Nonlinear functional analysis, topological methods of nonlinear problems study, nonlinear boundary and initial-boundary problems of differential equations and equations of mathematical physics, multi-agent systems.
Main publications:
V. G. Zvyagin, A. V. Kuznetsov, “O plotnosti mnozhestva pravykh chastei nachalno-kraevoi zadachi modeli Dzheffrisa s ob'ektivnoi proizvodnoi Yaumanna”, UMN, 63:6(384) (2008), 165–166
V. G. Zvyagin, A. V. Kuznetsov, “Optimalnoe upravlenie v modeli dvizheniya vyazkouprugoi sredy s ob'ektivnoi proizvodnoi”, Izvestiya vuzov. Matematika, 2009, № 5, 55–61
A. V. Kuznetsov, “Granichnoe optimalnoe upravlenie v nachalno-kraevoi zadache dlya modeli vyazkouprugoi sredy s polnoi proizvodnoi”, Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Fizika. Matematika, 1 (2008), 232–248
A. V. Kuznetsov, “Model sovmestnogo dvizheniya agentov s trekhurovnevoi ierarkhiei na osnove kletochnogo avtomata”, Zh. vychisl. matem. i matem. fiz., 57:2 (2017), 339–349; Comput. Math. Math. Phys., 57:2 (2017), 340–349
A.V. Kuznetsov, A. Schumann, M. Rataj, “Continuous optimisation problem and game theory for multi-agent pathfinding”, International Journal of Game Theory, 2023, D2IW4 (Published online) , 41 pp.
S.A.K. Diane, A.V. Kuznetsov, D.V. Stepanov, D.V. Akulovskii, “Algoritmy upravleniya dvizheniem BPLA i nazemnoi stantsii v zadachakh monitoringa protyazhennykh ob'ektov”, Perspektivnye sistemy i zadachi upravleniya:
materialy XVIII Vserossiiskoi nauchno-prakticheskoi konferentsii i XIV molodezhnoi shkoly-seminara «Upravlenie i obrabotka informatsii v tekhnicheskikh sistemakh» (p. Dombai, Karachaevo-Cherkesskaya Respublika, 3–7 aprelya 2023 g.), OOO Izdatelstvo «Lukomore», Taganrog, 2023, 63–71https://disk.yandex.ru/i/B9LFCBtdQInSjw
3.
A.V. Kuznetsov, The coverage planning for ground robot with constraints on the path length and time, Wolfram Community, 2023 (Published online)
4.
A.V. Kuznetsov, “Zadacha planirovaniya puti pokrytiya s ogranicheniyami na dlinu puti i vremya”, «Imitatsionnoe modelirovanie. Teoriya i praktika» IMMOD-2023: sbornik trudov odinnadtsatoi vserossiiskoi nauchno-prakticheskoi konferentsii po imitatsionnomu modelirovaniyu i ego primeneniyu v nauke i promyshlennosti, eds. V.V. Devyatkov, Izd-vo AN RT, Kazan, 2023, 264–273Sait NOIM
A.V. Kuznetsov, E.L. Shishkina, Metody algebraicheskoi geometrii v kriptografii : uchebnoe posobie, 1-e izd., Izdatelskii dom VGU, Voronezh, 2023 , 125 pp. ResearchGate
7.
A.V. Kuznetsov, Kompyuternye seti. Kratkii obzor ustroistv, sistem i tekhnologii : uchebnoe posobie, Izdatelskii dom VGU, Voronezh, 2023 , 131 pp. ResearchGate
2022
8.
Alexander V. Kuznetsov, Elina L. Shishkina, Małgorzata Rataj, “Comparison of simulation and analytical models for the distribution of a group of agents moving in random directions”, Mathematical Methods in the Applied Sciences, 2022, 7J8FA (Published online) , 13 pp.
2021
9.
A.V. Kuznetsov, E.L. Shishkina, “Comparison of simulation and analytical models for the distribution of a group of agents in random directions”, Tenth All-Russian Scientific and Practical Conference on simulation and its application in science and industry «Simulation. Theory and Practice» (IMMOD-2021) (St. Petersburg, October 20-22, 2021), JSC “SSTC”, St. Petersburg, 2021, 250–256
10.
A. V. Kuznetsov, R. A. Sheps, “Improvement of methods for thermal energy metering in apartment buildings with a vertical heating system”, 2020 International Conference on Applied Mathematics, Computational Science and Mechanics: Current Problems, AMCSM 2020 (Voronezh, 7–9 December 2020), Journal of Physics: Conference Series, 1902, 2021, 012119 , 8 pp. https://iopscience.iop.org/article/10.1088/1742-6596/1902/1/012119
M.A. Artemov, E.S. Baranovskii, A.V. Kuznetsov, Wavelet based approach for image compression problem, VSU Publishing House, Voronezh, 2021 (Published online) Dostup iz intraseti VGU
2020
12.
A. V. Kuznetsov, “Algorithm of group movement of agents with directional antennas and the related game”, Applied Mathematics, Computational Science and Mechanics: Current Problems (Voronezh, Russian Federation, 11-13 November 2019), Journal of Physics: Conference Series, 1479, 2020, 012035 (Published online) , 7 pp.
Alexander Kuznetsov, “Game-theoretic Model of Agents’ Motion over a Terrain with Obstacles”, International Conference on Information Technology and Nanotechnology (ITNT) (Samara, 26-29 May 2020), 2020 International Conference on Information Technology and Nanotechnology (ITNT), 2020, 1–5 (Published online) IEEE Xplore
2021
14.
Alexander Kuznetsov, “Game of Operation of a Telecommunication Network of Agents with Directional Antennas”, Automation and Remote Control, 82:4 (2021), 687–705 (Published online) Springer Nature SharedIt
2020
15.
A.V. Kuznetsov, Zapiska po voprosam uchenykh stepenei i zvanii, Troitskii variant – Nauka. 11 marta 2020, 2020 (Published online) Ssylka na sait gazety
16.
A.V. Kuznetsov, Zapiska o strukture nauki v Rossii, Troitskii variant – Nauka. 11 iyunya 2020, 2020 (Published online) Ssylka na sait gazety
2019
17.
A. Kuznetsov, E. Shishkina, S. Sitnik, “Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice”, Journal of Optimization Theory and Applications, 182 (2019), 768–784
A.V. Kuznetsov, Modeli dvizheniya, vzaimodeistviya i seti svyazi mobilnykh agentov v ierarkhicheskikh sistemakh na osnove kletochnykh avtomatov, Diss. … dokt. fiz.-matem. nauk, Voronezhskii gosudarstvennyi universitet, Voronezh, 2019 , 268 pp. Nauchno-informatsionnyi portal VGU
21.
Alexander Kuznetsov, “Self-organization of the communication network”, International Conference "Applied Mathematics, Computational Science and Mechanics: Current Problems (Voronezh, 17–19 December 2018), Journal of Physics: Conference Series, 1203, 2019, 012093
2018
22.
A. V. Kuznetsov, “Dynamic model of the communication system of a group of agents”, UBS, 75 (2018), 6–29
23.
A. V. Kuznetsov, “The short review of multi-agent models”, UBS, 71 (2018), 6–44
24.
A. V. Kuznetsov, “On the motion of agents across terrain with obstacles”, Comput. Math. Math. Phys., 58:1 (2018), 137–151
25.
A. V. Kuznetsov, “Modelling of a communication system of agents moving through terrain with obstacles”, Chelyab. Fiz.-Mat. Zh., 3:2 (2018), 237–248
26.
Alexander V. Kuznetsov, “Model of the motion of agents with memory based on the cellular automaton”, International Journal of Parallel, Emergent and Distributed Systems, 33:3 (2018), 290–306
A. Kuznetsov, “Segregation model for dynamic frequency allocation”, Advances in Systems Science and Applications, 18:2 (2018), 84–92
28.
A.V. Kuznetsov, “Probabilistic properties of quasi-optimal trajectories of an agent moving over a lattice”, IV International Conference on Information Technology and Nanotechnology (ITNT-2018) (Samara, April 24–27, 2018), New Engineering Ltd, Samara, 2018, 2001–2009
29.
A.V. Kuznetsov, “Model of movement and interaction of intellectual agents' system”, Proceedings of Voronezh State University. Series: Systems Analysis and Information Technologies, 2018, no. 2, 130–138
30.
A.V. Kuznetsov, “Primenenie kontseptsii indiiskoi filosofii v agentnom modelirovanii”, SOTsIOFIZIKA I SOTsIOINZhENERIYa`2018 trudy vtoroi Vserossiiskoi mezhdistsiplinarnoi konferentsii. Institut problem upravleniya im. V.A. Trapeznikova RAN; Moskovskii gosudarstvennyi universitet imeni M.V. Lomonosova (Moskva, 23-25 maya 2018 g.), Institut problem upravleniya im. V.A. Trapeznikova RAN, 2018, 301–302
31.
A. Schumann, A. V. Kuznetsov, “Foundations of mathematics under neuroscience conditions of lateral inhibition and lateral activation”, International Journal of Parallel, Emergent and Distributed Systems, 33:3 (2018), 237–256
A.V. Kuznetsov, A.V. Nesterenko, M.V. Bogatyrev, V.P. Pustovit, Sposob organizatsii zaschischennoi sistemy svyazi, Patent RF na izobretenie № 2644523. Pravoobladatel: AO «Kontsern «Sozvezdie», 2018 Referat izobreteniya na saite FIPS
2020
33.
A. V. Kuznetsov, “Organization of an Agents’ Formation through a Cellular Automaton”, Automation and Remote Control, 81 (2020), 153–170
34.
A. V. Kuznetsov, “Allocation of Limited Resources in a System with a Stable Hierarchy (on the Example of the Prospective Military Communications System)”, Advances in Systems Science and Applications, 20:2 (2020), 131–145 (Published online) https://ijassa.ipu.ru/index.php/ijassa/article/view/910
2017
35.
A. V. Kuznetsov, “A model of the joint motion of agents with a three-level hierarchy based on a cellular automaton”, Comput. Math. Math. Phys., 57:2 (2017), 340–349
36.
Alexander V. Kuznetsov, “Cellular automata-based model of group motion of agents with memory and related continuous model”, Proceedings of the Mathematical Modeling Session at the International Conference Information Technology and Nanotechnology (MM-ITNT 2017) (Samara, Russia, 24-27 April, 2017), eds. Sergei Sazhin, Elena Shchepakina, Vladimir Sobolev, Denis Kudryashov, CEUR Workshop Proceedings (CEUR-WS.org), 2017, 223–231
Alexander V. Kuznetsov, “Generation of a random landscape by given configuration entropy and Total Edge”, Journal of Computational Technologies, 22:4 (2017), 4–10
39.
A.V. Kuznetsov, “Postroenie nepreryvnoi modeli napravlennogo dvizheniya agentov po peresechennoi mestnosti”, Matematicheskie metody v tekhnike i tekhnologiyakh - MMTT (Sankt-Peterburg, 30 maya – 2 iyunya 2017 g.), 2, Saratovskii gosudarstvennyi tekhnicheskii universitet imeni Gagarina Yu.A., Saratov, 2017, 46–51
40.
A.V. Kuznetsov, N.I. Selvesyuk, M.E. Semenov, G.A. Platoshin, “Quasioptimal distribution of avionics based on a cellular automaton and on an ant’s colony algorithm”, Proceedings of Voronezh State University. Series: Systems Analysis and Information Technologies, 2017, no. 4, 38–45
41.
A.V. Kuznetsov, “Dissimilarity measure on the set of graphs and its applications”, Proceedings of Voronezh State University. Series: Systems Analysis and Information Technologies, 2017, no. 1, 125–131
42.
A. V. Kuznetsov, “Automatic role-oriented assignment of channels in the ad hoc network of hierarchically organized agents”, EAI International Conference on Bio-inspired Information and Communications Technologies (BICT) (Hoboken, NJ, 15-17 marta 2017 g.), EAI, 2017, 75–82
43.
A.V. Kuznetsov, N.I. Selvesyuk, M.E. Semenov, G.A. Platoshin, “Primenenie kletochnykh avtomatov i muravinykh algoritmov v zadachakh avioniki”, Aktualnye problemy prikladnoi matematiki, informatiki i mekhaniki sbornik trudov Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii (Voronezh, 18–20 dekabrya 2017 g.), Izdatelstvo "Nauchno-issledovatelskie publikatsii; Obschestvo s ogranichennoi otvetstvennostyu "Velborn, Voronezh, 2017, 1649–1653
1
44.
A.V. Kuznetsov, “Decentralized agents' formation control based on the cellular automaton”, Modern Complex Control Systems. Materials of the XII International Scientific and Practical Conference (Lipetsk, October 25–27, 2017), 1, Lipetsk State Technical University, Lipetsk, 2017, 91–95
45.
A. Schumann, A. V. Kuznetsov, “Talmudic foundations of mathematics”, EAI International Conference on Bio-inspired Information and Communications Technologies (BICT) (Hoboken; United States; 15 March 2017 do 17 March 2017), EAI, 2017, 67–74
46.
A.V. Kuznetsov, A.S. Leschev, Programmnaya sreda mnogoagentnogo modelirovaniya «Psikhokhod», Programma dlya EVM #2017619605, 2017 Referat na saite FIPS
2016
47.
A.V. Kuznetsov, S.N. Zharkov, “A special wireless network configuration over a secure radiochannel”, Electrosvyaz Magazine, 2016, no. 12, 28–35
48.
A. Kuznetsov, “Adaptive hierarchical system of the communication, control and decision support”, XXII International Scientific and Technical Conference “Radiolocation, Navigation, Communication” (RLNC*2016) (Voronezh, April 19–21, 2016), 1, NPF “Sakvoee”, Voronezh, 2016, 269–277
49.
A.V. Kuznetsov, “Analiz sovmestnogo dvizheniya sistemy agentov”, Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina (Voronezh, 25–31 yanvarya 2016 g.), eds. V. A. Kostin, Izdatelsko-poligraficheskii tsentr “Nauchnaya kniga”, Voronezh, 2016, 242–245
50.
A.V. Kuznetsov, Programma modelirovaniya dvizheniya i boevykh deistvii ierarkhicheski organizovannykh agentov «Bokokhod», Programma dlya EVM # 2017619605. Pravoobladatel: AO «Kontsern «Sozvezdie», 2016 Referat na saite FIPS
2015
51.
A.V. Kuznetsov, “On the term “Lamaism” and criticism of it”, Proceedings of Voronezh State University. Series: Philosophy, 2015, no. 1 (15), 66–72
M.V. Obelchenko, V.B. Mokhryakov, V.V. Bessonov, A.V. Kuznetsov, Sredstvo peredachi dannykh telekommunikatsionnoi seti i telekommunikatsionnaya set, Patent RF na izobretenie № RU 2549120. Pravoobladatel: AO «Kontsern «Sozvezdie», 2015 Referat izobreteniya na saite FIPS
2014
54.
V. Bessonov, A. Kuznetsov, “The technology for creating ad hoc radio network with functions of cognitive radio on the principles of software defined radio”, High Technologies of XXI Century: Proceedings of the XV International Scientific and Technical Conference (Voronezh, May 13–14, 2014), NPF Sakvoee, Voronezh, 2014, 176–187
2013
55.
M.V. Obelchenko, V.B. Mokhryakov, V.V. Bessonov, A.V. Kuznetsov, Kontrolno-upravlyayuschii telekommunikatsionnyi modul, Patent na poleznuyu model RU 131259. Pravoobladatel: AO «Kontsern «Sozvezdie», 2013 Referat poleznoi modeli na saite FIPS
56.
A.V. Kuznetsov, A.A. Sviridov, Programmnoe obespechenie imitatora radiostantsii, Programma dlya EVM # 2013619255. Pravoobladatel: AO «Kontsern «Sozvezdie», 2013 Referat na saite FIPS
57.
A.V. Kuznetsov, A.A. Sviridov, M.P. Ponomarev, Programmnoe obespechenie imitatsii informatsionnogo obmena v radiosetyakh, Programma dlya EVM # 2013619130. Pravoobladatel: AO «Kontsern «Sozvezdie», 2013 Referat na saite FIPS
2012
58.
A.V. Kuznetsov, V.V. Bessonov, A.N. Volchenko, Programma formirovaniya pechatnykh blankov radiodannykh, Programma dlya EVM # 2012612443. Pravoobladatel: AO «Kontsern «Sozvezdie», 2012
2011
59.
V.V. Bessonov, S.V. Kruchinin, A.V. Kuznetsov, A.A. Sviridov, “Object-linguistic model unified visual projection counseling and format storage and transfer data communication system based on XML”, The Bulletin of Voronezh State Technical University, 7:8 (2011), 56–60
60.
V.V. Bessonov, A.V. Kuznetsov, Ustroistvo trenazhera-imitatora sistemy svyazi s ispolzovaniem programmnykh sredstv modelirovaniya sistemy svyazi, Patent na poleznuyu model RU 107872. Pravoobladatel: AO «Kontsern «Sozvezdie», 2011 Referat poleznoi modeli na saite FIPS
61.
B. N. Voronkov, A.V. Kuznetsov, Normativno-pravovye i organizatsionnye metody obespecheniya informatsionnoi bezopasnosti pri razrabotke ustroistv, ispolzuyuschikh sredstva kriptozaschity, uchebnoe posobie dlya vuzov : [dlya stud. 4 kursa dnev. otd-niya, 4 kursa vecher. otd-niya i dlya magistrov 5 kursa dnev. otd-niya, dlya spetsialnosti 010501 - Prikladnaya matematika i informatika], IPTs VGU, Voronezh, 2011 , 135 pp. Svobodnyi dostup iz intraseti VGU
62.
V.V. Bessonov, A.V. Kuznetsov, A.A. Sviridov, Programma redaktirovaniya strukturnykh skhem PTK, Programma dlya EVM # 2011611807. Pravoobladatel: AO «Kontsern «Sozvezdie», 2011
2010
63.
V. Bessonov, A. Kuznetsov, “Communication system mathematical model”, Teoriya i tekhnika radiosvyazi, 2010, no. 2, 58–64
2009
64.
V. G. Zvyagin, A. V. Kuznetsov, “Optimal control in a model of the motion of a viscoelastic medium with objective derivative”, Russian Math. (Iz. VUZ), 53:5 (2009), 48–53
V. G. Zvyagin, A. V. Kuznetsov, “The density of the set of right-hand sides of the initial-boundary value problem for the Jeffreys model of a viscoelastic fluid”, Russian Math. Surveys, 63:6 (2008), 1159–1161
67.
A.V. Kuznetsov, “Border optimal control for the initial-boundary problem for the model of the viscoelastic fluid with full derivative”, Proceedings of Voronezh State University. Series: Physics. Mathematics, 2008, no. 1, 232–248
2007
68.
A.V. Kuznetsov, “Right parts optimal control for the initial-boundary problem for the model of the viscoelastic fluid with full derivative”, Proceedings of Voronezh State University. Series: Physics. Mathematics, 2 (2007), 116–127
2023
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