robust control,
stochastic systems,
entropy variational problems,
spatial discretizations,
dynamical systems,
lattice models of statistical mechanics,
transport in random media,
quantum mechanical systems,
quantum stochastic filtering and control
Development of the anisotropy-based theory of stochastic robust control, including the homotopy method for anisotropic controller design.
Study of forced oscillations in multivariable hysteresis systems, including the rate of convergence to limit periodic regimes.
Development of the method of frequency measurable quasiperiodic sets for probability theoretic study of spatially discretized dynamical systems.
Multivariate statistical methods for computing the moments of random matrices with application to Bayesian parameter estimation and prediction in diffusion and autoregressive processes.
Approximate computational methods for thermodynamic functions in lattice models of statistical mechanics of interacting particle systems and asymptotic methods for transport phenomena in random media.
Entropy variational problems and dissipation relationships for open stochastic systems under coloured noise of interaction with the environment.
Control/filtering problems for open quantum mechanical systems governed by quantum stochastic differential equations.
Biography
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. From 2017, I am a Senior Research Fellow at the Australian National University, working in quantum, stochastic and robust control. I was awarded B.N.Petrov prize of the Russian Academy of Sciences in 2013 for founding works on the anisotropy-based theory of stochastic robust filtering and control, and the 2024 European Control Conference Best Paper Award (Stockholm, Sweden) for a work on quantum memory decoherence.
Main publications:
I.G. Vladimirov, and I.R. Petersen, “State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete-time case”, SIAM Journal on Control and Optimization, 53:3 (2015), 1107–1153
I.G. Vladimirov, “The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields”, Discrete and Continuous Dynamical Systems Series B, 18:2 (2013), 575–600
I.G. Vladimirov, and A.Y. Klimenko, “Tracing diffusion in porous media with fractal properties”, SIAM: Multiscale Modeling and Simulation, 8:4 (2010), 1178–1211
I.G. Vladimirov, P. Diamond, and P. Kloeden, “Anisotropy-based robust performance analysis
of finite horizon linear discrete time varying systems”, Automation and Remote Control, 67:8 (2006), 1265–1282
I.G. Vladimirov, N.A. Kuznetsov, and P. Diamond, “Frequency measurability, algebras of quasiperiodic sets and spatial
discretizations of smooth dynamical systems”, Mathematics and Computers in Simulation, 52 (2000), 251–272
K. Shi, I. R. Petersen, I. G. Vladimirov, “Necessary and sufficient conditions for state feedback equivalence to negative Imaginary systems”, IEEE Transactions on Automatic Control, 69:7 (2024), 4657–4672https://ieeexplore.ieee.org/abstract/document/10399792
I. G. Vladimirov, I. R. Petersen, “Decoherence time in quantum harmonic oscillators as quantum memory systems”, 2024 Australian & New Zealand Control Conference (ANZCC) (Gold Coast, Australia, 1-2 February 2024), IEEE, 2024, 211–216https://ieeexplore.ieee.org/abstract/document/10432850
I. G. Vladimirov, “A transverse Hamiltonian approach to infinitesimal perturbation analysis of quantum stochastic systems”, Entropy, 25:8, Special Issue “Quantum Probability and Randomness IV” (2023), 1179 (24 pages)https://www.mdpi.com/1099-4300/25/8/1179
6.
K. Shi, I. R. Petersen, I.G. Vladimirov, “Negative imaginary state feedback equivalence for a class of nonlinear systems”, IFAC-PapersOnLine, 12th IFAC Symposium on Nonlinear Control Systems NOLCOS (Canberra, Australia, January 4-6, 2023), 56(1), IFAC, 2023, 288–293https://www.sciencedirect.com/science/article/pii/S2405896323002379
I. G. Vladimirov, I. R. Petersen, Quadratic-exponential coherent feedback control of linear quantum stochastic systems, 2023 (Published online) , 29 pp., arXiv: arXiv:2308.03918
10.
I. G. Vladimirov, Entropy bounds for invariant measure perturbations in stochastic systems with uncertain noise, 2023 (Published online) , 14 pp., arXiv: arXiv:2305.12936
11.
I. G. Vladimirov, Position-momentum conditioning, relative entropy decomposition and convergence to equilibrium in stochastic Hamiltonian systems, 2023 (Published online) , 34 pp., arXiv: arXiv:2312.09475
I. G. Vladimirov, I. R. Petersen, “Moment dynamics and observer design for a class of quasilinear quantum stochastic systems”, SIAM Journal on Control and Optimization (SICON), 60:3 (2022), 1223–1249 , arXiv: arXiv:2012.08212
I. G. Vladimirov, I. R. Petersen, “Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 25:4 (2022), 2240007 (2022) , arXiv: arXiv:2202.02261
16.
I. G. Vladimirov, I. R. Petersen, “State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems”, Journal of the Franklin Institute, 2022, 1–35 , arXiv: arXiv:2201.10492
I. G. Vladimirov, I. R. Petersen, “Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action”, Mathematics of Control, Signals, and Systems, 34 (2022), 607–646 , arXiv: arXiv:1809.00389
K. Shi, I. R. Petersen, and I. G. Vladimirov, “Output feedback consensus for networked heterogeneous nonlinear negative-imaginary systems with free body motion”, IEEE Transactions on Automatic Control, 2022, 1–8https://ieeexplore.ieee.org/document/9947214
19.
I. G. Vladimirov, I. R. Petersen, Measuring decoherence by commutation relations decay for quasilinear quantum stochastic systems, 2022 (Published online) , 41 pp., arXiv: arXiv:2210.06757
20.
K. Shi, I. R. Petersen, and I. G. Vladimirov, “Nonlinear Systems Negative Imaginary via State Feedback”, Proc. 2022 IEEE 61st Conference on Decision and Control (CDC), (Cancun, Mexico, 6-9 December 2022), IEEE, 2022, 3827–3832
I. G. Vladimirov, I. R. Petersen, “A homotopy approach to coherent quantum LQG control synthesis using discounted performance criteria”, IFAC PapersOnLine (24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020 Cambridge, United Kingdom), 54-9, IFAC, 2021, 166–171https://www.sciencedirect.com/science/article/pii/S2405896321005280
K. Shi, I. G. Vladimirov, I. R. Petersen, “Robust output feedback consensus for networked identical nonlinear negative-imaginary systems”, IFAC PapersOnLine (24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020 Cambridge, United Kingdom), 54-9, IFAC, 2021, 239–244https://www.sciencedirect.com/science/article/pii/S2405896321005395
I. G. Vladimirov, I. R. Petersen, M. R. James, “A Girsanov Type Representation of Quadratic-Exponential Cost Functionals for Linear Quantum Stochastic Systems”, 2020 European Control Conference (ECC) (Saint-Petersburg, Russia, 12-15 May 2020), IEEE, 2020, 806–811https://ieeexplore.ieee.org/document/9143665
I. G. Vladimirov, I. R. Petersen, “Convergence to Periodic Regimes in Nonlinear Feedback Systems with a Strongly Convex Backlash”, 2020 European Control Conference (ECC) (Saint-Petersburg, Russia, 12-15 May 2020), IEEE, 2020, 71–76https://ieeexplore.ieee.org/document/9143648
26.
I. G. Vladimirov, I. R. Petersen, “Mean square optimal control by interconnection for linear stochastic Hamiltonian systems”, 2020 Australian and New Zealand Control Conference (ANZCC) (Gold Coast, QLD, Australia, 26-27 November 2020), IEEE, 2020, 24–29https://ieeexplore.ieee.org/abstract/document/9318348
27.
I. G. Vladimirov, I. R. Petersen, M. R. James, “Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems”, IFACPapersOnline (IFAC World Congress, Berlin, Germany, 11-17 July 2020), 53-2, IFAC, 2020, 293–298https://www.sciencedirect.com/science/article/pii/S2405896320303943?via
I. G. Vladimirov, M. R. James, I. R. Petersen, “Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria”, IFAC PapersOnLinea (IFAC World Congress, Berlin, Germany, 11-17 July 2020), 53-2, IFAC, 2020, 304–309https://www.sciencedirect.com/science/article/pii/S2405896320303967?via
K. Shi, I. G. Vladimirov, I. R. Petersen, “Robust output feedback consensus for networked heterogeneous nonlinear negative-imaginary systems”, 2020 Australian and New Zealand Control Conference (ANZCC) (Gold Coast, QLD, Australia, 26-27 November 2020), IEEE, 2020, 214–219https://ieeexplore.ieee.org/document/9318395
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, 57, https://epubs.siam.org/doi/abs/10.1137/17M1135050:3 (2019), 1597–1628https://epubs.siam.org/doi/abs/10.1137/17M1135050, arXiv: arXiv:1706.04358
I. G. Vladimirov, I. R. Petersen, M. R. James, “Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22:3 (2019), 1950020 , 28 pp. https://www.worldscientific.com/doi/10.1142/S0219025719500206, arXiv: arXiv:1809.06842
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”, Proceedings of the 2019 SIAM Conference on Control and its Applications (Chengdu, China, 19-21 June 2019), SIAM, 2019, 30–37https://epubs.siam.org/doi/abs/10.1137/1.9781611975758.6
I. G. Vladimirov, I. R. Petersen, M. R. James, “A Quantum Karhunen-Loeve Expansion and Quadratic-Exponential Functionals for Linear Quantum Stochastic Systems”, 2019 IEEE 58th Conference on Decision and Control (CDC) (Nice, France, 11-13 December 2019), IEEE, 2019, 425–430 10.1109/CDC40024.2019.9029437
I. G. Vladimirov, M. R. James, I. R. Petersen, “A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel”, 2019 Australian & New Zealand Control Conference (ANZCC) (Auckland, New Zealand, 27-29 November 2019), IEEE, 2019, 179–184https://ieeexplore.ieee.org/document/8945608
I. G. Vladimirov, Anisotropy-based robust performance criteria for statistically uncertain linear continuous time invariant stochastic systems, 2019 (Published online) , 20 pp., arXiv:1903.01692 [math.OC], 5 March 2019, arXiv: 1903.01692
2018
36.
I. G. Vladimirov, I. R. Petersen, M. R. James, “Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems”, Applied Mathematics & Optimization, 2018, 1–55https://link.springer.com/article/10.1007, arXiv: arXiv:1707.09302
I. G. Vladimirov, I. R. Petersen, “Spatio-temporal transfer function conditions of positive realness for translation invariant lattice networks of interacting linear systems”, Proceedings of 23rd International Symposium on Mathematical Theory of Networks and Systems (Hong Kong University of Science and Technology, Hong Kong, July 16-20, 2018), 2018, 901–908http://mtns2018.ust.hk/
38.
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”, Proceedings of 23rd International Symposium on Mathematical Theory of Networks and Systems (Hong Kong University of Science and Technology, Hong Kong, July 16-20, 2018), 2018, 482–488http://mtns2018.ust.hk/
I. G. Vladimirov, “A phase-space formulation and Gaussian approximation of the filtering equations for nonlinear quantum stochastic systems”, Control Theory and Technology, 15:3 (2017), 177–192https://link.springer.com/article/10.1007/s11768-017-7012-2
I. G. Vladimirov, I. R. Petersen, M. R. James, Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators, 2017 (Published online) , 30 pp., arXiv: arXiv:1711.03503
2016
42.
I.G. Vladimirov, and I.R. Petersen, “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) (University of Melbourne, Australia, July 13-16, 2016), IEEE, 2016, 78–83https://controls.papercept.net/conferences/conferences/CNW16/program/CNW16_ContentListWeb_2.html
I.G. Vladimirov, Face-to-diagonal reduction of Kramers-Wannier approximation for cubic lattice particle systems with nearest neighbour exclusion, 2016 (Published online) , 16 pp., arXiv: arXiv:1609.05558
2015
45.
I. G. Vladimirov, I. R. Petersen, “State distributions and minimum relative entropy noise sequences in uncertain stochastic systems: the discrete-time case”, SIAM Journal on Control and Optimization, 53:3 (2015), 1107–1153http://epubs.siam.org/doi/abs/10.1137/090765614
I. G. Vladimirov, “A transverse Hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control”, Proceedings of 2015 IEEE Multi-Conference on Systems and Control (September 21-23, 2015. Sydney, Australia), IEEE, 2015, 29–34 , arXiv: http://arxiv.org/abs/1506.04737
I. G. Vladimirov, “A stochastic density matrix approach to approximation of probability distributions and its application to nonlinear systems”, Proceedings of 2015 IEEE Multi-Conference on Systems and Control (September 21-23, 2015. Sydney, Australia), IEEE, 2015, 1090–1095http://arxiv.org/abs/1506.04775
I. G. Vladimirov, “Weyl variations and local sufficiency of linear observers in the mean square optimal coherent quantum filtering problem”, Proceedings of 2015 5th Australian Control Conference (November 5-6, 2015. Gold Coast, Australia), IEEE, 2015, 93–98http://arxiv.org/abs/1506.07653
49.
A. Kh. Sichani, I. G. Vladimirov, I. R. Petersen, “A gradient descent approach to optimal coherent quantum LQG controller design”, Proceedings of 2015 American Control Conference (July 1-3, 2015. Chicago, IL, USA), IEEE, 2015, 1487–1492http://arxiv.org/abs/1502.00274
A. Kh. Sichani, I. G. Vladimirov, I. R. Petersen, “Decentralized coherent quantum control design for translation invariant linear quantum stochastic networks with direct coupling”, Proceedings of 2015 5th Australian Control Conference (November 5-6, 2015. Gold Coast, Australia), Engineers Australia, 2015, 312–317http://arxiv.org/abs/1509.02228
51.
A. Kh. Sichani, I. R. Petersen, I. G. Vladimirov, “Parameterization of stabilizing linear coherent quantum controllers”, Proceedings of 2015 10th Asian Control Conference (May 31 2015-June 3 2015. Kota Kinabalu, Malaysia), IEEE, 2015, 1–6http://arxiv.org/abs/1503.02118
A. Kh. Sichani, I. G. Vladimirov, I. R. Petersen, “Covariance dynamics and entanglement in translation invariant linear quantum stochastic networks”, Proc. 2015 IEEE 54th Conference on Decision and Control (Osaka, Japan, 15-18 December 2015), IEEE, 2015, 7107–7112http://arxiv.org/abs/1505.02286
I. G. Vladimirov, Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators, 2015 (Published online) , 26 pp., arXiv: 1512.08751
2014
54.
I.G. Vladimirov, I.R. Petersen, “Physical Realizability and Mean Square Performance of Translation Invariant Networks of Interacting Linear Quantum Stochastic Systems”, Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (July 7-11, 2014. Groningen, The Netherlands), ISBN: 978-90-367-6321-9, MTNS, 2014, 1881–1888https://controls.papercept.net/conferences/conferences/MTNS14/program/MTNS14_ContentListWeb_5.html#frb09_01
I.G. Vladimirov, I.R. Petersen, “Coherent Quantum Filtering for Physically Realizable Linear Quantum Plants”, Proceedings of the European Control Conference 2013 (Zurich, Switzerland, 17-19 July 2013), IEEE, 2013, 2717–2723http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6669506&url=http
A.G. Kallapur, I.G. Vladimirov, I.R. Petersen, “Robust Filtering for Continuous-Time Uncertain Nonlinear Systems with an Integral Quadratic Constraint”, Proceedings of the American Control Conference 2012 (Montreal, Canada, 27-29 June 2012), IEEE, 2012, 4807–4812http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6314612&tag=1
E.A.Maximov, A.P.Kurdyukov, I.G. Vladimirov, “Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems”, Proceedings of the 18th IFAC World Congress (Milan, Italy, 28 August - 2 September 2011), IFAC, 2011, 4701–4706http://www.ifac-papersonline.net/Detailed/49025.html
66.
A.G. Kallapur, I.G. Vladimirov, I.R. Petersen, “Robust Filtering for Uncertain Nonlinear Systems Satisfying a Sum Quadratic Constraint”, Proceedings of the 18th IFAC World Congress (Milan, Italy, 28 August - 2 September 2011), IFAC, 2011, 1–7http://www.ifac-papersonline.net/Detailed/47477.html
67.
I.G. Vladimirov, I.R. Petersen, “A Dynamic Programming Approach to Finite-horizon Coherent Quantum LQG Control”, Proceedings of the Australian Control Conference (Melbourne, Victoria, 10-11 November 2011), IEEE, 2011, 357–362http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6114318&url=http
68.
I.G. Vladimirov, I.R. Petersen, “A quasi-separation principle and Newton-like scheme for coherent quantum LQG control”, Proceedings of the 18th IFAC World Congress (Milan, Italy, 28 August - 2 September 2011), IFAC, 2011, 4721–4727http://www.ifac-papersonline.net/Detailed/49031.html
2010
69.
I. G. Vladimirov, A. Y. Klimenko, “Tracing diffusion in porous media with fractal properties”, SIAM: Multiscale Modeling and Simulation, 8:4 (2010), 1178–1211http://epubs.siam.org/doi/abs/10.1137/090760234
I.G. Vladimirov, I.R. Petersen, “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, 51–58http://www.conferences.hu/mtns2010/
71.
I.G. Vladimirov, I.R. Petersen, “Hardy-Schatten Norms of Systems, Output Energy Cumulants and Linear Quadro-Quartic Gaussian Control”, Proceedings of 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary, 5-9 July 2010), ELTE University, 2010, 2383–2390http://www.conferences.hu/mtns2010/
72.
I. G. Vladimirov, I. R. Petersen, “Minimum relative entropy state transitions in discrete time systems with statistically uncertain noise”, Proceedings of 2010 49th IEEE Conference on Decision and Control (15-17 December 2010. Atlanta, GA, USA), IEEE, 2010, 5314–5320
A.P. Kurdyukov, I.G. Vladimirov, “Propagation of Mean Anisotropy of Signals in Filter Connections”, Proceedings of the 17th IFAC World Congress (Seoul, South Korea, 6-11 July 2008), IFAC, 2008, 6313–6318http://www.ifac-papersonline.net/Detailed/36775.html
I. G. Vladimirov, Ph. Diamond, P. E. Kloeden, “Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems”, Autom. Remote Control, 67:8 (2006), 1265–1282
77.
I. G. Vladimirov, B. Thompson, “A scalarization technique for computing the power and exponential moments of Gaussian random matrices”, Journal of Applied Mathematics and Stochastic Analysis, 2006 (2006), 42542 , 20 pp.
I.G. Vladimirov, D.M. Donovan, H.B. Thompson, “Gibbs equilibrium in interacting particle systems with coordination constrained bonding on Bethe lattices”, Proceedings of the 17th Australasian Workshop on Combinatorial Algorithms (Uluru & Kings Canyon, Central Australia, 13-19 July 2006), 17, Ballarat University, 2006, 110–122http://espace.library.uq.edu.au/view/UQ:104793
2005
80.
B. Thompson, I. G. Vladimirov, “Bayesian parameter estimation and prediction in mean reverting stochastic diffusion models”, Nonlinear Analysis Theory Methods and Applications, 63:5-7 (2005), e2367–e2375
P. Diamond, P. Kloeden, I. Vladimirov, “Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattice”, Journal of Applied Mathematics and Stochastic Analysis, 16:3 (2003), 209–231
F. Vivaldi, I. Vladimirov, “Pseudo-randomness of round-off errors in discretized linear maps on the plane”, International Journal of Bifurcation and Chaos, 13:11 (2003), 3373–3393
I. G. Vladimirov, Ph. Diamond, “A Uniform White-Noise Model for Fixed-Point Roundoff Errors in Digital Systems”, Autom. Remote Control, 63:5 (2002), 753–765
84.
P. Diamond, I. Vladimirov, “Set-valued Markov chains and negative semitrajectories of discretized dynamical systems”, Journal of Nonlinear Science, 12:2 (2002), 113–141
P. Diamond, I. Vladimirov, “Branching processes and computational collapse of discretized unimodal mappings”, International Journal of Bifurcation and Chaos, 12:12 (2002), 2847–2867
P. Diamond, I. Vladimirov, “Higher-order terms in asymptotic expansion for information loss in quantized random processes”, Circuits, Systems and Signal Processing, 20:6 (2001), 677–693
P. Diamond, I. Vladimirov, A. Kurdyukov, A. Semyonov, “Anisotropy-based performance analysis of linear discrete time invariant control systems”, International Journal of Control, 74:1 (2001), 28–42
I. Vladimirov, N. Kuznetsov, P. Diamond, “Frequency measurability, algebras of quasiperiodic sets and spatial discretizations of smooth dynamical systems”, Mathematics and Computers in Simulation, 52:3-4 (2000), 251–272
I. G. Vladimirov, A. P. Kurdukov, A. V. Semenov, “Asymptotics of the anisotropic norm of linear time-independent systems”, Autom. Remote Control, 60:3 (1999), 359–366
90.
I. G. Vladimirov, “Asimptotika poteri informatsii pri diskretizatsii sluchainykh protsessov”, Doklady Akademii Nauk, 368:6 (1999), 745–748 , (predstavlena akademikom N.A.Kuznetsovym 1998 g.)
1998
91.
P. Diamond, I. Vladimirov, “Asymptotic independence and uniform distribution of quantization errors for spatially discretized dynamical systems”, International Journal of Bifurcation and Chaos, 8:7 (1998), 1479–1490
I. Vladimirov, P. Diamond, D. Bryant, “Generalized optimal lattice covering of finite-dimensional Euclidean space”, Linear Algebra and Its Applications, 282:1-3 (1998), 311–324
1997
93.
I. G. Vladimirov, “O silnykh resheniyakh protsessa Moro”, Doklady Akademii Nauk, 353:1 (1997), 7–9 , (predstavlena akademikom S.M.Nikolskim 22.12.94 g.)
94.
V. Kozyakin, N. Kuznetsov, A. Pokrovskii, I. Vladimirov, “Some problems in analysis of discretizations of continuous dynamical systems”, Nonlinear Analysis Theory Methods and Applications, 30:2 (1997), 767–778
I.G. Vladimirov, A.P. Kurdyukov, A.V. Semyonov, “State-space solution to anisotropy-based stochastic H-infinity optimization problem”, Proceedings of the 13th IFAC World Congress (San Francisco, California USA, July 1996), IFAC, 1996, 427–432
I.G. Vladimirov, A.P. Kurdyukov, A.V. Semyonov, “On computing the anisotropic norm of linear discrete-time-invariant systems”, Proceedings of the 13th IFAC World Congress (San Francisco, California USA, July 1996), IFAC, 1996, 179–184
I.G. Vladimirov, Quantized linear systems on integer lattices: frequency-based approach. Parts I, II., CADSEM Reports 96-032, 96-033, October 1996, Centre for Applied Dynamical Systems and Environmental Modelling, Deakin University, Geelong, Victoria, Australia, 1996 , 89 pp. http://trove.nla.gov.au/work/22786291?selectedversion=NBD13144831
1995
98.
I. G. Vladimirov, V. V. Chernorutski, “Free oscillations in systems with play”, Autom. Remote Control, 56:11 (1995), 1538–1544
99.
I. G. Vladimirov, A. P. Kurdyukov, A. V. Semyonov, “Anisotropy of signals and entropy of linear stationary systems”, Doklady Mathematics, 51:3 (1995), 388–390
100.
I. G. Vladimirov, A. P. Kurdyukov, A. V. Semyonov, “A stochastic problem of $H_{\infty}$-optimization”, Doklady Mathematics, 52:1 (1995), 155–157
1994
101.
A.V. Semyonov, I.G. Vladimirov, A.P. Kurdyukov, “Stochastic approach to H-infinity optimization”, Proceedings of the 33rd IEEE Conference on Decision and Control (Lake Buena Vista, Florida, USA, 14 Dec 1994-16 Dec 1994), 3, IEEE, 1994, 2249–2250
I. G. Vladimirov, “Metod naimenshikh kvadratov s ispolzovaniem perebora”, Izvestiya RAN: Tekhnicheskaya Kibernetika, 1992, no. 2, 95–110
103.
I. G. Vladimirov, Analiz i optimizatsiya algoritmov otsenivaniya parametrov regressionnykh modelei v usloviyakh chastichnoi statisticheskoi neopredelennosti, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk po spetsialnosti 01.01.09 (diskretnaya matematika i matematicheskaya kibernetika), MFTI, Moskva, Dolgoprudnyi, 1992 , 178 pp. https://search.rsl.ru/ru/record/01000254742
104.
I. G. Vladimirov, Vosstanovlenie funktsii neskolkikh peremennykh s pomoschyu mnogomernykh polinomov Bernshteina, deponirovano v VINITI, # 692-v92, VINITI, Moskva, 1992 , 4 pp.
1990
105.
I. A. Boguslavskii, I. G. Vladimirov, “Adaptivnoe otsenivanie vektora sdviga”, Izvestiya AN SSSR: Tekhnicheskaya Kibernetika, 1990, no. 4, 47–63
2024
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