A trajectory in \(\mathbb{R}^3\) concealed from observers. (English. Russian original) Zbl 1377.49026
Proc. Steklov Inst. Math. 297, Suppl. 1, S27-S34 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 47-54 (2016).
Summary: In the problem of tracking an object moving in \(\mathbb{R}^3\) by observers, the most concealed trajectory is characterized under the condition that the object is at any time visible to at most two observers.
MSC:
| 49K35 | Optimality conditions for minimax problems |
References:
| [1] | V. I. Berdyshev, “Concealment characteristics for a moving object,” Trudy Inst. Mat. Mekh. UrO RAN 18 (4), 110-119 (2012). |
| [2] | V. I. Berdyshev, “A moving object and observers in R2 with a piecewise smooth shading set,” Proc. Steklov Inst. Math. 296 (Suppl. 1), S95-S101 (2017). · Zbl 1380.49026 · doi:10.1134/S0081543817020092 |
| [3] | V. I. Berdyshev, “A moving object and observers,” Dokl. Math. 92 (2), 643-645 (2015). · Zbl 1338.49049 · doi:10.1134/S1064562415050178 |
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