Abstract
Results of solution of optimization problems of a mobile object evasion at constant and variable velocities from detection by an immobile observers are presented.
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M. Zabarankin, S. Uryasev, and P. Pardalos, “Optimal Risk Path Algorithms,” in: Cooperative Control and Optimization, Ch. 1, Eds. R. Murphey and P. Pardalos (Kluwer, Dordrecht, 2002), pp. 271–303.
L. S. Pachter and M. Pachter, “Optimal Paths for Avoiding a Radiating Source,” in: Proceedings of 40th IEEE Conference on Design and Control (2001), pp. 3581–3586.
S. Meguerdichian, F. Koushanfar, G. Qu, et al., “Exposure in Wireless Ad-hoc Sensor Networks,” in: Proceedings of 7th International Conference MobiCom’01, 2001, pp. 139–150.
G. Veltri, Q. Huang, G. Qu, et al., “Minimal and Maximal Exposure Path Algorithms for Wireless Embedded Sensor Networks,” in: Proceedings of International Conference on Sensor Systems, SenSys’03, 2003, pp. 242–249.
A. N. Voronin, A. G. Yasinskii, and S. A. Shvorov, “Synthesis of Compromise-Optimal Trajectories of Mobile Robots in Conflict Environments,” Probl. Upr. Inform., No. 2, 12–18 (2002).
A. A. Galyaev, E. P. Maslov, and E. A. Rubinovich, “On a Motion Control Problem for an Object in a Conflict Environment,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 3, 134–140 (2009) [Comp. Syst. Sci. 48 (3), 458–464 (2009)].
M. L. Krasnov, G. I. Makarenko, and A. I. Kiselev, Variational Calculus (Nauka, Moscow, 1973).
V. S. Burdik, Analysis of Hydroacoustic Systems (Nauka, Leningrad, 1988).
R. J. Urick, Principles of Underwater Sounds (McGraw-Hill, New York 1975; Sudostroenie, Leningrad, 1978).
J. L. Nowinski, Applications of Functional Analysis in Engineering (Plenum, New-York, 1981).
A. A. Galyaev, “On the Detection Functional in Motion of an Object in a Threat Environment,” Autom. Telemekh., 71(4), 100–105 (2010) [Automat. Remote Control 71 (4), 634–639 (2010)].
T. G. Abramyants and E. P. Maslov, “A Differential Game of Pursuit of a Multiple Target,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 16–22 (2004) [Comp. Syst. Sci. 43 (5), 674–680 (2004)].
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “A Game Multiple Target Evasion Problem in a Three-Dimensional Space,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 62–65 (2005) [Comp. Syst. Sci. 44 (5), 728–731 (2005)].
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “Evasion from Detection in the Three-Dimensional Space,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 5–10 (2007) [Comp. Syst. Sci. 46 (5), 675–680 (2007)].
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Original Russian Text © A.A. Galyaev, E.P. Maslov, 2010, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2010, No. 4, pp. 52–62.
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Galyaev, A.A., Maslov, E.P. Optimization of a mobile object evasion laws from detection. J. Comput. Syst. Sci. Int. 49, 560–569 (2010). https://doi.org/10.1134/S1064230710040064
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DOI: https://doi.org/10.1134/S1064230710040064