Pavel S. Shcherbakov

List of Publications

1. B.T.Polyak, P.S.Shcherbakov, Robust Stability and Control (in Russian), Moscow: Nauka, 2002.

1. Use of a priori data to refine parameter estimates, Automat. Remote Control, 49, 5, Pt. 1, 613-620 (1988).
2. Alexander Mikhailovitch Lyapunov: On the centenary of his doctoral dissertation on stability of motion, Automatica, 28, 5, 865-871 (1992).
3. (with A.V.Nazin) Averaging along trajectories in passive stochastic approximation (linear algorithm), Problemy Peredachi Informatsii, 29, 4, 35-45 (1993) = Problems of Inform. Transmiss.
4. A bibliographic data retrieval system on the methods for adjusting the weights of neural networks, Neurocomputer, 3/4, 5-8 (1993) (in Russian).
5. (with B.T.Polyak, S.B.Shmulyian) Construction of value set for robustness analysis via circular arithmetic, Intern. J. Robust & Nonlin. Control, 4, 3, 371-385 (1994).
6. (with A.V.Nazin) Passive stochastic approximation with averaging along trajectory, Avtomat. Telemekh., 5, 48-58 (1994) = Automat. Remote Control.
7. (with A.V.Nazin) Implemented optimal algorithm of passive stochastic approximation with averaging along trajectory, Problemy Peredachi Informatsii, 30, 3, 76-86 (1994) = Problems of Inform. Transmiss.
8. (with B.T.Polyak, S.B.Shmulyian) Circular arithmetic and its applications in robustness analysis, in: Modelling Techniques for Uncertain Systems, A.B.Kurzhanski and V.M.Veliov, eds., Birkhäuser, Boston, pp. 229-243 (1994).
9. (with B.T.Polyak) Algorithms of matrix estimation, Avtomat. Telemekh., 11, 122-139 (1995) = Automat. Remote Control.
10. (with B.T.Polyak) Robust stability of systems with uncertain delays, Mathematics Today (Bulletin of the Institute of Mathematics and its Applications), UK, 32, 7/8, 118-121 (1996).
11. (with B.T.Polyak) A probabilistic approach to robust stability of uncertain time-delay systems, Avtomat. Telemekh. 12, 97-108 (1996) = Automat. Remote Control.
12. A sufficient condition of robust stability of uncertain matrices, Automat. Remote Control , 59, 8, Pt. 1, 1110-1117 (1998).
13. (with C.M.Lagoa and B.R.Barmish) Probabilistic enhancement of classical robustness margins: The unirectangularity concept, Systems and Control Letters, 38, 31-43 (1998).
14. (with B.T.Polyak) Numerical search of stable or unstable element in matrix or polynomial families: A unified approach to robustness analysis and stabilization, in: Robustness in Identification and Control, Lecture Notes in Control and Inf. Sci., 245, A.Garulli, A.Tesi, and A.Vicino, eds., Springer (1999), pp. 344-358.
15. (with B.T.Polyak) Random spherical uncertainty in estimation and robustness, IEEE TAC, 45, 11, 2145-2150 (2000).
16. (with B.R.Barmish) On avoiding vertexization of robustness problems: The approximate feasibility concept, IEEE TAC , 42, 5, 819-824 (2002).
17. (with B.T.Polyak) Superstable linear control systems. I: Analysis. Avtom. Telemekh., 8, 37-53 (2002) = ARC , 63, 8, 1239-1254 (2002).
18. (with B.T.Polyak) Superstable linear control systems. II: Design. Autom. Telemekh., 11, 56-75 (2002) = ARC , 63, 11, 1745-11763 (2002).

1. (with B.T.Polyak) Matrix estimation and its applications to optimization problems, in: Proc. 7th IFAC Workshop on Nonlin. Prog. in Optimization and Control, Tbilisi, 1988, pp. 82-83.
2. Matrix least squares estimates, in: Proc. of the Institute for Control Sciences, Moscow, 1990, pp. 75-82 (in Russian).
3. (with A.V.Nazin) A NN-approach to design of the optimal stochastic approximation algorithms, in: Proc. IEE Intern. Conf. "Control'94", The Univ. of Warwick, Coventry, UK, Mar 21-24, 1994, pp. 449-453.
4. (with S.N.Tikhonov, J.D.Mason, and K.Warwick) Learning in neural networks and stochastic approximation methods with averaging, in: Advances in Neural Networks for Control and Systems, Berlin, Germany: Inst. Elect. Eng., May 1994, pp. 14/1-14/4.
5. (with B.R.Barmish and C.M.Lagoa) Probabilistic enhancement of robustness margins provided by linear matrix inequalities, Proc. 34th Allerton Conf. on Communication, Control and Computing, Monticello, Il, Oct. 2-4, 1996, pp. 160-169.
6. (with C.M.Lagoa and B.R.Barmish) Probabilistic enhancement of classical robustness margins: The unirectangularity concept, in: Proc. 36th CDC, San Diego, CA, 1997, pp. 4874-4879.
7. (with B.T.Polyak) Numerical solution of hard problems in control via perturbation theory, Intern. IFAC Conf. Nonsmooth and Discontinuous Problems of Control and Optimization, Chelyabinsk, Russia, June 17-20, 1998.
8. (with B.T.Polyak) Numerical search of stable or unstable member in matrix or polynomial families: Unified approach to robustness analysis and stabilization, in: Proc. of RIC'98 (Robustness in Identification and Control), University of Siena, Certosa di Pontignano, Italy, July 30 - Aug 2, 1998, pp. 21-23.
9. A sufficient criterion for robust stability of uncertain matrices, in: Proc. 3rd Eur. IEEE Workshop on Computer-Intensive Methods in Control and Data Processing (CMP'98), Prague, Sep. 7-9, 1998, pp. 155-160.
10. (with B.R.Barmish) Linear matrix inequalities with uncertain parameters: The approximate feasibility concept, in: Proc. Conf. Information Science and Systems, Baltimore, MD, March 1999.
11. Probabilistic robustness under parametric uncertainty, in: Proc. Intern. Conf. on Control, Moscow, June 29 - July 2, 1999, Vol. 1, pp 231-234.
12. (with B.T.Polyak) A new approach to robustness and stabilization of control systems via perturbation theory, in: Proc. 14th World Congress of IFAC, Beijing, July 5-9, 1999, Vol. C, pp. 13-18.
13. (with B.R.Barmish and C.M.Lagoa) Characterization of worst-case uncertainty geometry in the theory of probabilistic robustness, in: Proc. 14th World Congress of IFAC, Beijing, July 5-9, 1999, Vol. G, pp. 401-406.
14. (with B.R.Barmish) Distributionally robust least squares, in: Proc. 6th St. Petersburg Symposium on Adaptive Systems Theory, SPAS'99, St. Petersburg, Sep. 7-9, 1999, Vol. 1, pp. 5-8.
15. New problems in probabilistic robustness under parametric uncertainty, in: Selected Papers from Intern. Conf. on Control, Moscow, June 29 - July 2, 1999, Vol. 2, pp. 296-303.
16. (with B.Barmish) On avoiding vertexization of robustness problems: The approximate feasibility concept, in: Proc. 39th CDC, Sydney, Australia, 2000.
17. (with B.T.Polyak) Random spherical uncertainty in estimation and robustness, in: Proc. 39th CDC, Sydney, Australia, 2000, pp. 3339-3340.
18. (with B.T.Polyak, M.Sznaier, M.Halpern) Superstable control systems, in: Proc. 15th World Congress of IFAC, Barcelona, Spain, 2002, pp. 799-805.
19. (with B.R.Barmish) A dilation method for robustness problems with nonlinear parameter dependence, in: Proc. American Control Conf., Denver, Colorado, 2003, pp. 3834-3839.
20. A scaling integral method and conditioning of robustness problems, in: Proc. 2nd Int. Conf. Control Problems , Moscow, 2003.
21. (with B.R.Barmish) On the conditioning of robustness problems, in: Proc. 42nd CDC , Maui, Hawaii, 2003.
22. (with H.A.Babayigit, B.R.Barmish) On robust stability with nonlinear parameter dependence: Some benchmark problems illustrating the dilation integral method, sumbitted to Amrican Control Conf., Boston, MA, 2004.