List of Publications

The general list of publications includes more than 120 items, the following are the main:

Books and Monographs:

  1. B.M.Miller, Methods of Optimization the Impulse and Discrete-Continuous Systems I (deterministic systems), Central Institute of Information Investigation, Moscow, 1987, 87 p. (in Russian).

  2. B.M.Miller, Methods of Optimization the Impulse and Discrete-Continuous Systems II (stochastic systems), Central Institute of Information Investigation, Moscow, 1988, 65 p. (in Russian).

  3. B.M.Miller, A.P.Serebrovskii, The Handbook to the Solution the Problems on Probability Theory I,II. Moscow Institute of Device Design, 1990, 48p., 46p. (in Russian).

  4. Proceedings of the IFAC Workshop Singular Solutions and Perturbations in Control Systems, SSPCS'97 Pereslavl-Zalessky, Russia, 7-11 July 1997, Published for the IFAC by PERGAMON, Elsevier Science Ltd., Oxford., Eds.: V. Gurman, B. Miller, M. Dmitriev, 1997.

  5. Modern Problems in Control Theory and Applications (Singular Solutions and Perturbations in Control Systems). Special Issue, Automation and Remote Control, n. 7, 1997. Eds: V. Kolmanovskii and B. Miller

  6. B.M.Miller and A.R.Pankov, Theory of Stochastic Processes in Examples and Problems. Moscow Aviaton Institute, 2001, 300p. (in Russian)

  7. B.M.Miller and A.R.Pankov, Theory of Stochastic Processes. Moscow, Nayka, Fizmathlit, 2002, 316p. (htmlvisit book site)

  8. B.M.Miller and E.Ya. Rubinovich, Impulsive control in continuous and discrete-continuous systems (Foundations of the hybrid systems theory), 457p. Kluwer Academic/Plenum Publishers, 2002 (htmlvisit book site)

Selected Papers:

  1. Control in deterministic discrete-continuous and hybrid systems

    • Theory of generalized solutions in optimal impulse control problems:

      1. B.M.Miller, Nonlinear Impulsive-Control Problem, Automation and Remote Control, v. 37, N 6, 1976.

      2. B.M.Miller, Stability of Solution of Ordinary Differential Equation with a Measure, Usp. Mat. Nauk, v.23, N 2, 1978 (in Russian).

      3. B.M.Miller, Nonlinear Sampled-Data Control of Processes Described by Ordinary Differential Equation, I,II, Automation and Remote Control, v.39, N 1, N3, 1978.

      4. B.M.Miller, A.P.Serebrovskii, Optimal Control of a Linear System whose Quadratic Performance Criterion is Singular, Automation and Remote Control, v.40, N 3, 1979.

      5. B.M.Miller, Optimality Condition in the Control Problem for a System Described by a Measure Differential Equation. Automation and Remote Control, v.43, N 6, 1982.

      6. B.M.Miller, A Sufficient Condition of Optimality in Linear problem of Control of System Described by Differential equation with a Measure, Automation and Remote Control, v.45, N 9, 1984.

      7. B.M.Miller, Optimization of Dynamic Systems with a Generalized Control. Automation and Remote Control, v.50, N 6, 1989.

      8. B.M.Miller, Optimality Conditions in the Problems of Generalized Optimization, I (necessary conditions). Automation and Remote Control, v.53, N 3, 1992.

      9. B.M.Miller, Optimality Conditions in the the Problems of Generalized Optimization, II (sufficient conditions). Automation and Remote Control, v.53, N 4, 1992.

      10. B.M. Miller, Rubinovich E.Ya. Optimal Impulse Control Problem with Constrained Number of Impulses. Mathematics and Computers in Simulation. v.34, N 1, 1992.

      11. B.M.Miller, Method of the Discontinuous time Change in Problems of Control for Impulse and Discrete-Continuous Systems. Automation and Remote Control, v. 54, N 12, 1993. (pdfget file)

      12. B.M.Miller, Optimization of Nonlinear Dynamic Systems with Unbounded or Impulse Control, XIV IMACS World Congress, Atlanta, 1994. Proceedings, v. 2, p. 835-838.

      13. B.M.Miller, Representation of Generalized Solutions for Nonlinear Dynamic Systems with Impulse Control, 33-rd IEEE Conference on Decision and Control, Lake Buena Vista, Florida, USA, 1994. Proccedings, v.2, pp.1792-1793.

      14. B.M.Miller, Generalized Solutions of Nonlinear Optimization Problems with Impulse Controls. Part I. Existence of Solutions. Automation and Remote Control, v. 56, N 4, 1995.

      15. B.M.Miller, Generalized Solutions of Nonlinear Optimization Problems with Impulse Controls. Part II. Representation of Solutions by Differential Equations with measure. Automation and Remote Control, v. 56, N 5, 1995.

      16. B.M.Miller, The generalized solutions of nonlinear optimization problems with impulsive control, SIAM J. Control and Optimization, v. 34, N. 4, 1996, pp. 1420-1440. (psget file)

      17. B.M.Miller, The generalized solutions of ordinary differential equations in the impulse control problems, Journal of Mathematical Systems, Estimation, and Control, v. 6, N 4, 1996, pp. 415-435.

      18. B.M.Miller, Representation of robust and non-robust solutions of nonlinear discrete-continuous systems, in: Lecture Notes in Computer Science, v. 1201, Hybrid and Real-Time Systems. Ed. O.Maler. International Workshop, HART'97. Grenoble, France, March 1997. Proceedings. (psget file)

      19. B.M.Miller, Optimization of generalized solutions of nonlinear hybrid (discrete-continuous) systems. Hybrid systems: Computation and Control. Eds. T.A. Henzinger, S. Sastry. Lecture Notes in Computer Science, v. 1386, pp. 334-345, 1998. (psget file)

      20. B. Miller, Optimal control problems in discrete-continuous (hybrid) systems with phase constraints, International Journal of Hybrid Systems, v. 1, N 1, pp. 1-18, 2001 (pdfget file)

    • Generalized Solutions in Distributed Parameter Systems:

      1. J. Bentsman and B. M. Miller, Control Synthesis for Distributed Parameter Systems with Generalized Control Signals. Automation and Remote Control, v. 58, N 7, 1997, pp. 65-80. (pdfget file in Russian)

      2. B.M.Miller, Generalized solutions of differential equations with linear dependence on unbounded controls. Proceedings of IFAC Workshop on Singular Solutions and Perturbations in Control Systems (SSPCS'97) Pereslavl-Zalessky, Russia, July 7-11, 1997. Elsevier Sci. Ltd, 1997, pp. 43-48. (psget file)

      3. B.M.Miller and J. Bentsman, The representation of generalized solutions for distributed parameter systems with impulsive inputs. Proceedings of VX IMACS World Congress. Berlin, Germany, Aug 24-29, 1997, v.5, pp. 105-109. (psget file)

    • Mechanical Systems with Impacts and Unilateral Constraints:

      1. J. Bentsman and B.M.Miller, Control of dynamic systems with unilateral constraints and differential equations with measures. Proceedings of 4th IFAC Symposium, Nonlinear Control Systems Design, NOLCOS'98, Enschede, The Netherlands, v. 2, pp. 411-416, 1998. (psget file)

      2. B. Miller and J. Bentsman, Generalized solutions in dynamic systems with unilateral constraints. NOLCOS'01, 5th IFAC Symposium "Nonlinear Control Systems" Saint-Petersbourg, Russia, July 4-6, 2001, Preprints, pp. 625-628. (pdfget file)

      3. J. Bensman and B. Miller, Dynamical systems with controlled controlled singularities: Multi-scale and limit representation and optimal control. Proceedings of the 40-th IEEE Conference on Decision and Control, Orlando, Florida, USA, December 2001, pp. 3681-3686, 2001. (pdfget file)

      4. J. Bentsman and B. Miller, Mechanical systems with unilateral constraints: Controlled singularity approach. Proceedings of the 40-th IEEE Conference on Decision and Control, Orlando, Florida, USA, December 2001, pp. 3692-3697, 2001. (pdfget file)

      5. B. Miller and J. Bentsman, The singularity opening approach to control of mechanical systems with constraints. Preprints of 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Sevilla, April 3-5, 2003, pp. 293-298, 2003. (pdfget file)

  2. Stochastic discrete-continuous systems

    • Filtering and Observation Control:

      1. Butov A.A., Kuznetsov N.A., Liptser R.Sh., Miller B.M., Rubinovich E.Ya., Serebrovskii A.P., Yashin A.I. Generalized Observation Control in Problems of Stochastical Optimization, VIII IFAC Congress, August 24-28, 1981, Kyoto, Japan. Preprints. Control Science and Technology for the Progress of Society. 1981. v.6. p. 851-856.

      2. B.M.Miller, Optimal Control of Observations in the Filtering of Diffusion Processes. I,II, Automation and Remote Control, v.46, N 2, N 6, 1985.

      3. B.M.Miller Generalized Optimization in the Problems of Observation Control. Automation and Remote Control, v.52,N 10, 1991

      4. B.M.Miller, Observation Control for Discrete-Continous Stochastic Systems. XII IFAC World Congress, Sydney, 1993. Preprints, v. 1, p. 165-169.

      5. B.M. Miller, Observation Control for Discrete-Continuous Stochastic Systems, IEEE International Workshop on Information Theory, Moscow, 1994. Procedings, p. 66-70.

      6. B.M.Miller, E.Ya. Rubinovich, Regularization of a generalized Kalman filter. Mathematics and Computers in Simulation, v. 39, (1995), 87-108.

      7. B.M.Miller, K.V.Stepanyan, Observation control in tracking problem for moving object. Proceedings of the IFAC Workshop "Motion Control", October 9-11, 1995, Munich, Germany, pp.245-252.

      8. B.M.Miller, W.J. Runggaldier, Stochastic control for the optimization of observations. SIAM J. Control and Optimization, v. 35, No 3, 1997, pp. 1030-1052. (pdfget file)

      9. B.M. Miller and W.J. Runggaldier, Kalman filtering for linear systems with coefficients driven by a hidden Markov jump processes. Systems and Control Letters, v.31, 1997, pp. 93-102. (pdfget file)

      10. B.M.Miller, Observation control problems for discrete-continuous stochastic systems. Proceedings of VII International Conference on Artificial Inteligence and Infromation Control Systems of Robots, (AIICSR'97) Smolenice Castle, Slovakia, August 24-29, 1997. World Scientific. 1997, pp. 115-127.

      11. B.M.Miller and K.V.Stepanyan, Optimal linear filtering in systems with observation noise, dependent on sygnal and estimation. Automation and Remote Control, v. 59, N 11, 1998. (pdfget file In Russian)

      12. B.M.Miller, A.N.Gurdumov and A.V.Borisov, Suboptimal esimation in linear stocahastic systems driven by a hidden Markov jump process,. Proceedings of Intrenational Conference, RAREEVENTS'99. Riga, Latvia, Riga Aviation Institute, pp. 195-201, 1999.

      13. B.M.Miller, A.N.Gurdumov and A.V.Borisov, Suboptimal esimation for numbers of transitions a hidden Markov jump process,. Celected Papers of International conference on control problems. Moscow, 29 June - 2 July, 1999. V. 2, pp. 75-82, 1999. (psget file)

      14. B.M.Miller, Observation Control for Discrete-Continuous Stochastic Systems. IEEE Transactions on Automatic Control, v. 45, N 5, 2000. (psget file, Full version)

      15. B. Miller and K.V. Stepanyan, Discrete-continuous observation control for systems with state dependent noise. NOLCOS'01, 5th IFAC Symposium "Nonlinear Control Systems" Saint-Petersbourg, Russia, July 4-6, 2001, Preprints, pp. 1191-1196. (pdfget file)

    • Singular Stochastic Control Problems:

      1. B.M.Miller, The problem of impulse control for linear stochastic systems, XIII World Congress of IFAC, San Francisco, USA, June 30-July 5, 1996. Proceedings, v. H, pp. 403-407. (pdfget file)

      2. B.M.Miller and K.V.Stepanyan, Observation control problem for discrete-continuous systems as a singular control problem. Proceedings of IFAC Workshop on Singular Solutions and Perturbations in Control Systems (SSPCS'97) Pereslavl-Zalessky, Russia, July 7-11, 1997. Elsevier Sci.Ltd, 1997, pp.179-184. (psget file)

      3. F. Dufour and B. Miller, The relation between generalized and singular stochastic control problems. NOLCOS'01, 5th IFAC Symposium "Nonlinear Control Systems" Saint-Petersbourg, Russia, July 4-6, 2001, Preprints, pp. 1147-1153. (pdfget file)

      4. F. Dufour and B. Miller, Generalized solutions in nonlinear stochastic control problems, SIAM J. Control and Optimization, v. 40, 2002, pp. 1724-1745. (pdfget file)

  3. Applications

    1. B.M.Miller, M.N.Morskova, G.I.Phedchenko, Calculation the Image Motion in Panoramic Photography, Izv. Vuzov. Geodezy and Aerophotography. N 4, 1984 (in Russian).

    2. B.M.Miller, G.I.Phedchenko, Influence of Carrier Orientation on Image Motion at Photographic Processes in Moving Carrier, Izv. Vuzov. Geodezy and Aerophotography. N 5, 1984 ( in Russian).

    3. B.M.Miller, E.V.Tsukerman, U.V.Chernyavskii. Analysis the Correlation Signal Characteristics in Nonlinear Registration of the Spatial Golographic Filter. Journal of Technical Physics, v.55, N 7, 1985 (in Russian).

    4. V.L.Kistlerov, P.I.Kitsul, and B.M.Miller, Computer-aided Design of the Optical Devices Control Systems Based on the Language of Algebraic Computations FLAC, Mathematics and Computers in Simulation, v.33, 1991, p.303-307.

    5. D. Emel'yanov, E. Rubinovich and B. Miller, Advanced guidance law design based in the information-set concept. Proceedings of the 40-th IEEE Conference on Decision and Control, Orlando, Florida, USA, December 2001, pp. 652-657, 2001. (pdfget file)

  4. Preprints and submitted papers

    1. B. M. Miller and E.Ya. Rubinivich, Image motion compensation in the charge-coupled devices cameras on moving vehicle. (pdfget file)

    2. B. M. Miller and E.Ya. Rubinivich, Kalman filter for controlled hybrid systems, to be published in System & Control Letters. (pdfget file)

    3. D. Emel'yanov, E. Rubonovich and B. Miller, An information set-based guidance algorithm against a decelerating maneuvering target. Submitted to IEEE Trans. Aerospace and Electronic Systems. (pdfget file)

    4. J. Bentsman and B. Miller, Dynamical Systems with Controlled Singularities: Physically-Based Representation and Control-Oriented Modeling. Submitted to IEEE Trans. Automatic Control. (pdfget file)

    5. B. Miller, Comments on the paper of Yu. Orlov "Instantaneous Impulse Response of Nonlinear System" published in IEEE AC, n 5, 2000. (pdfget file Non published)

    6. B. Miller and K. Stepanyan, Observation Control for Discrete-Continuous (Hybrid) Stochastic Systems with the Estimate Dependent Noise, to appear in International Journal of Hybrid Systems. (pdfget file)