# Dr Igor Vladimirov

I received M.Sc. degree in Control Systems in 1989 and Ph.D. degree in Physics and Mathematics (with specialization in Mathematical Cybernetics) in 1992, from the Department of Control and Applied Mathematics of the Moscow Institute (State University) of Physics and Technology (MIPT), Russia. I was a Senior Research Associate at the State Research Institute of Aviation Systems in 1993–1997 and the Institute for Information Transmission Problems, the Russian Academy of Sciences, Moscow, in 1994–2007, working in the areas of applied Kalman filtering, stochastic robust control, hysteresis systems and spatial discretizations of dynamical systems. From 1997 to 2008, I held research academic positions of Research Officer, Research Fellow and Senior Research Fellow at the Mathematics Department and School of Engineering at the University of Queensland, Brisbane, Australia, working under support of the Australian Research Council in the above areas and also in stochastic modelling of econometric time series, lattice models of statistical mechanics and transport phenomena in random media. In 2000, I was a visiting research fellow at the School of Mathematical Sciences, Queen Mary University of London, working on p-adic analysis of Hamiltonian roundoff. From 2009 to 2016, I was a Senior Research Fellow at UNSW Canberra, doing research in the areas of quantum and stochastic control. In 2013, I was awarded B.N.Petrov prize of the Russian Academy of Sciences for my works on the anisotropy-based theory of stochastic robust filtering and control.

My research interests are concerned mainly with the mathematical systems theory, particularly with stochastic dynamics and applications to stochastic robust control and quantum stochastic control. I also published on probability theoretic aspects of spatial discretization effects in dynamical systems, statistical analysis of time series, statistical mechanical lattice models of interacting particle systems and multiscale transport phenomena.

- I.G.Vladimirov, I.R.Petersen, & M.R.James, Lie-algebraic connections between two classes of risk-sensitive performance criteria for linear quantum stochastic systems, SIAM Conference on Control and Its Applications (CT19), June 19-21, 2019, Chengdu, China, pp. 30-37.
- I.G.Vladimirov, I.R.Petersen, & M.R.James, Effects of parametric uncertainties in cascaded open quantum harmonic oscillators and robust generation of Gaussian invariant states, SIAM Journal on Control and Optimization, vol. 57, no. 3, 2019, pp. 1597-1628.
- I.G.Vladimirov, & I.R.Petersen, Dissipative linear stochastic Hamiltonian systems, 2018 Australian & New Zealand Control Conference (ANZCC) Swinburne University of Technology Melbourne, Australia, Dec 7-8, 2018, pp. 227-232.
- I.G.Vladimirov, & I.R.Petersen, Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems, 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong University of Science and Technology, Hong Kong, July 16-20, 2018, pp. 901-908.
- I.G.Vladimirov, I.R.Petersen, & M.R.James, Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty, 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), Hong Kong University of Science and Technology, Hong Kong, July 16-20, 2018, pp. 482-488.
- I.G.Vladimirov, I.R.Petersen, and M.R.James, Multi-point Gaussian states, quadratic–exponential cost functionals, and large deviations estimates for linear quantum stochastic systems, Appl. Math. Optim., 2018, pp. 1-55.
- Sichani (Khodaparastsichani), A, Vladimirov, I & Petersen, I 2017, 'A numerical approach to optimal coherent quantum LQG controller design using gradient descent', Automatica, vol. 85, pp. 314-326.
- Vladimirov, I 2017, 'A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems', Control Theory and Technology, vol. 15, no. 3, pp. 177-192.
- Vladimirov, I & Petersen, I 2016, 'Directly coupled observers for quantum harmonic oscillators with discounted mean square cost functionals and penalized back-action',
*2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016*, IEEE, pp. 78-83. - Vladimirov, I 2016, 'A Phase-space formulation of the Belavkin-Kushner-Stratonovich filtering equation for nonlinear quantum stochastic systems',
*IEEE Conference on Norbert Wiener in the 21st Century (21CW)*, IEEE, Piscataway, NJ, pp. 84-89. - Sichani (Khodaparastsichani), A, Petersen, I & Vladimirov, I 2015, 'Parameterization of stabilizing linear coherent quantum controllers',
*Asian Control Conference, ASCC 2015*, IEEE, 6 pp. - Sichani (Khodaparastsichani), A, Vladimirov, I & Petersen, I 2015, 'A gradient descent approach to optimal coherent quantum LQG controller design',
*2015 American Control Conference, ACC 2015*, IEEE, pp. 1487-1492. - Sichani (Khodaparastsichani), A, Vladimirov, I & Petersen, I 2015, 'Covariance dynamics and entanglement in translation invariant linear quantum stochastic networks',
*54th Conference on Decision and Control CDC 2015*, IEEE, Osaka, pp. 7107-7112. - Sichani (Khodaparastsichani), A, Vladimirov, I & Petersen, I 2015, 'Decentralized coherent quantum control design for translation invariant linear quantum stochastic networks with direct coupling',
*Australian Control Conference (AUCC 2015)*, Engineers Australia, pp. 312-317. - Vladimirov, I & Petersen, I 2015, 'State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete-time case', SIAM Journal on Control and Optimization, vol. 53, no. 3, pp. 1107-1153.
- Vladimirov, I 2015, 'A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems',
*IEEE Conference on Control and Applications, CCA 2015*, IEEE, pp. 1090-1095. - Vladimirov, I 2015, 'A transverse Hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control',
*IEEE Conference on Control and Applications, CCA 2015*, IEEE, pp. 29 -34. - Vladimirov, I 2015, 'Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem',
*Australian Control Conference (AUCC 2015)*, Engineers Australia, Australia, pp. 93-98. - Sichani (Khodaparastsichani), A, Vladimirov, I & Petersen, I 2014, 'Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form',
*4th Australian Control Conference, AUCC 2014*, Engineers Australia, pp. 83-88. - Vladimirov, I & Petersen, I 2014, 'Physical realizability and mean square performance of translation invariant networks of interacting linear quantum stochastic systems',
*21st International Symposium on Mathematical Theory of Networks and Systems*, MTNS, The Netherlands, pp. 1881-1888. - Vladimirov, I 2014, 'A quantum mechanical version of Price's theorem for Gaussian states',
*4th Australian Control Conference, AUCC 2014*, Engineers Australia, pp. 118-123. - Vladimirov, I & Petersen, I 2013, 'A quasi-separation principle and Newton-like scheme for coherent quantum LQG control', Systems and Control Letters, vol. 62, no. 7, pp. 550-559.
- Vladimirov, I & Petersen, I 2013, 'Coherent quantum filtering for physically realizable linear quantum plants',
*European Control Conference, ECC 2013*, IEEE, Zurich, pp. 2717-2723. - Vladimirov, I 2013, 'The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields', Discrete and Continuous Dynamical Systems - Series B, vol. 18, no. 2, pp. 575-600.
- Kallapur, A, Vladimirov, I & Petersen, I 2012, 'Robust filtering for continuous-time uncertain nonlinear systems with an integral quadratic constraint',
*American Control Conference ACC 2012*, Institute of Electrical and Electronics Engineers (IEEE Inc), Piscataway USA, pp. 4807-4812. - Vladimirov, I & Petersen, I 2012, 'Characterization and moment stability analysis of quasilinear quantum stochastic systems with quadratic coupling to external fields',
*IEEE Conference on Decision and Control (CDC 2012)*, Institute of Electrical and Electronics Engineers (IEEE Inc), Maui USA, pp. 1691-1696. - Vladimirov, I & Petersen, I 2012, 'Gaussian stochastic linearization for open quantum systems using quadratic approximation of Hamiltonians',
*International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012)*, Springer, Online, pp. 1-8. - Vladimirov, I & Petersen, I 2012, 'Risk-sensitive dissipativity of linear quantum stochastic systems under Lur'e type perturbations of Hamiltonians',
*Australian Control Conference (AUCC 2012)*, Institute of Electrical and Electronics Engineers (IEEE Inc), Barton ACT, pp. 247-252. - Kallapur, A, Vladimirov, I & Petersen, I 2011, 'Robust filtering for uncertain nonlinear systems satisfying a sum quadratic constraint',
*18th IFAC World Congress, 2011*, International Federation of Automatic Control (IFAC), Milano, pp. 1-7. - Maximov, E, Kurdyukov, A & Vladimirov, I 2011, 'Anisotropic norm bounded real lemma for linear discrete time varying systems',
*IFAC World Congress 2011*, International Federation of Automatic Control (IFAC), Milano, pp. 4701-4706. - Vladimirov, I & Petersen, I 2011, 'A dynamic programming approach to finite-horizon coherent quantum LQG control',
*Australian Control Conference (AUCC 2011)*, Engineers Australia, Australia, pp. 357-362. - Vladimirov, I & Petersen, I 2011, 'A quasi-separation principle and Newton-like scheme for coherent quantum LQG control',
*18th IFAC World Congress, 2011*, International Federation of Automatic Control (IFAC), Milano, pp. 4721-4727. - Vladimirov, I & Petersen, I 2010, 'Minimum relative entropy state transitions in discrete time systems with statistically uncertain noise',
*49th IEEE Conference on Decision and Control (CDC 2010)*, ed. M. W. Spong, Curran Associates, Inc., Red Hook, New York, United States, pp. 5314-5320. - Vladimirov, I.G., Petersen, I.R., Minimum relative entropy state transitions in linear stochastic systems: the continuous time case, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary, 5-9 July 2010), ELTE University, 2010, pp. 51–58.
- Vladimirov, I.G., Petersen, I.R., Hardy-Schatten norms of systems, output energy cumulants and linear quadro-quartic Gaussian control, Proc. 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary, 5-9 July 2010), ELTE University, 2010, pp. 2383–2390.
- Vladimirov, I.G., & Klimenko, A.Y., Tracing diffusion in porous media with fractal properties, SIAM: Multiscale Modeling and Simulation, vol. 8, no. 4, 2010, pp. 1178–1211.
- Saulov, D.N., Vladimirov, I.G., & Klimenko, A.Y., Modified associate formalism without entropy paradox: Part I: Model description, Journal of Alloys and Compounds, vol. 473, no. 1-2, 2009, pp. 167–175.
- Kurdyukov, A.P., Vladimirov, I.G. Propagation of mean anisotropy of signals in filter connections, Proc. 17th IFAC World Congress (Seoul, South Korea, 6-11 July 2008), IFAC, 2008, pp. 6313–6318.
- Kurdyukov, A.P., Vladimirov, I.G., Feedback, correlations, and propagation of mean anisotropy of signals in filter connections, Proc. 3rd Internat. Conf. “Physics and Control” (PhysCon 2007), Potsdam, Germany, Sep 3-7, ID 87, 2007, pp. 1–5.
- Vladimirov, I., & Jak, E., Edge-to-site reduction of Bethe-Peierls approximation for nearest neighbour exclusion cubic lattice particle systems and thermodynamic modeling of liquid silicates, J. Chem. Phys., vol. 126, no. 16, 2007, pp. 164502/10.
- Vladimirov, I., Diamond, P., & Kloeden, P., Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems, Automat. Remote Control, vol. 67, no. 8, 2006, pp. 1265–1282.
- Vladimirov, I., & Thompson, H.B., A scalarization technique for computing the power and exponential moments of Gaussian random matrices, J. Appl. Math. Stochastic Anal., ID 42542, 2006, pp. 1–20.
- Vladimirov, I., Thompson, B., Bayesian forecasting in univariate autoregressive models with normal-gamma prior distribution of unknown parameters, Proc. Conf. Differential & Difference Eqns. Appl., Florida Inst. Technology, Melbourne, FL, USA, Aug 1-5, 2005, Eds. R.P.Agarwal, and K.Perera, Hindawi, 2005, pp. 1099–1108.
- Thompson, H.B., & Vladimirov, I., Bayesian parameter estimation and prediction in mean reverting stochastic diffusion models, Nonlinear Anal., vol. 63, 2005, pp. e2367–e2375.
- Diamond, P., Kloeden, P., & Vladimirov, I., Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices, J. Appl. Math. Stochastic Anal., vol. 16, no. 3, 2003, pp. 209–231.
- Vivaldi, F., & Vladimirov, I., Pseudo-randomness from round-off errors in discretised linear maps on the plane, Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 13, no. 11, 2003, pp. 3373–3393.
- Diamond, P., & Vladimirov, I., Branching processes and computational collapse of discretized unimodal mappings, Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 12, no. 12, 2002, pp. 2847–2867.
- Vladimirov, I., & Diamond, P., Rigorous justification of a uniform white-noise model for fixedpoint roundoff errors in digital systems, Automat. Remote Control, vol. 63, no. 5, 2002, pp. 753–765.
- Diamond, P., & Vladimirov, I., Set-valued Markov chains and negative semitrajectories of discretized dynamical systems, J. Nonlinear Sci., vol. 12, 2002, pp. 113–141.
- Diamond, P., & Vladimirov, I., Higher order terms of asymptotic expansion for information loss in quantized random processes, Circuits Systems Signal Process., vol. 20, no. 6, 2001, pp. 677–693.
- Diamond, P., Vladimirov, I., Kurdjukov, A., and Semyonov, A., Anisotropy-based performance analysis of linear discrete-time-invariant control systems, Internat. J. Control, vol. 74, no. 1, 2001, pp. 28–42.
- Vladimirov, I., Kuznetsov, N., & Diamond, P., Frequency measurability, algebras of quasiperiodic sets and spatial discretizations of smooth dynamical systems, Math. Comput. Simulation, vol. 52, no. 3-4, 2000, pp. 251–272.
- Vladimirov, I., Asymptotics of the loss of information in quantized random processes, Doklady Mathematics, vol. 368, no. 6, 1999, pp. 745–748.
- Vladimirov, I.G., Kurdjukov, A.P, & Semyonov, A.V., Asymptotics of the anisotropic norm of linear time-invariant systems, Automat. Remote Control, vol. 60, no. 3, part 1, 1999, pp. 359–366.
- Vladimirov, I.G. Generalized optimal lattice covering of finite-dimensional Euclidean space, Lin. Alg. Appl., vol. 282, no. 1-3, 1998, pp. 311–324.
- Diamond, P., & Vladimirov, I., Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg., vol. 8, no. 7, 1998, pp. 1479–1490.
- Vladimirov, I.G., On strong solutions of the Moreau process, Doklady Mathematics, vol. 55, no. 2, 1997, pp. 167–169.
- Kozyakin, V., Kuznetsov, N., Pokrovskii, A., & Vladimirov, I., Some problems in analysis of discretizations of continuous dynamical systems, Proc. 2nd World Congress of Nonlinear Analysts, Part 2 (Athens, 1996), Nonlinear Anal., Theory, Methods & Appl., vol. 30, no. 2, 1997, pp. 767–778.
- Vladimirov, I.G., Quantized linear systems on integer lattices: frequency-based approach, Parts I, II, Centre for Applied Dynamical Systems and Environmental Modeling, Deakin University, CADSEM Reports 96–032, 96–033, Geelong, Victoria, Australia, 1996, arXiv:1501.04237 [math.PR].
- Vladimirov, I.G., Kurdjukov, A.P., & Semyonov, A.V., State-space solution to anisotropy-based stochastic H-infinity-optimization problem, Proc. 13th IFAC World Congress, San Francisco, California, USA, 30 June 30 - 5 July 1996, vol. H, pp. 427–432.
- Vladimirov, I.G., Kurdjukov, A.P., & Semyonov, A.V., On computing the anisotropic norm of linear discrete-time-invariant systems, Proc. 13th IFAC World Congress, San-Francisco, California, USA, June 30 - 5 July 1996, vol. G, pp. 179–184.
- Vladimirov, I.G., & Chernorutskii, V.V., On auto-oscillations in systems with a backlash, Automat. Remote Control, vol. 56, no. 11, part 1, 1995, pp. 1538–1544.
- Vladimirov, I.G., Kurdyukov, A.P., & Semyonov, A.V., Anisotropy of signals and entropy of linear time-invariant systems, Doklady Mathematics, vol. 342, no. 5, 1995, pp. 583-585 (Russian) (English translation in vol. 51, no. 3, pp. 388–390).
- Vladimirov, I.G., Kurdyukov, A.P., and Semyonov, A.V., The stochastic problem of H-infinity-optimization, Dokl. Akad. Nauk, vol. 343, no. 5, 1995, pp. 607–609 (Russian) (English translation in vol. 52, no. 1, pp. 155–157).
- Semyonov, A.V., Vladimirov, I.G., & Kurdjukov, A.P., Stochastic approach to H-infinity-optimization, Proc. 33rd Conf. Decision & Control, Florida, USA, 14-16 December 1994, vol. 3, pp. 2249–2250.
- Vladimirov, I.G., The least squares method using exhaustive search, Internat. J. Comput. Systems Sci., vol. 31, no. 5, 1993, pp. 120–134.
- Vladimirov, I.G., Analysis and optimization of parameter estimation algorithms for nonlinear regression models under partial statistical uncertainty, PhD Thesis, MIPT, Moscow, 1992, 178 pp.
- Boguslavskii, I.A., & Vladimirov, I.G., Adaptive estimation of shift vectors, Soviet J. Comput. Systems Sci., vol. 29, no. 2, 1991, pp. 103–116.