{"leader":"19212nam#a2201237#i#450#","fields":[{"001":"2486"},{"005":"20241123042528.6"},{"008":{"ind1":" ","ind2":" ","subfields":[{"":"20221014d2022####ek#y0engy0150####ca"}]}},{"020":{"ind1":"#","ind2":"#","subfields":[{"$a":"978-5-369-02102-6"}]}},{"044":{"ind1":"#","ind2":"#","subfields":[{"$a":"xxu"}]}},{"080":{"ind1":"#","ind2":"#","subfields":[{"$a":"\u00d0\u009c\u00d0\u00b0\u00d1\u0082\u00d0\u00b5\u00d0\u00bc\u00d0\u00b0\u00d1\u0082\u00d0\u00b8\u00d0\u00ba\u00d0\u00b0. 51"},{"$a":"\u00d0\u009d\u00d0\u00b0\u00d1\u0083\u00d0\u00ba\u00d0\u00b0 \u00d0\u00b2 \u00d1\u0086\u00d0\u00b5\u00d0\u00bb\u00d0\u00be\u00d0\u00bc (\u00d0\u00b8\u00d0\u00bd\u00d1\u0084\u00d0\u00be\u00d1\u0080\u00d0\u00bc\u00d0\u00b0\u00d1\u0086\u00d0\u00b8\u00d0\u00be\u00d0\u00bd\u00d0\u00bd\u00d1\u008b\u00d0\u00b5 \u00d1\u0082\u00d0\u00b5\u00d1\u0085\u00d0\u00bd\u00d0\u00be\u00d0\u00bb\u00d0\u00be\u00d0\u00b3\u00d0\u00b8\u00d0\u00b8 - 004). 00"},{"$a":"\u00d0\u0098\u00d1\u0081\u00d0\u00ba\u00d1\u0083\u00d1\u0081\u00d1\u0081\u00d1\u0082\u00d0\u00b2\u00d0\u00b5\u00d0\u00bd\u00d0\u00bd\u00d1\u008b\u00d0\u00b9 \u00d0\u00b8\u00d0\u00bd\u00d1\u0082\u00d0\u00b5\u00d0\u00bb\u00d0\u00bb\u00d0\u00b5\u00d0\u00ba\u00d1\u0082 \u00d0\u00b2 \u00d0\u00bf\u00d1\u0080\u00d0\u00be\u00d0\u00bc\u00d1\u008b\u00d1\u0088\u00d0\u00bb\u00d0\u00b5\u00d0\u00bd\u00d0\u00bd\u00d1\u008b\u00d1\u0085 \u00d1\u0081\u00d0\u00b8\u00d1\u0081\u00d1\u0082\u00d0\u00b5\u00d0\u00bc\u00d0\u00b0\u00d1\u0085. \u00d0\u0098\u00d0\u00bd\u00d1\u0082\u00d0\u00b5\u00d0\u00bb\u00d0\u00bb\u00d0\u00b5\u00d0\u00ba\u00d1\u0082\u00d1\u0083\u00d0\u00b0\u00d0\u00bb\u00d1\u008c\u00d0\u00bd\u00d1\u008b\u00d0\u00b5 \u00d0\u00a1\u00d0\u0090\u00d0\u009f\u00d0\u00a0 \u00d0\u00b8 \u00d0\u0090\u00d0\u00a1\u00d0\u00a3. \u00d0\u0098\u00d0\u00bd\u00d1\u0082\u00d0\u00b5\u00d0\u00bb\u00d0\u00bb\u00d0\u00b5\u00d0\u00ba\u00d1\u0082\u00d1\u0083\u00d0\u00b0\u00d0\u00bb\u00d1\u008c\u00d0\u00bd\u00d1\u008b\u00d0\u00b5 \u00d1\u0080\u00d0\u00be\u00d0\u00b1\u00d0\u00be\u00d1\u0082\u00d1\u008b. 004.896"}]}},{"100":{"ind1":"#","ind2":"1","subfields":[{"$a":"Dubanov, Aleksandr Anatol'evich"},{"$a":"Banzarov Buryat State University"}]}},{"245":{"ind1":"0","ind2":"0","subfields":[{"$a":"Computer simulation in pursuit problems"},{"$c":"Monography"}]}},{"260":{"ind1":"1","ind2":"#","subfields":[{"$a":"Moscow"},{"$b":"Publishing Center RIOR"},{"$c":"2022"}]}},{"300":{"ind1":"#","ind2":"#","subfields":[{"$a":"161 p."}]}},{"500":{"ind1":"#","ind2":"#","subfields":[{"$a":"Currently, computer simulation in virtual reality systems has a special status. In order for a computer model to meet the requirements of the tasks it models, it is necessary that the mathematical apparatus correctly describe the simulated phenomena.\r\nIn this monograph, the simulation of pursuit problems is carried out. An adaptive modeling of the behavior of both pursuers and targets is carried out. An iterative calculation of the trajectories of the participants in the pursuit problem is carried out.\r\nThe main attention is paid to the methods of pursuit and parallel rendezvous. These methods are taken as the basis of the study and are modified in the future.\r\nThe scientific novelty of the study is the iterative calculation of the trajectories of the participants in the pursuit task when moving at a constant speed, while following the predicted trajectories.\r\nThe predicted trajectories form a one-parameter network of continuous lines of the first order of smoothness. The predicted trajectories are calculated taking into account the restrictions on the curvature of the participant in the pursuit problem.\r\nThe fact of restrictions on curvature can be interpreted as restrictions on the angular frequency of rotation of the object of the pursuit problem.\r\nAlso, the novelty is the calculation of the iterative process of group pursuit of multiple targets, when targets are hit simultaneously or at specified intervals. The calculation of the parameters of the network of predicted trajectories is carried out with a curvature variation in order to achieve the desired temporal effect.\r\nThe work also simulates the adaptive behavior of the pursuer and the target. The principle of behavior can be expressed on the example of a pursuer with a simple phrase: \"You go to the left - I go to the left.\" This happens at each iteration step in terms of choosing the direction of rotation. For the purpose, the principle of adaptive behavior is expressed by the phrase: \"You go to the left - I go to the right.\"\r\nThe studies, algorithms and models presented in the monograph can be in demand in the design of autonomously controlled unmanned aerial vehicles with elements of artificial intelligence.\r\nThe task models in the monograph are supplemented with many animated images, where you can see the research process.\r\nAlso, the tasks have an implementation in a computer mathematics system and can be transferred to virtual reality systems if necessary."},{"$a":"Pursuer, target, trajectory, modeling, pursuit, parallel approach, surface, projecting plane."},{"$a":"10.29039\/02102-6"}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Krasovskiy, N.N. Pozicionnye differencial'nye igry\/ N.N. Krasovskiy, A.I. Subbotin. \u00e2\u0080\u0093 M.: Fizmatlit, 1974. \u00e2\u0080\u0093 456 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Petrosyan, L.A. 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Conf. on the Theory and Application of Dierential Games. Amherst, Massachusetts \u00e2\u0080\u0093 1969. - P. III-1 \u00e2\u0080\u0093 III-5."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Merz, A. W. The homicidal chauffer - a differential game \/ A. W. Merz \/\/ PhD thesis. Stanford University \u00e2\u0080\u0093 1971."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Lewin, J. Decoy in pursuit-evasion games\/ J. Lewin\/\/ PhD Thesis. Stanford University \u00e2\u0080\u0093 1973."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Lewin, J. The surveillance-evasion game of degree\/ J. Lewin, J. V. Breakwell\/\/ J. Opt. Theory Appl. \u00e2\u0080\u0093 1975. \u00e2\u0080\u0093 16 (34) \u00e2\u0080\u0093 P. 339-353."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Lewin, J. Conic surveillance evasion\/ J. Lewin, G. J. Olsder\/\/ J. Opt. Theory Appl. \u00e2\u0080\u0093 1979. \u00e2\u0080\u0093 27 (1) \u00e2\u0080\u0093 P. 107-125."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Cardaliaguet P. Numerical methods for optimal control and dierential games\/ P. Cardaliaguet, M. Quincampoix, P. Saint-Pierre\/\/ Ceremade CNRS URA 749 \u00e2\u0080\u0093 1995."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Cardaliaguet P. Set-valued numerical analysis for optimal control and dierential games \/ P. Cardaliaguet, M. Quincampoix, P. Saint-Pierre\/\/ Theory and Numerical Methods \u00e2\u0080\u0093 Springer: Berlin \u00e2\u0080\u0093 1999. \u00e2\u0080\u0093 P. 177-247."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Dubins, L. E. On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents\/ L. E. Dubins\/\/ Amer. J. Math. \u00e2\u0080\u0093 1957. \u00e2\u0080\u0093 79 \u00e2\u0080\u0093 P. 497-516."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Reeds, J. A. Optimal paths for a car that goes both forwards and backwards\/ J. A. Reeds, L. A. Shepp\/\/ Pacic J. Math. \u00e2\u0080\u0093 1990. \u00e2\u0080\u0093 145 (2) \u00e2\u0080\u0093 P. 367-393."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Berdyshev, Yu.I. Ob optimal'nom po bystrodeystviyu upravlenii obobschennoy mashinoy Dubinsa\/ Yu.I. Berdyshev\/\/ Tr. IMM UrO RAN \u00e2\u0080\u0093 2016. \u00e2\u0080\u0093 22 (1) \u00e2\u0080\u0093 S. 26-35."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Pontryagin, L.S. Princip maksimuma v optimal'nom upravlenii\/ M.: Nauka, 1989. \u00e2\u0080\u0093 64 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Bellman, R. Prikladnye zadachi dinamicheskogo programmirovaniya\/ R. Bellman, S. Dreyfus. - M.: Nauka, 1965. \u00e2\u0080\u0093 460 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Kan, V. L. Teoriya proporcional'noy navigacii\/ V.L. Kan, A.S. Kel'zon. \u00e2\u0080\u0093 Leningrad: Sudostroenie, 1965. \u00e2\u0080\u0093 423 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Sozinov, P.A. Kinematicheskiy analiz metodov proporcional'noy navigacii primenitel'no k navedeniyu zenitnoy upravlyaemoy rakety na ballisticheskuyu cel'\/ P.A. Sozinov, B. N. Gorevich \/\/ Vestnik koncerna VKO \u00c2\u00abAlmaz - Antey\u00c2\u00bb - 2022. \u00e2\u0080\u0093 2 \u00e2\u0080\u0093 S. 74-92."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Krineckiy, E.I. Sistemy samonavedeniya\/ E.I. Krineckiy. \u00e2\u0080\u0093 M.: Mashinostroenie, 1970. \u00e2\u0080\u0093 236 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Mizrohi, V. Ya. Proektirovanie upravleniya zenitnyh raket\/ V.Ya. 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Gorevich. \u00e2\u0080\u0093 M.: PAO \u00c2\u00abNPO \u00c2\u00abAlmaz\u00c2\u00bb, 2020. \u00e2\u0080\u0093 351 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Pan'kov, S.Ya. Teoriya i metodika upravleniya aviaciey: ucheb. Posobie. V 2 ch.\/ S.Ya. Pan'kov, Yu.E. Zaburaev, A.M. Matveev. \u00e2\u0080\u0093 Ul'yanovsk: UVAU GA, 2006. \u00e2\u0080\u0093 371 s."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Lenov, N.. Zenitnye raketnye kompleksy VVS stran NATO\/ N. Lenov, V. Viktorov\/\/ Zarubezhnoe voennoe obozrenie. \u00e2\u0080\u0094 M.: \u00c2\u00abKrasnaya Zvezda\u00c2\u00bb, 1975. \u00e2\u0080\u00942. \u00e2\u0080\u0094 S. 61\u00e2\u0080\u009466."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Demidov V. Sovershenstvovanie sistem ZURO v kapitalisticheskih stranah\/ V. Demidov, N. Kutyev\/\/ Zarubezhnoe voennoe obozrenie. \u00e2\u0080\u0094 M.: \u00c2\u00abKrasnaya Zvezda\u00c2\u00bb, 1975. \u00e2\u0080\u0094 \u00e2\u0084\u0096 5. \u00e2\u0080\u0094 S. 52\u00e2\u0080\u009457."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Dubinkin, E. Razrabotka i proizvodstvo zenitnogo vooruzheniya Armii SShA\/ E. Dubinkin, S. Pryadilov\/\/ Zarubezhnoe voennoe obozrenie. \u00e2\u0080\u0094 M.: \u00c2\u00abKrasnaya Zvezda\u00c2\u00bb, 1983. \u00e2\u0080\u0094 \u00e2\u0084\u0096 3. \u00e2\u0080\u0094 S. 30\u00e2\u0080\u009434."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Abramyanc, T.G. Uklonenie podvizhnyh ob'ektov ot obnaruzheniya na ploskosti i v prostranstve\/ T.G. Abramyanc, E.P. Maslov, V.P. Yahno\/\/ Problemy upravleniya. \u00e2\u0080\u0093 2008. - \u00e2\u0084\u0096 3. \u00e2\u0080\u0093 S. 2-13."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Galyaev, A.A. Uklonenie podvizhnogo ob'ekta ot odinochnogo obnaruzhitelya na zadannoy skorosti\/ A.A. Galyaev, P.V. Lysenko, V.P. Yahno\/\/ Problemy upravleniya. \u00e2\u0080\u0093 2020. - \u00e2\u0084\u0096 1. \u00e2\u0080\u0093 S. 83-91."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Galyaev A.A. Zadacha ukloneniya ot podvizhnogo odinochnogo nablyudatelya na ploskosti v konfliktnoy srede\/ A.A. Galyaev\/\/ Avtomatika i telemehanika. \u00e2\u0080\u0094 2014. \u00e2\u0080\u0094 \u00e2\u0084\u0096 6. \u00e2\u0080\u0094 S. 28\u00e2\u0080\u009437. [Galyaev, A.A. Evasion on Plane from a Single Mobile Observer in the Conflict Environment \/\/ Automation and Remote Control. \u00e2\u0080\u0094 2014. \u00e2\u0080\u0094 Vol. 75, no. 6. \u00e2\u0080\u0094 P. 1017\u00e2\u0080\u00941024.]"}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Andreev K.V., Rubinovich E.Ya. Traektornoe upravlenie nablyudatelem\/ K.V. Andreev, E.Ya. Rubinovich \/\/ Avtomatika i telemehanika. \u00e2\u0080\u0094 2016. \u00e2\u0080\u0094 \u00e2\u0084\u0096 1. \u00e2\u0080\u0094 S. 134\u00e2\u0080\u0094162. [Andreev, K.V., Rubinovich, E.Ya. \/\/ Moving observer trajectory control by angular measurements in tracking problem \/\/ Automation and Remote Control. \u00e2\u0080\u0094 2016. \u00e2\u0080\u0094 Vol. 77, no. 1. \u00e2\u0080\u0094 P. 106\u00e2\u0080\u0094129.]"}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Shevchenko, I.I. Successive Pursuit with a Bounded Detection \/ I.I. Shevchenko\/\/ Journal of Opt. Theory and Appl. \u00e2\u0080\u0094 1997. \u00e2\u0080\u0094 Vol. 95. \u00e2\u0080\u0094 N 1. \u00e2\u0080\u0094 P. 25\u00e2\u0080\u009448."}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Video, rezul'taty modelirovaniya zadachi presledovaniya. URL: https:\/\/www.youtube.com\/watch?v=C7imOTjEgQQ (data obrascheniya: 9.07.2022)"}]}},{"510":{"ind1":"0","ind2":"#","subfields":[{"$a":"Video, rezul'taty modelirovaniya zadachi presledovaniya. 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