. Osipov, “Differential-Difference Game of Pursuit-Evasion with Functional Terminal Space,” Prikl. Mat. Mekh. 37, 3–13 (1973).

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  • N. N. Krasovskii and Yu. S. Osipov, “Theory of Differential Games with Incomplete Information,” Dokl. Akad. Nauk SSSR 215, 780–783 (1974).

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  • Yu. S. Osipov, “An Information Game Problem,” Optimization Techniques: IFIP Technical Conference, Novosibirsk, July 1–7, 1974 (Springer-Verlag, Berlin, 1975), pp. 482–486.

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  • Yu. S. Osipov and L. P. Alesenko, “Regularization of Controls in Pursuit-Evasion Differential-Difference Game,” Differ. Uravn. 12, 999–1006 (1976).

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  • Yu. S. Osipov and V. G. Pimenov, “On the Theory of Differential Games in Systems with Aftereffect,” Prikl. Mat. Mekh. 42, 969–977 (1978).

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  • Yu. S. Osipov and V. G. Pimenov, “Closed-Loop Control with Aftereffect in Control Forces,” Prikl. Mat. Mekh. 45, 223–229 (1981).

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4. Control Problems for Distributed Systems

  • I. F. Vaisburd and Yu. S. Osipov, “Differential Game of Pursuit-Evasion for Systems with Distributed Parameters,” Prikl. Mat. Mekh. 39, 772–779 (1975).

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  • Yu. S. Osipov, “On the Theory of Differential Games in Systems with Distributed Parameters,” Dokl. Akad. Nauk SSSR 223, 1314–1317 (1975).

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  • Yu. S. Osipov, “On a Differential Game of Pursuit-Evasion,” Proceedings of Institute of Mathematics and Mechanics, Ural Division, Ural Scientific Center, USSR Academy of Sciences (Inst. Mat. Mekh., Sverdlovsk, 1975), Vol. 15, pp. 157–166.

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  • A. B. Kurzhanskii and Yu. S. Osipov, Minimax Control and Estimation Problems in Systems with Distributed Parameters, in Proceedings of IFAC 6th World Congress, Dusseldorf, 1975 (Boston, Mass., 1975), pp. 15.5/1–15.5/11.

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  • Yu. S. Osipov and S. P. Okhezin, “On the Theory of Differential Games in Parabolic Systems,” Dokl. Akad. Nauk SSSR 226, 1267–1270 (1976).

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  • Yu. S. Osipov, “Closed-Loop Control in Parabolic Systems,” Prikl. Mat. Mekh. 41, 195–201 (1977).

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  • Yu. S. Osipov and S. P. Okhezin, “On the Theory of Closed-Loop Control in Hyperbolical Systems,” Dokl. Akad. Nauk SSSR 233, 551–554 (1977).

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  • A. I. Korotkii and Yu. S. Osipov, “Approximation in Closed-Loop Control Problems for Parabolic Systems,” Prikl. Mat. Mekh. 42, 599–605 (1978).

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  • Yu. S. Osipov, A. V. Kryazhimskii, and S. P. Okhezin, Control Problems in Systems with Distributed Parameters, in Dynamics of Controlled Systems (Nauka, Novosibirsk, 1979), pp. 199–208 [in Russian].

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  • A. I. Korotkii and Yu. S. Osipov, “On Closed-Loop Control in Systems with Distributed Parameters,” Prikl. Mat. Mekh. 44, 611–617 (1980).

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  • Yu. S. Osipov and A. P. Suetov, “On a Problem of J.-L. Lions,” Dokl. Akad. Nauk SSSR 276, 288–291 (1984).

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  • Yu. S. Osipov and A. P. Suetov, “Problems in Qualitative Optimization Theory of Constructions,” in Problems in Qualitative Theory of Differential Equations (Irkutsk. Vychisl. Tsentr, Sib. Otd. Akad. Nauk SSSR, Novosibirsk, 1988), pp. 237–244 [in Russian].

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  • Yu. S. Osipov and A. P. Suetov, Existence of Optimal Forms of Elliptic Systems: The Case of Dirichlet Boundary Conditions (Inst. Mat. Mekh., Sverdlovsk, 1990) [in Russian].

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  • Yu. S. Osipov, L. Pandolfi, and V. I. Maksimov, “The Problem of Robust Boundary Control: The Case of Dirichlet Boundary Conditions,” Dokl. Akad. Nauk 374, 310–312 (2000).

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  • Yu. S. Osipov, L. Pandolfi, and V. I. Maksimov, “Problems of Dynamical Reconstruction and Robust Boundary Control: The Case of Dirichlet Boundary Conditions,” J. Inverse Ill-Posed Probl. 9(2), 149–162 (2001).

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5. Problem of Dynamic Inversion

  • Yu. S. Osipov and A. V. Kryazhimskii, “Method of Positional Regularization in the Problem of Motion Construction,” in Abstracts of Papers of the V All-Union Meeting on Theoretical and Applied Mechanics (Nauka KazSSR, Alma-Ata, 1981), p. 214.

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  • A. V. Kryazhimskii, V. I. Maksimov, and Yu. S. Osipov, “On Positional Modeling in Dynamical Systems,” Prikl. Mat. Mekh. 47, 883–890 (1983).

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  • Yu. S. Osipov and A. V. Kryazhimskii, “On Dynamic Solution of Operator Equations,” Dokl. Akad. Nauk SSSR 269, 552–556 (1983).

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  • A. V. Kryazhimskii and Yu. S. Osipov, “On Modeling of Control in Dynamical Systems,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2, 51–60 (1983).

  • Yu. S. Osipov and A. V. Kryazhimskii, On Modeling of Dynamical System Parameters, in Problems of Control and Modeling in Dynamical Systems (Ural. Nauchn. Tsentr Akad. Nauk SSSR, Sverdlovsk, 1984), pp. 47–68 [in Russian].

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  • A. V. Krjazimskii and Yu. S. Osipov, “On Positional Calculation of ω-Normal Controls in Dynamical System,” Probl. Control Inform. Theory 13, 425–436 (1984).

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  • Yu. S. Osipov and A. V. Krjazhimskii, Positional Modeling of Stochastic Control in Dynamical Systems, in International Conference on Stochastic Optimization Processes, Kiev, 1984 (Springer-Verlag, Berlin, 1986), pp. 696–704.

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  • A. V. Kryazhimskii and Yu. S. Osipov, “Best Approximation of the Differentiation Operator in the Class of Nonanticipatory Operators,” Mat. Zametki 37(2), 192–199 (1985).

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  • Yu. S. Osipov and A. V. Kryazhimskii, Lyapunov Function Method in the Problem of Motion Modeling, in Stability of Motion (Nauka, Novosibirsk, 1985), pp. 53–56 [in Russian].

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  • A. V. Kryazhimskii and Yu. S. Osipov, On Dynamical Regularization of Linear Algebraic Equations, in Problems of Positional Modeling (Ural. Nauchn. Tsentr Akad. Nauk SSSR, Sverdlovsk, 1986), pp. 41–84 [in Russian].

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  • Yu. S. Osipov, “Problems of Dynamical Reconstruction,” in The Number and Thought (Znanie, Moscow, 1987), Vol. 10, pp. 7–27 [in Russian].

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  • A. V. Kryazhimskii and Yu. S. Osipov, “Regularization of Convex Extremal Problem with Inaccurately Given Constraints: Application to the Optimal Control Problem with Phase Constraints,” in Certain Methods of Closed-Loop and Open-Loop Control (Sverdlovsk, 1987), pp. 34–54 [in Russian].

  • A. V. Kryazhimskii and Yu. S. Osipov, “Inverse Dynamic Problems and Controlled Models,” in Mechanics and Scientific-and-Technological Advance, Vol. 1: General and Applied Mechanics (Moscow, 1987), pp. 196–211 [in Russian].

  • Yu. S. Osipov, “Control Problems under Insufficient Information,” in System Modeling and Optimization: Proceedings of 13th IFIP Conference, Aug. 31–Sept. 4, Tokyo, 1987 (Springer-Verlag, Berlin, 1987), pp. 29–51.

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  • A. V. Kryazhimskii and Yu. S. Osipov, “Stable Solutions of Inverse Problems in the Dynamics of Controlled Systems,” Tr. Mat. Inst. im. V.A. Steklova Akad. Nauk SSSR 185, 126–146 (1988).

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  • A. V. Kryazhimskii and Yu. S. Osipov, “On Methods of Positional Modeling of Control in Dynamical Systems,” in Problems in Qualitative Theory of Differential Equations and Control Systems (Sverdlovsk, 1988), pp. 34–44 [in Russian].

  • A. V. Kryazhimskii and Yu. S. Osipov, “On Stable Positional Reconstruction of Control from Measurements of Some of the Coordinates,” in Certain Problems in Control Theory and Stability (Sverdlovsk, 1989), pp. 33–47 [in Russian].

  • Yu. S. Osipov and A. V. Kryazhimskii, “Lyapunov Function Method in the Problem of Motion Modeling,” in Stability of Motion (Novosibirsk, 1989), pp. 53–56 [in Russian].

  • A. V. Kim, A. I. Korotkii, and Yu. S. Osipov, “Inverse Problems in the Dynamics of Parabolic Systems,” Prikl. Mat. Mekh. 54, 754–759 (1990).

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  • Yu. S. Korbich, V. I. Maksimov, and Yu. S. Osipov, “Dynamic Modeling of Controls in Some Parabolic Systems,” Prikl. Mat. Mekh. 54, 355–360 (1990).

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  • A. I. Korotkii and Yu. S. Osipov, “Dynamic Modeling of Parameters in Hyperbolic Systems,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2, 154–164 (1991).

  • Yu. S. Osipov, A. V. Kryazhimskii, and V. I. Maksimov, Preprint IMM UrO (Inst. of Mathematics and Mechanics, Ural Division, USSR Academy of Sciences, Sverdlovsk, 1991) [in Russian].

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  • Yu. S. Osipov, “Inverse Problem of Dynamics for Systems Described by Parabolic Inequality,” in Modeling and Inverse Problems of Control for Described Parameter Systems (Springer-Verlag, Berlin, 1991), pp. 127–134.

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  • Yu. S. Osipov and A. I. Korotkii, “On Dynamical Restoration of Parameters of Elliptic Systems” in Ill-Posed Problems in Natural Sciences: Proceedings of the First International Conference, Moscow, 1991 (TVP Sci. Publ., Utrecht, 1992), pp. 108–117.

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  • Yu. S. Osipov, On the Reconstruction of a Parameter for a Hyperbolic Systems (Working Papers/IIASA; WP-91-54, Laxenburg, 1991).

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  • Yu. S. Osipov, On Reconstruction of Coefficients for Differential Equations, in Current Problems of Analysis and Mathematical Physics, Taormina, 1992 (Univ. Roma “La Sapienza”, Rome, 1993), pp. 195–199.

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  • Yu. S. Osipov and A. V. Kryazhimskii, Inverse Problem of Ordinary Differential Equations: Dynamical Solutions (Gordon & Breach, Basel, 1995).

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  • Yu. S. Osipov, A. V. Kryazhimskii, and V. I. Maksimov, “Dynamical Inverse Problems for Systems with Distributed Parameters,” J. Inverse Ill-Posed Probl. 4(4), 267–282 (1996).

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  • A. V. Kryazhimskii, V. I. Maksimov, and Yu. S. Osipov, Reconstruction of Boundary Sources through Sensor Observations (Working Papers/IIASA; WP-96-97, Laxenburg, 1996).

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  • A. V. Kryazhimskii, V. I. Maksimov, and Yu. S. Osipov, “Reconstruction of Extremal Perturbations in Parabolic Equations,” Zh. Vychisl. Mat. Mat. Fiz. 37, 291–301 (1997) [Comput. Math. Math. Phys. 37, 288–298 (1997)].

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  • Yu. S. Osipov, F. P. Vasil’ev, and M. M. Potapov, The Basics of the Dynamic Regularization Method (Mosk. Gos. Univ., Moscow, 1999) [in Russian].

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  • Yu. S. Osipov, A. V. Kryazhimskii, and V. I. Maksimov, “Dynamic Inverse Problems for Parabolic Systems,” Differ. Uravn. 36, 579–597 (2000) [Differ. Equations 36, 643–661 (2000)].

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6. Game Control Problems

  • A. V. Kryazhimskii and Yu. S. Osipov, “On Differential-Evolution Games,” Tr. Mat. Inst. im. V.A. Steklova Ross. Akad. Nauk 211, 257–287 (1995).

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  • A. V. Kryazhimskii and Yu. S. Osipov, “On Differential Evolution Games,” Differ. Uravn. 32, 1051–1062 (1996).

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  • A. V. Kryazhimskii and Yu. S. Osipov, “Approximative Linear Reduction in Guidance and Evasion Differential Game,” Tr. Mat. Inst. im. V.A. Steklova Ross. Akad. Nauk 220, 173–194 (1998) [Proc. Steklov Inst. Math. 220, 170–191 (1998)].

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  • A. V. Kryazhimskii and Yu. S. Osipov, “On Two-Dimensional Reduction in a Differential Game of Quality,” Tr. Mat. Inst. im. V.A. Steklova Ross. Akad. Nauk 224, 218–233 (1999) [Proc. Steklov Inst. Math. 224, 198–211 (1999)].

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  • A. V. Kryazhimskii and Yu. S. Osipov, “On an Algorithmic Criterion for the Solvability of Game Problems for Linear Controlled Systems,” in Proceedings of Institute of Mathematics and Mechanics, Ural Division, Ural Scientific Center, Russian Academy of Sciences (Inst. Mat. Mekh., Yekaterinburg, 2000), Vol. 6, No. 1/2, pp. 131–140 [in Russian].

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  • A. V. Kruazhimskii and Yu. S. Osirov, “On an Algorithmic Criterion of the Solvability of Game Problems for Linear Controlled Systems,” Proc. Steklov Inst. Math., Suppl. 1, S154–S162 (2000).

  • A. V. Kryazhimskii and Yu. S. Osipov, “Extremal Problems with Separable Graphs,” Kibern. Sist. Anal., No. 2, 32–55 (2002).

  • A. V. Kruazhimskii and Yu. S. Osirov, “The Method of Extremal Shift and Optimization Problems,” Proc. Steklov Inst. Math., Suppl. 2, S91–S114 (2004).

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    M. K. Kerimov

  2. Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

    V. K. Maksimov

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  1. M. K. Kerimov
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Original Russian Text © M.K. Kerimov, V.K. Maksimov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 9, pp. 1539–1544.

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Kerimov, M.K., Maksimov, V.K. On the 70th birthday of academician Yurii Sergeevich Osipov. Comput. Math. and Math. Phys. 46, 1459–1464 (2006). https://doi.org/10.1134/S0965542506090016

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