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Dr. Sc. (Mathematics) Boris Miller

Boris Miller Boris Miller joined the Centre for Modelling of Stochastic Systems in November, 2005. His reserarch interests are: filtering and estimation in discrete-continuous stochastic systems; control of the observation; design of the experiment; stochastic and deterministic discrete-continuous and hybrid systems; theory of nonlinear controls and optimisation; mathematical modeling; mechanical systems with impulsive controls and impacts; application of mathematical and computational methods to control problems in telecommunications, spacecraft based optical-electronic devices; modeling and optimisation of optical-electronic devices in robotics and manufacturing; image processing. He can be accessed by boris.miller@sci.monash.edu.au .................... or by phone: +61 3 9905 5870

 
 

List of recent publications

    The general list of Prof. B.M.Miller publications includes more than 120 items. The main of them are the following

    Monographs,Textbooks and Collection of Papers

    • [M.1] 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
    • [M.2] Special Issue of Automation and Remote Control: Modern Problems in Control Theory and Applications (Singular Solutions and Perturbations in Control Systems). Eds.: V.B. Kolmanovskii and B.M. Miller, Automation and Remote Control, n. 7, 1997.
    • [M.3] B.M.Miller and A.R.Pankov, Theory of Stochastic Processes in Examples and Problems Moscow Aviaton Institute, 2001, 300p. (in Russian) download.
    • [M.4] B.M.Miller and A.R.Pankov, Theory of Stochastic Processes Moscow, Nayka, Fizmathlit, 2003, 316p. (in Russian)download.
    • [M.5] B.M.Miller and E.Ya. Rubinovich Impulsive control in continuous and discrete-continuous systems (Foundations of the hybrid systems theory) Kluwer Academic/Plenum Publishers, 2003, 449 p. download.
    • [M.6] B.M.Miller and E.Ya. Rubinovich Optimization of dynamic systems with impulse controls Moscow, Nayka, Fizmathlit, 2005, 501p. (in Russian) download.

    Papers:

    Estimation, Filtering and Stochastic Control

    • [E.1] B.M.Miller and K.V.Stepanyan Optimal linear filtering in systems with observation noise, dependent on signal and estimation Automation and Remote Control, v. 59, N 11, 1998..download.
    • [E.2] B.M.Miller, A.N.Gurdumov and A.V.Borisov Suboptimal esimation in linear stochastic systems driven by a hidden Markov jump process Proceedings of Intrenational Conference, RAREEVENTS'99. Riga, Latvia, Riga Aviation Institute, pp. 195-201, 1999. .download.
    • [E.3] B.M.Miller Observation Control for Discrete-Continuous Stochastic Systems IEEE Transactions on Automatic Control, v. 45, N 5, 2000.download.
    • [E.4] B. Miller and E. Rubinovich Kalman filter for controlled hybrid systems Systems and Control Letters, v. 50, 2003, pp. 39-50.download.
    • [E.5] B. Miller and K. Stepanyan Observation Control for Discrete-Continuous (Hybrid) Stochastic Systems with the Estimate Dependent Noise International Journal of Hybrid Systems, v. 2, 2003, pp 337-368.download.
    • [E.6] F. Dufour and B. Miller Generalized solutions in nonlinear stochastic control problems SIAM J. Control and Optimization, v. 40, 2002, pp. 1724-1745.download.
    • [E.7] F. Dufour and B. Miller Singular stochastic control problems SIAM J. Control and Optimization, v. 43, 2005.download.
    • [E.8] B. Miller, K. Avrachenkov, K. Stepanyan, and G. Miller Flow control as stochastic optimal control problem with incomplete information Problems of information transmission, 2005.download.
    • [E.9] F. Dufour and B. Miller Stochastic maximum principle for singular control problems IFAC World Congress, Prague 2005.download.
    • [E.10] 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. download.
    • [E.11] 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.download.
    • [E.12] Dufour, F and Miller, B.M. Maximum principle for singular stachastic control problems. SIAM Journal of Control and Optimization, 48 (2006), 668-698. - download.
    • [E.13] Dufour, F. and Miller, B. Necessary conditions for optimal singular stochastic control problems. Stochastics: An International Journal of Probability and Stochastic Processes [Formerly known as Stochastics and Stochastics Reports], 79 (2007), 469-504. - download.

    Deterministic Control in Discrete-Continuous and Hybrid Systems

    • [D.1] 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.download.
    • [D.2] 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
    • [D.3] B.M.Miller and Joseph Bentsman A new approach to control of dynamic syatems with unilateral constraints Proceedings of 14th IFAC World Congress, Beijing, China, v. C, pp. 199-203, 1999
    • [D.4] 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. download.
    • [D.5] 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. download.
    • [D.6] 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.download.
    • [D.7] Miller, B.M. and Bentsman, J. Optimal control problems in hybrid systems with active singularities. Nonlinear Analysis, 65 (2006), 999-1017. - download.
    • [D.8] Bentsman, J. and Miller, B. Dynamical systems with active singularities of elastic type: A modelling and control synthesis framework. IEEE Transaction on Automation Control, 52 (2007), 1-18. - download.
    • [D.9] Miller, B.M. and Bentsman, J. Generalized solutions in systems with active unilateral constraints. Nonlinear Analysis: Hybrid Systems, (2007), to appear. - download.

    Applications

    • [A.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. download.
    • [A.2] 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.download.
    • [A.3] D. Emelyanov, 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.download.
    • [A.4] B. Miller and J. Bentsman The singularity opening approach to control of mechanical systems with constraints 2nd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNLC'03, April 3-5, 2003,Seville, SPAIN. Preprints, pp.293-298, 2003.download.
    • [A.5] B. Miller, K. Avrachenkov, K. Stepanyan, and G. Miller Flow control as stochastic optimal control problem with incomplete information INRIA Report N 5239, June 2004.download.
    • [A.6] J. Bentsman, B. M. Miller, and E. Rubinovich Modeling of Controlled Observation in a Singular Motion Phase in Dynamical System with Active Singularities IFAC World Congress, Prague 2005.download.
    • [A.7] Bentsman, J., Miller, B.M., Rubinovich, E.Ya. and Zheng, K. Hybrid dynamical systems with controlled discrete transitions. Nonlinear Analysis: Hybrid Systems (2007), to appear. download.