Geodesic
Trajectory optimality conditions for moving object with nonuniform radiation pattern
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 95-98 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of optimal trajectory planning for a moving object with a nonuniform radiation pattern is considered and analytically solved as a variational problem. The object tries to evade detection by a search system consisting of a single sensor. Necessary and sufficient conditions for trajectory optimality are obtained. Analytical expressions for optimal trajectories, the velocity law, and the integral risk of detection on optimal trajectories are derived.
Keywords: path planning, necessary and sufficient conditions of optimality, radiation pattern. 
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     author = {A. A. Galyaev and P. V. Lysenko and V. P. Yahno},
     title = {Trajectory optimality conditions for moving object with nonuniform radiation pattern},
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A. A. Galyaev; P. V. Lysenko; V. P. Yahno. Trajectory optimality conditions for moving object with nonuniform radiation pattern. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 95-98. http://geodesic.mathdoc.fr/item/DANMA_2020_493_a18/

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