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Vladimirov, Igor Gennadievich
Vladimirov, Igor Gennadievich
Senior Researcher
PhD (1992)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Website: https://researchportalplus.anu.edu.au/en/persons/igor-vladimirov
Keywords: 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
UDC: 519.21
MSC: 93E20, 93E10, 76S05, 82B20

Subject:

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:
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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

https://www.mathnet.ru/eng/person62110
https://scholar.google.com/citations?user=_OxS-S0AAAAJ&hl=en
https://zbmath.org/authors/ai:vladimirov.igor-g
https://mathscinet.ams.org/mathscinet/MRAuthorID/316141
ISTINA https://istina.msu.ru/workers/10690899
https://orcid.org/0000-0002-9355-4736
https://www.researchgate.net/profile/Igor-Vladimirov
https://arxiv.org/a/vladimirov_i_1

List of scientific publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. 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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
2. 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  crossref  mathscinet  zmath  scopus 87
3. I. G. Vladimirov, I. R. Petersen, “A quasi-separation principle and Newton-like scheme for coherent quantum LQG control”, Systems and Control Letters, 62:7 (2013), 550–559 http://www.sciencedirect.com/science/article/pii/S0167691113000571, arXiv: arXiv:1010.3125v3  crossref  mathscinet  zmath  scopus 29
4. 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  crossref 29
5. 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  mathnet  mathscinet  zmath
6. 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  mathnet  mathscinet  isi
7. I. G. Vladimirov, A. P. Kurdyukov, A. V. Semyonov, “A stochastic problem of $H_{\infty}$-optimization”, Doklady Mathematics, 52:1 (1995), 155–157  mathnet  mathscinet  zmath
8. 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  crossref  mathscinet  zmath  adsnasa  scopus 17
9. 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, 2717–2723 http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6669506&url=http  crossref  scopus 16
10. 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, 239–244 https://www.sciencedirect.com/science/article/pii/S2405896321005395  crossref  isi  scopus 15
11. 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, 1–55 https://link.springer.com/article/10.1007, arXiv: arXiv:1707.09302  crossref  isi  scopus 14
12. 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  crossref  mathscinet  zmath  scopus 14
13. 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  crossref 14
14. A. Kh. Sichani, I. G. Vladimirov, I. R. Petersen, “A numerical approach to optimal coherent quantum LQG controller design using gradient descent”, Automatica, 85 (2017), 314–326 http://www.sciencedirect.com/science/article/pii/S0005109817304193, arXiv: arXiv:1609.07590  crossref  mathscinet  zmath  isi  scopus 12
15. 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  crossref 9
16. 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  crossref  mathscinet  adsnasa  isi  scopus 7
17. 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, 30–37 https://epubs.siam.org/doi/abs/10.1137/1.9781611975758.6  crossref  scopus 7
18. I. G. Vladimirov, A. Y. Klimenko, “Tracing diffusion in porous media with fractal properties”, SIAM: Multiscale Modeling and Simulation, 8:4 (2010), 1178–1211 http://epubs.siam.org/doi/abs/10.1137/090760234  crossref  mathscinet  zmath  scopus 7
19. 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, 179–184 https://ieeexplore.ieee.org/document/8945608  crossref  scopus 6
20. 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), 1107–1153 http://epubs.siam.org/doi/abs/10.1137/090765614  crossref  mathscinet  zmath  isi  scopus 6
21. 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  crossref  zmath  scopus 6
22. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
23. 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  crossref  mathscinet  scopus 6
24. 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  crossref  mathscinet  zmath  scopus 6
25. 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  crossref  scopus 5
26. 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, 1487–1492 http://arxiv.org/abs/1502.00274  crossref  scopus 5
27. 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, dedicated to the memory of Alexei Pokrovskii (2013), 575–600 http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7985, arXiv: arXiv:1204.1674v1  crossref  mathscinet  zmath  scopus 5
28. 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  crossref  mathscinet  zmath  adsnasa  scopus 5
29. K. Shi, I. R. Petersen, I. G. Vladimirov, “Making nonlinear systems negative imaginary via state feedback”, Automatica, 155 (2023), 111127 (9 pages) https://www.sciencedirect.com/science/article/pii/S000510982300287X  crossref 4
30. 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  crossref 4
31. 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, 806–811 https://ieeexplore.ieee.org/document/9143665  crossref 4
32. 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, 293–298 https://www.sciencedirect.com/science/article/pii/S2405896320303943?via  crossref  isi  scopus 4
33. 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  crossref  scopus 4
34. D.N.Saulov, I.G.Vladimirov, A.Y.Klimenko, “Modified associate formalism without entropy paradox: Part I: Model description”, Journal of Alloys and Compounds, 473:1-2 (2009), 167–175 http://www.sciencedirect.com/science/article/pii/S0925838808009420  crossref  scopus 4
35. P. Diamond, I. Vladimirov, “Set-valued Markov chains and negative semitrajectories of discretized dynamical systems”, Journal of Nonlinear Science, 12:2 (2002), 113–141  crossref  mathscinet  zmath  adsnasa  scopus 4
36. 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  crossref  mathscinet  zmath  scopus 4
37. 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), 4657–4672 https://ieeexplore.ieee.org/abstract/document/10399792  crossref 3
38. I. G. Vladimirov, I. R. Petersen, M. R. James, “Quadratic-exponential functionals of Gaussian quantum processes”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 24:4 (2021), 2150024 , 40 pp. https://www.worldscientific.com/doi/abs/10.1142/S0219025721500247, arXiv: arXiv:2103.09279  crossref  isi  scopus 3
39. 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, 214–219 https://ieeexplore.ieee.org/document/9318395  crossref  isi  scopus 3
40. 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), 1597–1628 https://epubs.siam.org/doi/abs/10.1137/17M1135050, arXiv: arXiv:1706.04358  crossref  mathscinet  isi  scopus 3
41. 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, 7107–7112 http://arxiv.org/abs/1505.02286  crossref  scopus 3
42. I. G. Vladimirov, “A quantum mechanical version of Price’s theorem for Gaussian states”, Proceedings of the Australian Control Conference, AUCC 2014 (Canberra, Australia, 17-18 November 2014), Engineers Australia, 2014, 118–123 https://controls.papercept.net/conferences/conferences/AUCC14/program/AUCC14_ContentListWeb_1.html#moei1_02  crossref  scopus 3
43. 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, 4807–4812 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6314612&tag=1  crossref  scopus 3
44. I.G. Vladimirov, I.R. Petersen, “Characterization and Moment Stability Analysis of Quasilinear Quantum Stochastic Systems with Quadratic Coupling to External Fields”, Proceedings of the 51st Conference on Decision and Control 2012 (Maui, Hawaii, USA, 10-13 December 2012), IEEE, 2012, 1691–1696 https://css.paperplaza.net/conferences/conferences/CDC12/program/CDC12_ContentListWeb_1.html#moc10_06  crossref  scopus 3
45. 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, 288–293 https://www.sciencedirect.com/science/article/pii/S2405896323002379  crossref 2
46. I. G. Vladimirov, I. R. Petersen, “Decoherence quantification through commutation relations decay for open quantum harmonic oscillators”, Systems & Control Letters, 178 (2023), 105585 (11 pages) https://www.sciencedirect.com/science/article/abs/pii/S0167691123001329  crossref 2
47. 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, 304–309 https://www.sciencedirect.com/science/article/pii/S2405896320303967?via  crossref  isi  scopus 2
48. 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), 177–192 https://link.springer.com/article/10.1007/s11768-017-7012-2  crossref  mathscinet  zmath  scopus 2
49. 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, 1–6 http://arxiv.org/abs/1503.02118  crossref  scopus 2
50. P. Diamond, I. Vladimirov, “Branching processes and computational collapse of discretized unimodal mappings”, International Journal of Bifurcation and Chaos, 12:12 (2002), 2847–2867  crossref  mathscinet  zmath  adsnasa  scopus 2
51. 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, 211–216 https://ieeexplore.ieee.org/abstract/document/10432850  crossref 1
52. I. G. Vladimirov, I. R. Petersen, “Coherent quantum LQG controllers with Luenberger dynamics”, 22nd IFAC World Congress (Yokohama, Japan, 9-14 July 2023), IFAC-PapersOnLine, 56, no. 2, 2023, 5158–5163 https://www.sciencedirect.com/science/article/pii/S240589632300455X, arXiv: arXiv:2211.07097  crossref 1
53. I. G. Vladimirov, “Probabilistic bounds with quadratic-exponential moments for quantum stochastic systems”, 22nd IFAC World Congress (Yokohama, Japan, 9-14 July 2023), IFAC-PapersOnLine, 56, no. 2, 2023, 5185–5190 https://www.sciencedirect.com/science/article/pii/S2405896323004597, arXiv: arXiv:2211.12161  crossref 1
54. 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  crossref 1
55. 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  crossref 1
56. 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, 166–171 https://www.sciencedirect.com/science/article/pii/S2405896321005280  crossref  isi  scopus 1
57. 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, 1090–1095 http://arxiv.org/abs/1506.04775  crossref  scopus 1
58. A. Kh. Sichani, I. G. Vladimirov, I. R. Petersen, “Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form”, Proceedings of the Australian Control Conference, AUCC 2014 (Canberra, Australia, 17-18 November 2014), IEEE, 2014, 83–88 https://controls.papercept.net/conferences/conferences/AUCC14/program/AUCC14_ContentListWeb_1.html#mocp_04  crossref  mathscinet  scopus 1
59. 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  crossref  scopus 1
60. I. G. Vladimirov, I. R. Petersen, “Decoherence time control by interconnection for finite-level quantum memory systems”, European Journal of Control, 2024, 1–8 https://www.sciencedirect.com/science/article/pii/S0947358024001146?via  crossref
61. I. G. Vladimirov, I. R. Petersen, “Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems”, Journal of the Franklin Institute, 361:7 (2024), 1–23 https://www.sciencedirect.com/science/article/pii/S0016003224002254?via, arXiv: arXiv:2204.12519  crossref
62. 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  crossref
63. 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  crossref
64. I. G. Vladimirov, Entropy bounds for invariant measure perturbations in stochastic systems with uncertain noise, 2023 (Published online) , 14 pp., arXiv: arXiv:2305.12936  crossref
65. 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  crossref
66. 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  crossref
67. 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, 1–8 https://ieeexplore.ieee.org/document/9947214  crossref
68. 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  crossref
69. 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  crossref
70. 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, 71–76 https://ieeexplore.ieee.org/document/9143648  crossref
71. 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, 24–29 https://ieeexplore.ieee.org/abstract/document/9318348  crossref  isi  scopus
72. 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
73. 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, 901–908 http://mtns2018.ust.hk/
74. 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, 482–488 http://mtns2018.ust.hk/
75. 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
76. 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, 78–83 https://controls.papercept.net/conferences/conferences/CNW16/program/CNW16_ContentListWeb_2.html
77. I.G. Vladimirov, “A phase-space formulation of the Belavkin-Kushner-Stratonovich filtering equation for nonlinear quantum stochastic systems”, 2016 IEEE Conference on Norbert Wiener in the 21st Century (21CW) (University of Melbourne, Australia, 13-16 July 2016), IEEE, 2016, 84–89 http://controls.papercept.net/conferences/conferences/CNW16/program/CNW16_ContentListWeb_2.html
78. 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
79. 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, 93–98 http://arxiv.org/abs/1506.07653
80. 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, 312–317 http://arxiv.org/abs/1509.02228
81. 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
82. 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, 1881–1888 https://controls.papercept.net/conferences/conferences/MTNS14/program/MTNS14_ContentListWeb_5.html#frb09_01
83. I. G. Vladimirov, Anisotropy-based optimal filtering in linear discrete time invariant systems, 2014 (Published online) , 15 pp., arXiv: 1412.3010
84. I.G. Vladimirov, I.R. Petersen, “Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians”, Proceedings of the Australian Control Conference 2012 (Sydney, Australia, 15-16 November 2012), IEEE, 2012, 247–252 https://controls.papercept.net/conferences/conferences/AUCC12/program/AUCC12_ContentListWeb_1.html#thit5_06
85. I.G. Vladimirov, I.R. Petersen, “Gaussian Stochastic Linearization for Open Quantum Systems Using Quadratic Approximation of Hamiltonians”, Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (Melbourne, Victoria, 9-13 July 2012), University of Melbourne, 2012, 1–8 http://www.mtns2012.conference.net.au/cgi-bin/readcsvplus.pl?config=mtns.pl&search=Vladimirov&sort_a=Author1&template=0
86. 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, 4701–4706 http://www.ifac-papersonline.net/Detailed/49025.html
87. 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, 1–7 http://www.ifac-papersonline.net/Detailed/47477.html
88. 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, 357–362 http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6114318&url=http
89. 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, 4721–4727 http://www.ifac-papersonline.net/Detailed/49031.html
90. 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, 51–58 http://www.conferences.hu/mtns2010/
91. 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, 2383–2390 http://www.conferences.hu/mtns2010/
92. 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, 6313–6318 http://www.ifac-papersonline.net/Detailed/36775.html
93. I.G.Vladimirov, E.Jak, “Edge-to-site reduction of Bethe-Peierls approximation for nearest neighbor exclusion cubic lattice particle systems and thermodynamic modeling of liquid silicates”, Journal of Chemical Physics, 126:16 (2007), 164502 , 10 pp. http://scitation.aip.org/content/aip/journal/jcp/126/16/10.1063/1.2720837?ver=pdfcov  crossref  adsnasa  scopus
94. 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.  crossref  mathscinet  zmath  scopus
95. I.G.Vladimirov, B.Thompson, “Bayesian forecasting in univariate autoregressive models with normal-gamma prior distribution of unknown parameters”, Proceedings of the Conference on Differential and Difference Equations and Applications (Melbourne, Florida, USA, 1-5 August 2005), Hindawi Publishing Corporation, New York, 2006, 1099–1108 http://books.google.com.au/books?id=zEi2vjmSIIIC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false  mathscinet  zmath
96. 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, 110–122 http://espace.library.uq.edu.au/view/UQ:104793
97. 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.)  mathnet  mathscinet  zmath
98. 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  crossref  mathscinet  zmath  scopus
99. 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.)  mathnet  mathscinet  zmath
100. 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
101. I. G. Vladimirov, V. V. Chernorutski, “Free oscillations in systems with play”, Autom. Remote Control, 56:11 (1995), 1538–1544  mathnet  mathscinet  zmath
102. I. G. Vladimirov, “Metod naimenshikh kvadratov s ispolzovaniem perebora”, Izvestiya RAN: Tekhnicheskaya Kibernetika, 1992, no. 2, 95–110  zmath
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.
105. I. A. Boguslavskii, I. G. Vladimirov, “Adaptivnoe otsenivanie vektora sdviga”, Izvestiya AN SSSR: Tekhnicheskaya Kibernetika, 1990, no. 4, 47–63

Presentations in Math-Net.Ru
1. Анизотропийные критерии для линейных стохастических систем непрерывного времени
I. G. Vladimirov
All-Moscow regular scientific seminar "Control Theory and Optimization"
October 13, 2020   

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