ICS RAS L.7 V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Laboratory 7
Adaptive and Robust Systems

Last modified Nov 22, 2010.

Selected publications

Books:
  1. Yakov Zalmanovich Tsypkin (1919-1997). Moscow, 2007. - 304 pages. (in Russian) (pdf, 10Mb)
  2. Oleg N. Granichin, Boris T. Polyak. Randomised algorithms for estimation and optimization under almost arbitrary disturbances. Moscow: Nauka, 2003. - 291 pages. (in Russian)
  3. Boris T. Polyak, Pavel S. Shcherbakov. Robust stability and control. Moscow: Nauka, 2002. - 303 pages. (in Russian) (zipped djvu, 20Mb)
  4. Boris T. Polyak Introduction to Optimization, New York, Optimization Software, 1987, 464 pages. (zipped djvu, 5Mb), (in Russian: pdf, 18Mb; zipped djvu, 6Mb)
Ya.Z. Tsypkin O.N. Granichin, B.T.Polyak
B.T. Polyak, P.S. Shcherbakov B.T. Polyak, Introduction to optimization

Journal papers and chapters in books:
  1. Polyak B.T., Gryazina E.N. Randomized Methods Based on New Monte-Carlo Schemes for Control and Optimization. The Annals of Operations Research, 2009 (accepted). (pdf)
  2. Polyak B.T., Topunov M.V. "Filtering under Nonrandom Disturbances: The Method of Invariant Ellipsoids" Doklady RAN, 2008, v. 418, N 6, 749-753 (in Russian) = Doklady Mathematics, 2008, v. 77, No. 1, 158-162 (pdf)
  3. Polyak B.T., Topunov M.V. "Suppression of Bounded Exogenous Disturbances: Output Feedback" Avtom. i Telemekh., 2008, N 5, 72-90 (in Russian) = Autom. and Remote Control, 2008, v. 69, No. 5, 801-818 (pdf)
  4. Gryazina E.N., Polyak B.T., Tremba A.A. "D-decomposition Technique State-of-the-art" Avtom. i Telemekh., 2008, N 11, 3-40 (in Russian) = Autom. and Remote Control, 2008, v. 69, No. 12, 1991-2026 (pdf)
  5. Polyak B.T., Nazin S.A., Khlebnikov M.V. "The invariant ellipsoids technique for analysis and design of linear control systems", Advances in Mechanics: Dynamics and Control: Proceedings of the 14th International Workshop on Dynamics and Control, ed. F.L. Chernousko, G.V. Kostin, V.V. Saurin, Moscow: Nauka, 2008, 239-246. (pdf)
  6. Polyak B.T., Khlebnikov M.V., Shcherbakov P.S. "Robust rejection of exogenous disturbances via invariant ellipsoids technique", Advances in Mechanics: Dynamics and Control: Proceedings of the 14th International Workshop on Dynamics and Control, ed. F.L. Chernousko, G.V. Kostin, V.V. Saurin, Moscow: Nauka, 2008, 247-254. (pdf)
  7. Petrikevich Ya.I., Polyak B.T. "Monte-Carlo Technique for Stabilization of Linear Discrete-Time Systems via Low-Order Controllers", Advances in Mechanics: Dynamics and Control: Proceedings of the 14th International Workshop on Dynamics and Control, ed. F.L. Chernousko, G.V. Kostin, V.V. Saurin, Moscow: Nauka, 2008, 232-238. (pdf)
  8. Dabbene F., Shcherbakov P.S.  Fast computation of dilation integrals for robustness analysis. Proc. of IEEE American Control Conference, New York, USA, July 11-13, 2007. (pdf)
  9. Dabbene F., Polyak B.T., Tempo R. On the complete instability of interval polynomials. Systems and Control Letters, 2007, vol. 56, No. 6, pp. 431-438. (pdf)
  10. Nazin S.A., Polyak B.T., Topunov M.V. Rejection of bounded exogenous disturbances by the method of invariant ellipsoids. Automation and Remote Control, 2007, vol. 68, No. 3, pp. 467-486. (pdf)
  11. Gryazina E.N., Polyak B.T., Tremba A.A. Design of the low-order controllers by the H criterion: a parametric approach. Automation and Remote Control, 2007, vol. 68, No. 3, pp. 456-466. (pdf)
  12. Polyak B.T., Shcherbakov P.S.  The D-decomposition technique for linear matrix inequalities. Automation and Remote Control, 2006, vol. 67, No. 11, pp. 1847-1861. (pdf)
  13. Polyak B.T.  New challenges in nonlinear control: stabilization and synchronization of chaos. In: "Forever Ljung in System Identification" (T.Glad and G.Hendeby Eds). Lund: Studentlitteratur, 2006, pp. 147-168. (pdf)
  14. Alexandrov A.G., Orlov Yu.F.  A frequency adaptive control for multidimensional systems. Automation and Remote Control, 2006, vol. 67, No. 7, pp. 1108-1122. (pdf)
  15. Polyak B.T.  Newton-Kantorovich method and its global convergence. Journal of Mathematical Sciences, 2006, vol. 133, No. 4, pp. 1513-1523. (pdf)
  16. Nesterov Yu.E., Polyak B.T.  Cubic regularization of Newton method and its global performance. Mathematical Programming, Ser. A, 2006, vol. 108, No. 1, pp. 177-205. (pdf)
  17. Gryazina E.N., Polyak B.T.  Stability regions in the parameter space: D-decomposition revisited. Automatica, 2006, vol. 42, No. 1, pp. 13-26. (pdf)
  18. Iouditski A.B., Nazin A.V., Tsybakob A.B., Vayatis N.  Recursive aggregation of estimators by the mirror descent algorithm with averaging. Problems of Information Transmission, vol. 41, No. 4, 2005, pp. 368-384. (pdf)
  19. Girard S., Iouditski A., Nazin A.V.  L1-optimal nonparametric frontier estimation via linear programming. Automation and Remote Control, 2005, vol. 66, No. 12, pp. 2000-2018. (pdf)
  20. Roll J., Nazin A., Ljung L.  Non-linear system identification via direct weight optimization. Automatica, Special Issue on "Data-Based Modelling and System Identification", 2005, vol. 41, No. 3, pp. 475-490. (pdf)
  21. Polyak B.T.  Stabilizing chaos with predictive control. Automation and Remote Control, 2005, vol. 66, No. 11, pp. 1791-1804. (pdf)
  22. Alexandrov A.G., Orlov Yu.F.  Comparison of two methods of identification under unknown-but-bounded disturbances. Automation and Remote Control, 2005, vol. 66, No. 10, pp. 1647-1665. (pdf)
  23. Polyak B.T., Shcherbakov P.S.  Hard problems in linear control theory: possible approaches to solution. Automation and Remote Control, 2005, vol. 66, No. 5, pp. 681-718. (pdf)
  24. Bouchard G., Girard S., Iouditski A., Nazin A.V.  Some linear programming methods for frontier estimation. Applied Stochastic Models in Business and Industry, 2005, vol. 21, No. 2, pp.175-185. (pdf)
  25. Nazin S.A., Polyak B.T.  Interval parameter estimation under model uncertainty. Mathematical and Computer Modelling of Dynamical Systems, 2005, vol. 11, No. 2, pp. 225-237. (pdf)
  26. Nazin A.V., Nazin S.A., Polyak B.T.  On Convergence of external ellipsoidal approximations of the reachability domains of discrete dynamic linear systems. Automation and Remote Control, 2004, vol. 65, No. 8, pp. 1210-1230. (pdf)
  27. Polyak B.T., Nazin S.A.  Interval solution for interval algebraic equations. Mathematics and Computers in Simulation, 2004, vol. 66, No. 2-3, pp. 207-217. (pdf)
  28. Polyak B.T., Nazin S.A., Durieu C., Walter E.  Ellipsoidal parameter or state estimation under model uncertainty. Automatica, 2004, vol. 40, No. 7, pp. 1171-1179. (pdf)
  29. Alexandrov A.G.  Reference-model adaptive control under external disturbances. Automation and Remote Control, 2004, vol. 65, No. 5, pp. 755-767. (pdf)
  30. Poznyak A., Nazin A.V., Murano D.  Observer matrix gain optimization for stochastic continuous time nonlinear systems. Systems & Control Letters, 2004, vol. 52, No. 5, pp. 377-385. (pdf)
  31. Polyak B.T. Extended superstability in control theory. Automation and Remote Control, 2004, vol. 65, No. 4, pp. 1-10. (pdf)
  32. Bouchard G., Girard S., Iouditski A.B., Nazin A.V.  Nonparametric frontier estimation by linear programming. Automation and Remote Control, 2004, vol. 65, No. 1, pp. 58-64. (pdf)
  33. Dabbene F., Gay P., Polyak B.T.  Recursive algorithms for inner ellipsoidal approximation of convex polytopes. Automatica, 2003, vol. 39, No. 10, pp. 1773-1781. (pdf)
  34. Polyak B.T.  Robust linear algebra and robust aperiodicity. In: "Directions in Mathematical Systems Theory and Optimization" (A.Rantzer, C.I.Byrnes Eds.), Springer, 2003, pp. 249-260. (pdf)
  35. Halpern M., Polyak B.T.  Optimization-based design of fixed-order controllers for command following. Automatica, 2002, vol. 38, No. 9, pp. 1615-1619. (pdf)
  36. Nazin A.V., Ljung L.  Asymptotically optimal smoothing of averaged LMS estimates for regression parameter tracking. Automati˝a, 2002, vol. 38, No. 8, pp. 1287-1293. (pdf)
  37. Polyak B.T., Shcherbakov P.S.  Superstable linear control systems. 1. Analysis. Automation and Remote Control, 2002, vol. 63, No. 8, pp. 1239-1254. (pdf)
  38. Polyak B.T., Shcherbakov P.S.  Superstable linear control systems. 2. Design. Automation and Remote Control, 2002, vol. 63, No. 11, pp. 1745-1763. (pdf)
  39. Barmish B.R., Shcherbakov P.S.  On avoiding vertexization of robustness problems: the approximate feasibility concept. IEEE Trans. Autom. Contr., 2002, vol. 47, No.5, pp. 819-824. (pdf)
  40. Durieu C., Walter E., Polyak B.T.  Multi-input multi-output ellipsoidal state bounding. Journ. of Optimiz. Theory and Appl., 2001, vol. 111, No. 2, pp. 273-303. (pdf)
  41. Polyak B.T., Tempo R.  Probabilistic robust design with linear quadratic regulators. Systems and Control Letters, 2001, vol. 43, No. 5, pp. 343-353. (pdf)
  42. Calafiore G., Polyak B.T.  Stochastic algorithms for exact and approximate feasibility of robust LMIs. IEEE Trans. Autom. Contr., 2001, vol. 46, No. 11, pp. 1755-1759. (pdf)
  43. Polyak B.T. Convexity of nonlinear image of a small ball with applications to optimization. Set-Valued Analysis, 2001, vol. 9, No. 1/2, pp. 159-168. (pdf)
  44. Polyak B.T.  Local programming. Comput. Mathematics and Math. Physics, 2001, vol. 41, No. 9, pp. 1324-1331. (pdf) (in Russian)
  45. Juditsky A.B., Nazin A.V.  On minimax approach to nonparametric adaptive control. Intern. Journ. Adaptive Contr. and Signal Proc., 2001, vol. 15, No.2, pp.153-168. (pdf)
  46. Polyak B.T., Halpern M.  Optimal design for discrete-time linear systems via new performance index. Intern. Journ. Adaptive Contr. and Signal Proc., 2001, vol. 15, No.2, pp.129-152.
  47. Polyak B.T., Shcherbakov P.S. Random spherical uncertaintly in estimation and robustness. IEEE Trans. Autom. Control, 2000, vol. 45, No. 11, pp. 2145-2150. (pdf)
  48. Polyak B.T. Convexity of quadratic transformations and its use in control and optimization. Journ. of Optimiz. Theory and Appl., 1998, vol. 99, No. 3, pp. 553-583. (pdf)

L7 2003—2016