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Aleksandr Borisovich Kurzhanski (A tribute in honor of his seventieth birthday)

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All papers in the present issue of the journal are dedicated to the seventieth birthday of Academician Aleksandr Borisovich Kurzhanski

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List of Scientific Publications by A. B. Kurzhanski

  1. Mathematical Models for Simulation of Environmental Monitoring Systems, in Proc. 1999 Western Conf. on Computer Simulation. Sec.“Mission Earth,” San Diego, Jan. 1999.

  2. Systems and Decision Sciences—the Research Methodology for Sustainable Development, in Tr. konf. po ustoichivomu razvitiyu (Proc. Conf. on Stable Development), St. Petersburg, 1999.

  3. On Two Methods of Calculating Viability Tubes, in Workshop on Dynamics and Control, Gordon & Breach, 1999, vol. 8, pp. 93–101.

  4. On the Problem of Control Synthesis: the Pontryagin Alternative Integral and the Hamilton-Jacobi Equation. (together with Mel’nikov, N.B.), Mat. Sb., 2000, vol. 191, no. 6, pp. 69–100.

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  5. The Reachability Problem under Persistent Disturbances (together with Varaiya, P.), Dokl. Akad. Nauk, 2000, vol. 372, no. 4, pp. 446–450.

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  6. Ellipsoidal Techniques for Reachability Analysis (together with Varaiya, P.), Proc. Pittsburg Conf. “Hybrid Systems-2000,” LNCS, Springer, 2000, vol. 170, pp. 202–214.

  7. Ellipsoidal Techniques for Reachability Analysis: Internal Approximation (together with Varaiya, P.), Systems Control Lett., 2000, vol. 41, pp. 201–211.

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  8. On the State Estimation Problem under Mixed Uncertainty (together with Digailova, I.A.), Proc. MTNS-2000, Perpignan, 2000, p. 6.

  9. The Information States in the Boundary Control Inverse Problem of Parabolic Type (together with Sivergina, I.F. and Sorokina, M.M.), in Tez. dokl. na konf. “Raspredelennye sistemy: optimizatsiya i prilozheniya v ekonomike i naukakh ob okruzhayushchei srede” (Abstr. Conf. “Distributed Systems: Optimization and Applications in Economics and Sciences on Environment”), Yekaterinburg, 2000.

  10. Dynamic Optimization for Reachability Problems (together with Varaiya, P.), J. Optim. Theory Appl., 2001, no. 2, pp. 227–251.

  11. Ellipsoidal Techniques for Reachability Problems under Nonellipsoidal Constraints (together with Kirilin, M.N.), Proc. NOLCOS-01, St. Petersburg, 2001, p. 768.

  12. The State Estimation Problem under Mixed Uncertainty (together with Digailova, I.A.), Proc. NOLCOS-01, St. Petersburg, 2001, p. 584.

  13. Nonlinear Synthesis of Controls under Double Constraints (together with Dar’in, A.N.), Differ. Uravn., 2001, vol. 37, no. 11, pp. 1476–1484.

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  14. On Reachability under Uncertainty (together with Varaiya, P.), SIAM J. Control Optim., 2002, vol. 41, no. 1, pp. 181–216.

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  15. On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations (together with Varaiya, P.), Optim. Methods Softw., 2002, vol. 17, pp. 177–206.

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  16. On Ellipsoidal Techniques for Reachability Analysis. Part II: Internal Approximations. Box-valued Constraints (together with Varaiya, P.), Optim. Methods Softw., 2002, vol. 17, pp. 207–237.

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  17. Reachability Analysis for Uncertain Systems-the Ellipsoidal Technique (together with Varaiya, P.), Dyn. of Contin., Discrete Impuls. Syst. Ser. B, 2002, vol. 9, no. 3, pp. 347–367.

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  18. Reachability under State Constraints-the Ellipsoidal Technique (together with Varaiya, P.), Proc. of IFAC-2002, Barcelona, 2002.

  19. The Principle of Optimality in Measurement Feedback Control for Linear Systems, in Directions in Mathematical Systems Theory and Optimization, Rantzer, A., Byrnes, C., Eds., Springer, 2003, Ser. LNCIS, vol. 286.

  20. Control under Uncertainty Conditions and Double Constraints (together with Dar’in, A.N.), Differ. Uravn., 2003, vol. 39, no. 11, pp. 1474–1486.

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  21. On the Problem of Measurement Feedback Control, Prikl. Mat. Mekh., 2004, vol. 68, no. 4, pp. 547–563.

  22. On Some Nonstandard Dynamic Programming Problems of Control Theory (together with Varaiya, P.), in Variational Methods and Applications, Giannessi, F., Maugeri, A., Eds., New York: Kluwer Acad. Pub., 2004, pp. 613–627.

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  23. The Attainability Problem under Stochastic Perturbations (together with Digailova, I.A.), Differ. Uravn., 2004, vol. 40, no. 11, pp. 1495–1499.

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  24. Differential Equations in the Synthesis of Controls. I. Ordinary Systems, Differ. Uravn., 2005, vol. 41, no. 1, pp. 12–22.

  25. The Diagnostics of Safety Zones in Motion Planning, Optim. Methods Softw., 2005, vol. 20, no. 2–3, pp. 225–233.

  26. On Problems of Control Synthesis from Actually Available Information, Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2005, spec. issue, pp. 113–122.

  27. The Dynamic Programming Method in Problems of the Synthesis of Impulsive Controls (together with Dar’in, A.N. and Seleznev, A.I.), Differ. Uravn., 2005, vol. 41, no. 11, pp. 1491–1500.

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  28. Nonlinear Control Synthesis under Double Constraints (together with Daryin, A.N.), Proc. of 16th IFAC World Congress. Prague, Czech Republic, July 3–8, 2005, p. 6.

  29. Reachability Analysis under Control-Dependent Stochastic Noise (together with Digailova, I.A.), Proc. of 16th IFAC World Congress. Prague, Czech Republic, July 3–8, 2005, p. 6.

  30. Method of Dynamic Programming in Problems of Control Synthesis (together with Dar’in, A.N.), Sb. tr. konf. “Problemy upravleniya i prilozheniya (tekhnika, proizvodstvo, ekonomika),” Minsk, mai 2005 (Proc. Conf. “Control Problems and Applications (Engineering, Production, Economics)),” Minsk, May, 2005, Minsk, vol. 2, pp. 51–65.

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  31. On Some Nonstandard Dynamic Programming Problems of Control Theory (together with Varaiya, P.), in Nonconvex Optimization and Its Applications, Giannessi, F., Mangeri, A., Eds., New York: Springer, 2005, pp. 589–603.

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  32. A Dynamic Programming Approach to the Impulse Control Synthesis Problem (together with Daryin, A.N. and Seleznev, A.V.), Proc. of Joint 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain, December, 2005.

  33. Comparison Principle for Hamilton-Jacobi Equations in the Control Theory, Tr. Inst. Mat. Mekh. UrO RAN, 2006, vol. 12, no. 1, pp. 173–183.

  34. On the Damping of a Multiconnected Oscillatory System under Uncertain Disturbances (together with Vostrikov, I.V. and Dar’in, A.N.), Differ. Uravn., 2006, vol. 42, no. 11, pp. 1452–1463.

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  35. Problems in Dynamics and Control for Hybrid Systems (together with Varaiya, P.), Tr. mezhdunar. sem. “Teoriya upravleniya i teoriya obobshchennykh reshenii uravnenii Gamil’tona-Yakobi” (Proc. Int. Sem. “Control Theory and Theory of Generalized Solutions of Hamilton-Jacobi Equations”), Yekaterinburg: Izd. Ural. Univ., 2006, vol. 1, pp. 1–16.

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  36. Optimization Techniques for State-Constrained Control and Obstacle Problems (together with Varaiya, P.), J. Optim. Theory Appl. (JOTA), 2006, vol. 128, no. 3, pp. 499–521.

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  37. Ellipsoidal Techniques for Reachability under State Constraints (together with Varaiya, P.), SIAM J. Control Optim., 2006, vol. 45, no. 4, pp. 1369–1394.

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  38. On the Synthesis of Systems with Impulsive Control, Mekhatronika, Avtomatizatsiya, Upravlenie, 2007, no. 4, pp. 2–12.

  39. Synthesis of Controls in the Class of Generalized Higher-Order Functions (together with Dar’in, A.N.), Differ. Uravn., 2007, vol. 43, no. 11, pp. 1443–1453.

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  40. The Hamilton-Jacobi Equations for Nonlinear Target Control and Their Approximation (together with Varaiya, P.), in Analysis and Design of Nonlinear Control Systems (in Honor of Alberto Isidori), Springer-Verlag, 2007, pp. 77–90.

  41. Closed-Loop Impulse Control of Oscillating Systems (together with Daryin, A.N.), Proc. of 3rd IFAC Workshop on Periodic Control Systems-PSYCO’07, St. Petersburg, August 2007.

  42. Dynamic Programming for Impulse Controls (together with Daryin, A.N.), Annual Reviews in Control, 2008, vol. 32, no. 2, pp. 213–227.

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  43. Impulse Control Inputs and the Theory of Fast Feedback Control (together with Daryin, A.N.), Proc. of 17th World Congress IFAC. 6–11 July 2008, Seoul, 2008, pp. 4869–4874.

  44. Stochastic Reachability and Measurement Feedback (together with Digailova, I.A. and Varaiya, P.), Proc. of 17th World Congress IFAC. 6–11 July 2008, Seoul, 2008, pp. 14336–14341.

  45. Weakly Invariant Sets of Hybrid Systems (together with Tochilin, P.A.), Differ. Uravn., 2008, vol. 44, no. 11, pp. 1523–1533.

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  46. The Control Problem for Group Motion. General Relations, Dokl. Akad. Nauk, 2009, vol. 426, no. 1, pp. 20–25.

  47. Impulsive Controls in Models of Hybrid Systems (together with Tochilin, P.A.), Differ. Uravn., 2009, vol. 45, no. 5, pp. 716–727.

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Authors
  1. F. L. Chernous’ko
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  2. S. V. Emel’yanov
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  3. I. V. Gaishun
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  4. M. I. Gusev
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  5. V. A. Il’in
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  6. N. A. Izobov
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  7. S. K. Korovin
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  8. V. V. Kozlov
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  9. N. N. Krasovskii
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  10. G. I. Marchuk
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  11. E. F. Mishchenko
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  12. E. I. Moiseev
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  13. Yu. S. Osipov
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  14. V. A. Sadovnichii
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Additional information

Original Russian Text © the Editorial Board, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 11, pp. 1523–1529.

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Chernous’ko, F.L., Emel’yanov, S.V., Gaishun, I.V. et al. Aleksandr Borisovich Kurzhanski (A tribute in honor of his seventieth birthday). Diff Equat 45, 1557–1563 (2009). https://doi.org/10.1134/S0012266109110012

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