Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products, ArXiv.org e-Print archive. 2021,December. 2112.00391
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On the boundedness of infinite matrix products with alternating factors from two sets of matrices. ArXiv.org e-Print archive. 2020. October. 2010.03890 Перейти к публикации
Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability. Automation and Remote Control, 2019, Vol. 80, No. 6, pp. 989-1015. Перейти к публикации
Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius. Automation and Remote Control, 2019, Vol. 80, No. 5, pp. 791-812. Перейти к публикации
Consensus in Asynchronous Multiagent Systems. I. Asynchronous Consensus Models. Automation and Remote Control, 2019, Vol. 80, No. 4, pp. 593-623. Перейти к публикации
Консенсус в асинхронных мультиагентных системах III. Конструктивная устойчивость и стабилизируемость // Автом. и телемех., 2019, № 6, С. 3–37 Перейти к публикации
Консенсус в асинхронных мультиагентных системах II. Метод совместного спектрального радиуса // Автом. и телемех., 2019, № 5, С. 3–31 Перейти к публикации
Minimax joint spectral radius and stabilizability of discrete-time linear switching control systems // Discrete Contin. Dyn. Syst. Ser. B. 2019. Vol. 24,
no. 8. P. 3537–3556.
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On convergence of infinite matrix products with alternating factors from two sets of matrices, Discrete Dynamics in Nature and Society,
Volume 2018 (2018), Article ID 9216760, 5 pages Перейти к публикации
Constructive stability and stabilizability of positive linear discrete time switching systems, Journal of Communications Technology and Electronics, 62, no. 6, 686-693.
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Minimax theorem for the spectral radius of the product of non-negative matrices, Linear and Multilinear Algebra, 65:11, 2356-2365, 2017 Перейти к публикации
Конструктивная устойчивость и стабилизируемость положительных линейных переключающихся систем с дискретным временем, Информационные процессы. Т. 16, № 2. С. 194–206. Перейти к публикации
2016 г.
Авторы: Asarin E., Cervelle J., Degorre A., Dima C., Horn F., Kozyakin V.
Entropy Games and Matrix Multiplication Games, 33rd Symposium on Theoretical Aspects of Computer Science, (STACS 2016). Ed. by N. Ollinger, H. Vollmer. Vol. 47 of Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, 2016. P. 11:1–11:14. Перейти к публикации
Hourglass alternative and the finiteness conjecture for the spectral characteristics of sets of non-negative matrices, Linear Algebra and its Applications, 489 (2016), 167-185. Перейти к публикации
Hardy type asymptotics for cosine series in several variables with decreasing power-like coefficients,
International Journal of Advanced Research in Mathematics, 2016, Vol. 5, pp. 35-51. Перейти к публикации
Constructive stability and stabilizability of positive linear discrete-time switching systems, ArXiv.org e-Print archive, 1511.05665, 2015, pp. 1-11. Перейти к публикации
On the asymptotics of cosine series in several variables with power coefficients, Journal of Comunications Technology and Electronics, 60(12):1441-1444, December 2015
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Matrix products with constraints on the sliding block relative frequencies of different factors, Linear Algebra and its Applications, 2014, Vol. 457, 244-260. Перейти к публикацииЗагрузить (436.4 KB)
The Berger-Wang formula for the Markovian joint spectral radius, Linear Algebra and its Applications, 2014, Vol. 448, 315-328. Перейти к публикацииЗагрузить (401.7 KB)
An annotated bibliography on the convergence of matrix products and the theory of joint/generalized spectral radius. Preprint. 2013. Перейти к публикации
Algebraic Unsolvability of Problem of Absolute Stability of Desynchronized Systems Revisited, ArXiv.org e-Print archive, Jan 2013, 8 pp. Перейти к публикации
Double Exponential Instability of Triangular Arbitrage Systems, Discrete and Continuous Dynamical Systems Series B, Vol. 18, no. 2, 349-376. Перейти к публикацииЗагрузить (468.5 KB)
Asymptotic behaviour of random Markov chains with tridiagonal generators, Bulletin of the Australian Mathematical Society, 87, 1, 26-37.
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Asymptotic behaviour of random tridiagonal Markov chains in biological applications, Discrete and Continuous Dynamical Systems Series B, Vol. 18, no. 2, 453-466. Перейти к публикацииЗагрузить (412.1 KB)
Fact and Fiction in FX Arbitrage Processes. Working Papers 1211: University of Strathclyde Business School, Department of Economics, 2012. - July, 14 p. Перейти к публикацииЗагрузить (624.1 KB)
2012 г.
Авторы: Cross R., Kozyakin V., O'Callaghan B., Pokrovskii A., Pokrovskiy A.
Авторы: Diamond P., Kloeden P., Kozyakin V., Pokrovskii A.
Semi-Hyperbolicity and Bi-Shadowing, American Institute of Mathematical Sciences, 2012, Vol. 1 of AIMS Series on Random and Computational Dynamics, xvi+217 pp., ISBN: 978-1-60133-012. Перейти к публикации
Качественный анализ сложных динамических систем (М.А. Красносельский и его ученики в ИППИ), Научная сессия Отделения нанотехнологий и информационных технологий РАН «Фундаментальные проблемы передачи и обработки информации», посвящённая юбилею ИППИ РАН, 12 с. Загрузить (1.2 MB)
One Idea of Pokrovskii: How to Link Economic Problems with Asynchronous Systems, Nonlinear Dynamics Conference in Memory of Alexei Pokrovskii, Ireland, University College Cork, September 5-9, 2011, 22pp. (talk, presentation)
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Конечная достижимость обобщенного спектрального радиуса ограниченного множества матриц с равномерно субпериферийным спектром, Информационные процессы, т. 11, № 2, с. 253-261 Перейти к публикации
Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum. Journal of Communications Technology and Electronics, 2011, Vol. 56, No. 12, pp. 1564–1569 (original Russian text published in Informatsionnye Protsessy, 2011, Vol. 11, No. 2, pp. 253–261). Перейти к публикацииЗагрузить (216.4 KB)
2011 г.
Авторы: Cross R., Kozyakin V., Lang D., O’Callaghan B., Pokrovskii A., Pokrovskiy A.
Arbitrage sequences and Leijonhufvud’s corridor hypothesis, Centre d’Economie de l’Université Paris Nord , March 2011, 15pp. (submitted to Cambridge Journal of Economics) Загрузить (192.7 KB)
A Pre-Encoding--Post-Decoding Technique for Stabilizing Asynchronously Operating Systems, Preprints of the 18th IFAC World Congress
Milano (Italy) August 28 - September 2, 2011, Vol. 18, Part 1, pp. 5855-5859. Перейти к публикацииЗагрузить (709.4 KB)
The dynamics of epidemiological systems with nonautonomous and random coefficients, Mathematics in Engineering, Science and Aerospace, MESA - www.journalmesa.com, Vol. 2, No. 2, pp. 105-118. Перейти к публикацииЗагрузить (186.6 KB)
A Relaxation Scheme for Computation of the Joint Spectral Radius of Matrix Sets, Journal of Difference Equations and Applications, Volume 17 Issue 2, February 2011, 183-201 (Victor Kozyakin. (c) Taylor & Francis, 2011. This is the author’s version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution).
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2010 г.
Авторы: Cross R., Kozyakin V., O'Callaghan B., Pokrovskii A., Pokrovskiy A.
Periodic Sequences of Arbitrage: A Tale of Four Currencies, University of Strathclyde Business School, Department of Economics in its series Working Papers, 2010, No. 10-19, 30 pp. (preliminary version) Перейти к публикации
Irreducibility measures in explicit estimation of the joint spectral radius. SciTopics (Research summaries by experts). July 15, 2010, http://www.scitopics.com/Irreducibility_measures_in_explicit_estimation_of_the_joint_spectral_radius.html
2010 г.
Авторы: Kozyakin V., Pokrovskii A., O'Callaghan B.
Sequences of Arbitrages, ArXiv.org e-Print archive, Apr. 2010, 18p. Перейти к публикации
Max-Relaxation Iteration Procedure for Building of Barabanov Norms: Convergence and Examples, ArXiv.org e-Print archive, Feb. 2010, 21p. Перейти к публикации
Polynomial Criteria for the v-Sufficiency of Jets in Classes of Finitely Smooth Mappings, Doklady Mathematics, 2010, Vol. 81, No. 1, pp. 101–104 (original Russian text published in Doklady Akademii Nauk, 2010, Vol. 430, No. 5, pp. 596–599). Загрузить (205.5 KB)
An explicit Lipschitz constant for the joint spectral radius, Linear Algebra and Applications, Applications, 2010, 433, No. 1, 12-18. Перейти к публикацииЗагрузить (119.5 KB)
Polynomial reformulation of the Kuo criteria for v-sufficiency of map-germs, Discrete and Continuous Dynamical Systems Series B, 14, No. 2, September 2010, 587-602. Перейти к публикацииЗагрузить (260.2 KB)
On Explicit A Priori Estimates of the Joint Spectral Radius by the Generalized Gelfand Formula, Differential
Equations and Dynamical Systems, Vol. 18, Nos. 1 & 2, January & April, 2010, pp. 91–103.
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