Abstract
In the problem of evading a rotating detection zone on a plane, optimal evasion trajectories and the boundary of a set of initial locations of the target from which the evasion is impossible are found.
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References
P. M. Orrenius, “Illegal immigration and enforcement along the U.S.-Mexico Border: An Overview,” Economic Financial Rev. 22, 141–173 (2001).
R. Szechtman, M. Kress, R. Lin, et al., “Models of sensor operations for border surveillance,” Naval Research Logistics 55(3), 27–41 (2008).
A. R. Girard, A. S. Howell, and J. K. Hedrick, “Border patrol and surveillance missions using multiple unmanned air vehicles,” in Proc. IEEE Conf. on Decision and Control, 620–625 (2004).
M. N. Ivanov and E. P. Maslov, “Evading a rotating detection zone,” Avtom. Telemekh., No. 6, 30–37 (1992).
M. N. Ivanov and E. P. Maslov, “A problem of avoidance of rotating segment,” Computers Math. Appl. 26(6), 67–75 (1993).
T. G. Abramyants and E. P. Maslov, “A differential game of pursuit of a multiple target,” J. Comput. Syst. Sci. Int. 43, 674–680 (2004).
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “A game multiple target evasion problem in a three-dimensional space,” J. Comput. Syst. Sci. Int. 44, 728–731 (2005).
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “Evasion from detection in the three-dimensional space,” J. Comput. Syst. Sci. Int. 46, 675–680 (2007).
A. A. Galyaev, E. P. Maslov, and E. Ya. Rubinovich, “On a motion control problem for an object in a conflict environment,” J. Comput. Syst. Sci. Int. 48, 458–464 (2009).
A. A. Galyaev and E. P. Maslov, “Optimization of a mobile object evasion laws from detection,” J. Comput. Syst. Sci. Int. 49, 560–569 (2010).
M. E. Shaikin, “On statistical risk functional in a control problem for an object moving in a conflict environment,” J. Comput. Syst. Sci. Int. 50, 20–29 (2011).
A. A. Galyaev and E. P. Maslov, “On the border patrolling problem,” J. Comput. Syst. Sci. Int. 50, 837–846 (2011).
A. A. Galyaev and E. P. Maslov, “Patrolling a barrier with a network of mobile sensors,” J. Comput. Syst. Sci. Int. 52, 326–332 (2013).
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Original Russian Text © A.A. Galyaev, E.P. Maslov, 2013, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2013, No. 3, pp. 51–59.
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Galyaev, A.A., Maslov, E.P. Evading a rotating detection zone on a plane. J. Comput. Syst. Sci. Int. 52, 377–385 (2013). https://doi.org/10.1134/S1064230713030076
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DOI: https://doi.org/10.1134/S1064230713030076