Персоналии: Владимиров Игорь Геннадиевич

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ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

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Владимиров Игорь Геннадиевич

Публикаций:	105
Научных статей:	105
Лекций и докладов:	1

Статистика просмотров:
Эта страница:	3035
Страницы публикаций:	1919
Полные тексты:	943
Списки литературы:	142

старший научный сотрудник

PhD (1992)

Специальность ВАК:

01.01.09 (дискретная математика и математическая кибернетика)

Сайт:

https://researchers.anu.edu.au/researchers/vladimirov-i?term=Vladimirov

Ключевые слова:

робастное управление/оценивание, стохастические системы, энтропийные вариационные задачи, пространственные дискретизации, динамические системы, решетчатые модели статистической механики, перенос в случайных средах, квантовомеханические системы, квантовое стохастическое управление и фильтрация

Коды УДК:

519.21

Коды MSC:

93E20, 93E10, 76S05, 82B20

Основные темы научной работы

Создание и разработка анизотропийной теории стохастического робастного управления в условиях статистической неопределенности, в том числе метода гомотопии для синтеза анизотропийных регуляторов.

Исследование вынужденных колебаний в многомерных системах с гистерезисом, включая быстроту установления периодических режимов.

Создание и разработка метода частотно измеримых квазипериодических множеств для теоретико-вероятностного изучения пространственно дискретизованных динамических систем.

Многомерные статистические методы вычисления моментов случайных матриц с применением к байесовскому оцениванию параметров и прогнозированию в диффузионных и авторегрессионных процессах.

Приближенные методы расчета термодинамических функций в решетчатых моделях статистической механики взаимодействующих частиц и асимптотические методы для процессов переноса в случайных средах.

Энтропийные вариационные задачи и диссипационные соотношения для открытых стохастических систем при наличии цветных шумов взаимодействия с окружением.

Задачи управления и фильтрации в открытых квантово-механических системах, описываемых квантовыми стохастическими дифференциальными уравнениями.

Научная биография:

Окончил Факультет управления и прикладной математики Московского физико-технического института (МФТИ) по специальности системы автоматического управления в 1989 г. и очную аспирантуру МФТИ в 1992 г. с защитой диссертации и присуждением ученой степени кандидата физико-математических наук по специальности 01.01.09 (дискретная математика и математическая кибернетика). Работал старшим научным сотрудником в Государственном научно-исследовательском институте авиационных систем (ГосНИИАС) в 1993-1997 гг. и Институте проблем передачи информации Российской Академии Наук (ИППИ РАН), Москва, в 1994-2007 гг. в области прикладной калмановской фильтрации, стохастического робастного управления, гистерезисных и пространственно дискретизованных динамических систем. С 1997 по 2008 г. работал научным и старшим научным сотрудником на факультетах математики и инженерных наук в Университете Квинсленда, Брисбен, при поддержке Австралийского исследовательского совета в вышеупомянутых областях, а также в области стохастического моделирования эконометрических рядов, решетчатых моделей статистической механики и процессов переноса в случайных средах. В 2000 г. работал в Департаменте математических наук Лондонского университета Королевы Марии, в области p-адического анализа эффектов округления в гамильтоновых системах. С 2009 по 2016 г. работал старшим научным сотрудником в Университете Нового Южного Уэльса в Канберре, в области квантово-механического и стохастического управления. С 2017 г. работаю старшим научным сотрудником в Австралийском национальном университете в области квантового, стохастического и робастного управления. Был удостоен премии имени Б.Н.Петрова РАН 2013 г. за основополагающие работы по анизотропийной теории стохастической робастной фильтрации и управления, а также награды за лучшую статью Европейской конференции по управлению 2024 г. (Стокгольм, Швеция) за работу по декогеренции квантовой памяти.

Основные публикации:

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, 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
И.Г. Владимиров, “О сильных решениях процесса Моро”, Доклады Академии Наук, 353:1 (1997), 7–9
I.G. Vladimirov, A.P. Kurdyukov, and A.V. Semyonov, “State-space solution to anisotropy-based stochastic H-infinity optimization problem”, 13th IFAC World Congress, San-Francisco, USA, 1996, 427–432

https://www.mathnet.ru/rus/person62110

https://scholar.google.com/citations?user=_OxS-S0AAAAJ&hl=ru

https://zbmath.org/authors/ai:vladimirov.igor-g

https://mathscinet.ams.org/mathscinet/MRAuthorID/316141

ИСТИНА

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

Список публикаций:

по годам

		Цитирования (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	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
2.	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	3 ^[x]
3.	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
4.	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	1 ^[x]

2023
5.	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, 288–293 https://www.sciencedirect.com/science/article/pii/S2405896323002379	2 ^[x]
7.	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	2 ^[x]
8.	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	3 ^[x]
9.	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
12.	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	1 ^[x]
13.	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	1 ^[x]

2022
14.	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	4 ^[x]
15.	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	1 ^[x]
17.	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	1 ^[x]
18.	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
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

2021
21.	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	3 ^[x]
22.	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	1 ^[x]
23.	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	15 ^[x]

2020
24.	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	4 ^[x]
25.	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
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, 24–29 https://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, 293–298 https://www.sciencedirect.com/science/article/pii/S2405896320303943?via	4 ^[x]
28.	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	2 ^[x]
29.	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	3 ^[x]

2019
30.	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	3 ^[x]
31.	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	7 ^[x]
32.	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	7 ^[x]
33.	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	5 ^[x]
34.	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	6 ^[x]
35.	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, 1–55 https://link.springer.com/article/10.1007, arXiv: arXiv:1707.09302	14 ^[x]
37.	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/
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, 482–488 http://mtns2018.ust.hk/

2017
39.	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	12 ^[x]
40.	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	2 ^[x]
41.	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, 78–83 https://controls.papercept.net/conferences/conferences/CNW16/program/CNW16_ContentListWeb_2.html
43.	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
44.	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), 1107–1153 http://epubs.siam.org/doi/abs/10.1137/090765614	6 ^[x]
46.	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	4 ^[x]
47.	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	1 ^[x]
48.	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
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, 1487–1492 http://arxiv.org/abs/1502.00274	5 ^[x]
50.	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
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, 1–6 http://arxiv.org/abs/1503.02118	2 ^[x]
52.	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	3 ^[x]
53.	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, 1881–1888 https://controls.papercept.net/conferences/conferences/MTNS14/program/MTNS14_ContentListWeb_5.html#frb09_01
55.	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	3 ^[x]
56.	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	1 ^[x]
57.	I. G. Vladimirov, Anisotropy-based optimal filtering in linear discrete time invariant systems, 2014 (Published online) , 15 pp., arXiv: 1412.3010

2013
58.	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	29 ^[x]
59.	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	5 ^[x]
60.	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	16 ^[x]

2012
61.	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	3 ^[x]
62.	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	3 ^[x]
63.	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
64.	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

2011
65.	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
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, 1–7 http://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, 357–362 http://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, 4721–4727 http://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), 1178–1211 http://epubs.siam.org/doi/abs/10.1137/090760234	7 ^[x]
70.	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/
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, 2383–2390 http://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	1 ^[x]

2009
73.	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	4 ^[x]

2008
74.	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

2007
75.	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

2006
76.	И. Г. Владимиров, Ф. Даймонд, П. Е. Клоеден, “Анизотропийный анализ робастного качества линейных нестационарных дискретных систем на конечном временном интервале”, Автомат. и телемех., 2006, № 8, 92–111 ; 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	96 ^[x]
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.
78.	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
79.	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

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	6 ^[x]

2003
81.	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	13 ^[x]
82.	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	17 ^[x]

2002
83.	И. Г. Владимиров, Ф. Даймонд, “Обоснование модели равномерного белого шума для ошибок округления в цифровых системах в арифметике с фиксированной запятой”, Автомат. и телемех., 2002, № 5, 68–80 ; 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	6 ^[x]
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	4 ^[x]
85.	P. Diamond, I. Vladimirov, “Branching processes and computational collapse of discretized unimodal mappings”, International Journal of Bifurcation and Chaos, 12:12 (2002), 2847–2867	2 ^[x]

2001
86.	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	4 ^[x]
87.	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	86 ^[x]

2000
88.	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	6 ^[x]

1999
89.	И. Г. Владимиров, А. П. Курдюков, А. В. Семëнов, “Асимптотика анизотропийной нормы линейных стационарных систем”, Автомат. и телемех., 1999, № 3, 78–87 ; 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	22 ^[x]
90.	И. Г. Владимиров, “Асимптотика потери информации при дискретизации случайных процессов”, Доклады Академии Наук, 368:6 (1999), 745–748 , (представлена академиком Н.А.Кузнецовым 1998 г.)

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	5 ^[x]
92.	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.	И. Г. Владимиров, “О сильных решениях процесса Моро”, Доклады Академии Наук, 353:1 (1997), 7–9 , (представлена академиком С.М.Никольским 22.12.94 г.)
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	6 ^[x]

1996
95.	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	7 ^[x]
96.	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	28 ^[x]
97.	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.	И. Г. Владимиров, В. В. Черноруцкий, “Об автоколебаниях в системах с люфтом”, Автомат. и телемех., 1995, № 11, 41–50 ; I. G. Vladimirov, V. V. Chernorutski, “Free oscillations in systems with play”, Autom. Remote Control, 56:11 (1995), 1538–1544
99.	И. Г. Владимиров, А. П. Курдюков, А. В. Семенов, “Анизотропия сигналов и энтропия линейных стационарных систем”, Доклады Академии Наук, 342 (1995), 583–585 ; 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	26 ^[x]
100.	И. Г. Владимиров, А. П. Курдюков, А. В. Семенов, “Стохастическая проблема $H_{\infty}$-оптимизации”, Доклады Академии Наук, 343:5 (1995), 607–609 ; I. G. Vladimirov, A. P. Kurdyukov, A. V. Semyonov, “A stochastic problem of $H_{\infty}$-optimization”, Doklady Mathematics, 52:1 (1995), 155–157	19 ^[x]

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	13 ^[x]

1992
102.	И. Г. Владимиров, “Метод наименьших квадратов с использованием перебора”, Известия РАН: Техническая Кибернетика, 1992, № 2, 95–110
103.	И. Г. Владимиров, Анализ и оптимизация алгоритмов оценивания параметров регрессионных моделей в условиях частичной статистической неопределенности, Диссертация на соискание ученой степени кандидата физико-математических наук по специальности 01.01.09 (дискретная математика и математическая кибернетика), МФТИ, Москва, Долгопрудный, 1992 , 178 с. https://search.rsl.ru/ru/record/01000254742
104.	И. Г. Владимиров, Восстановление функций нескольких переменных с помощью многомерных полиномов Бернштейна, депонировано в ВИНИТИ, № 692-в92, ВИНИТИ, Москва, 1992 , 4 с.

1990
105.	И. А. Богуславский, И. Г. Владимиров, “Адаптивное оценивание вектора сдвига”, Известия АН СССР: Техническая Кибернетика, 1990, № 4, 47–63

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1.	Анизотропийные критерии для линейных стохастических систем непрерывного времени И. Г. Владимиров Общемосковский постоянный научный семинар «Теория автоматического управления и оптимизации» 13 октября 2020 г.

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