Edit Profile (opens in new tab) Lebedev, Pavel Dmitrievich Co-Author Distance Author ID: lebedev.pavel-dmitrievich Published as: Lebedev, P. D.; Lebedev, Pavel Dmitrievich; Lebedev, Pavel D.; Lebedev, Pavel more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 46 Publications since 2001 Co-Authors: 18 Co-Authors with 39 Joint Publications 170 Co-Co-Authors all top 5 Co-Authors 1 single-authored 16 Ushakov, Vladimir Nikolaevich 13 Uspenskiĭ, Aleksandr Aleksandrovich 3 Guseinov, Khalik G. 3 Kazakov, Aleksandr Leonidovich 3 Latushkin, Yaroslav A. 2 Krasovskii, Andrey Arsenevich 2 Lavrov, Nikita Georgievich 2 Lempert, Anna Anan’evna 2 Matviĭchuk, Aleksandr Rostislavovich 2 Taras’ev, Aleksandr Mikhaĭlovich 2 Ushakov, Andreĭ Vladimirovich 1 Borshchev, Andrei V. 1 Bukharov, Dmitrij Sergeevich 1 Karpov, Yu. G. 1 Kuvshinov, Oleg Aleksandrovich 1 Lakhtin, Alexey S. 1 Malev, A. G. 1 Stoĭchin, Krasimir Lyudmilov all top 5 Serials 8 Proceedings of the Steklov Institute of Mathematics 7 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 4 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Automation and Remote Control 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 YUJOR. Yugoslav Journal of Operations Research 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Ural Mathematical Journal 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Fields 21 Calculus of variations and optimal control; optimization (49-XX) 16 Convex and discrete geometry (52-XX) 11 Partial differential equations (35-XX) 7 Operations research, mathematical programming (90-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 95 times in 42 Documents Cited by ▼ Year ▼ Construction of a minimax solution for an eikonal-type equation. Zbl 1185.35058 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 15 2008 Construction of the optimal outcome function for a time-optimal problem on the basis of a symmetry set. Zbl 1206.49052 Uspenskii, A. A.; Lebedev, P. D. 10 2009 On the set of limit values of local diffeomorphisms in wavefront evolution. Zbl 1228.35090 Uspenskii, A. A.; Lebedev, P. D. 8 2011 Geometry and asymptotics of wavefronts. Zbl 1171.53006 Lebedev, P. D.; Uspenskii, A. A. 7 2008 Optimization of the Hausdorff distance between sets in Euclidean space. Zbl 1338.49070 Ushakov, V. N.; Lakhtin, A. S.; Lebedev, P. D. 7 2015 Identification of the singularity of the generalized solution of the Dirichlet problem for an eikonal type equation under the conditions of minimal smoothness of a boundary set. Zbl 1402.35011 Uspenskii, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich 6 2018 Analytical and numerical construction of the optimal outcome function for a class of time-optimal problems. Zbl 1177.65093 Lebedev, P. D.; Uspenskii, A. A. 5 2008 Algorithms for the construction of an optimal cover for sets in three-dimensional Euclidean space. Zbl 1385.90024 Ushakov, V. N.; Lebedev, P. D. 5 2016 Algorithms of the best approximations of the flat sets by the union of circles. Zbl 1299.49069 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 5 2013 Approximating sets on a plane with optimal sets of circles. Zbl 1307.93110 Lebedev, P. D.; Ushakov, A. V. 5 2012 Algorithms for constructing optimal \(n\)-networks in metric spaces. Zbl 1373.93092 Kazakov, A. L.; Lebedev, P. D. 4 2017 Algorithms of optimal packing construction in ellipse. Zbl 1458.52007 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich; Lavrov, Nikita Georgievich 4 2017 Algorithms of optimal set covering on the planar \(\mathbb{R}^2\). Zbl 1367.52015 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 4 2016 Construction of a solution to a velocity problem in the case of violation of the smoothness of the curvature of the target set boundary. Zbl 1452.49009 Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich 4 2019 Construction of scattering curves in one class of time-optimal control problems with leaps of a target set boundary curvature. Zbl 1458.35130 Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich 3 2020 Procedures for calculating the nonconvexity measures of a plane set. Zbl 1224.52022 Lebedev, P. D.; Uspenskii, A. A 2 2009 Iterative methods for minimization of the Hausdorff distance between movable polygons. Zbl 1376.49039 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 2 2017 On the coincidence of maximal stable bridges in two approach game problems for stationary control systems. Zbl 1303.91044 Ushakov, V. N.; Guseinov, K. G.; Latushkin, Ya. A.; Lebedev, P. D. 2 2010 Approximation of polygons with the best set of circles. Zbl 1297.41011 Lebedev, Pavel Dmitrievich; Bukharov, Dmitrij Sergeevich 1 2013 Differential games with fixed terminal time and estimation of the instability degree of sets in these games. Zbl 1297.49069 Ushakov, V. N.; Lebedev, P. D.; Matviychuk, A. R.; Malev, A. G. 1 2012 The construction of singular curves for generalized solutions of eikonal-type equations with a curvature break in the boundary of the edge set. Zbl 1375.35087 Uspenskii, A. A.; Lebedev, P. D. 1 2017 A variant of a metric for unbounded convex sets. Zbl 1331.49065 Lebedev, P. D.; Ushakov, V. N. 1 2013 Bernoulli substitution in the Ramsey model: optimal trajectories under control constraints. Zbl 1373.49024 Krasovskii, A. A.; Lebedev, P. D.; Tarasyev, A. M. 1 2017 Algorithms for constructing suboptimal coverings of plane figures with disks in the class of regular lattices. Zbl 1516.11073 Lebedev, Pavel Dmitrievich; Kuvshinov, Oleg Aleksandrovich 1 2023 Algorithms of optimal covering of 2D sets with dynamical metrics. Zbl 1505.52018 Lebedev, Pavel Dmitrievich; Lempert, Anna Anan’evna; Kazakov, Aleksandr Leonidovich 1 2022 On covering bounded sets by collections of circles of various radii. Zbl 1444.90076 Kazakov, Aleksandr Leonidovich; Lebedev, Pavel Dmitrievich; Lempert, Anna Anan’evna 1 2020 On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set. Zbl 1499.32049 Uspenskiĭ, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich 1 2021 Iterative methods for approximations constructing of optimal covering for nonconvex plane sets. Zbl 1470.52019 Lebedev, P. D. 1 2019 Properties of non stationer pseudo vertex with the break of smoothness of the target set boarder curvature in the Dirichlet problem to eikonal type equation. Zbl 1479.35229 Lebedev, P. D.; Uspenskii, A. A. 1 2020 Algorithms for constructing suboptimal coverings of plane figures with disks in the class of regular lattices. Zbl 1516.11073 Lebedev, Pavel Dmitrievich; Kuvshinov, Oleg Aleksandrovich 1 2023 Algorithms of optimal covering of 2D sets with dynamical metrics. Zbl 1505.52018 Lebedev, Pavel Dmitrievich; Lempert, Anna Anan’evna; Kazakov, Aleksandr Leonidovich 1 2022 On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set. Zbl 1499.32049 Uspenskiĭ, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich 1 2021 Construction of scattering curves in one class of time-optimal control problems with leaps of a target set boundary curvature. Zbl 1458.35130 Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich 3 2020 On covering bounded sets by collections of circles of various radii. Zbl 1444.90076 Kazakov, Aleksandr Leonidovich; Lebedev, Pavel Dmitrievich; Lempert, Anna Anan’evna 1 2020 Properties of non stationer pseudo vertex with the break of smoothness of the target set boarder curvature in the Dirichlet problem to eikonal type equation. Zbl 1479.35229 Lebedev, P. D.; Uspenskii, A. A. 1 2020 Construction of a solution to a velocity problem in the case of violation of the smoothness of the curvature of the target set boundary. Zbl 1452.49009 Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich 4 2019 Iterative methods for approximations constructing of optimal covering for nonconvex plane sets. Zbl 1470.52019 Lebedev, P. D. 1 2019 Identification of the singularity of the generalized solution of the Dirichlet problem for an eikonal type equation under the conditions of minimal smoothness of a boundary set. Zbl 1402.35011 Uspenskii, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich 6 2018 Algorithms for constructing optimal \(n\)-networks in metric spaces. Zbl 1373.93092 Kazakov, A. L.; Lebedev, P. D. 4 2017 Algorithms of optimal packing construction in ellipse. Zbl 1458.52007 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich; Lavrov, Nikita Georgievich 4 2017 Iterative methods for minimization of the Hausdorff distance between movable polygons. Zbl 1376.49039 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 2 2017 The construction of singular curves for generalized solutions of eikonal-type equations with a curvature break in the boundary of the edge set. Zbl 1375.35087 Uspenskii, A. A.; Lebedev, P. D. 1 2017 Bernoulli substitution in the Ramsey model: optimal trajectories under control constraints. Zbl 1373.49024 Krasovskii, A. A.; Lebedev, P. D.; Tarasyev, A. M. 1 2017 Algorithms for the construction of an optimal cover for sets in three-dimensional Euclidean space. Zbl 1385.90024 Ushakov, V. N.; Lebedev, P. D. 5 2016 Algorithms of optimal set covering on the planar \(\mathbb{R}^2\). Zbl 1367.52015 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 4 2016 Optimization of the Hausdorff distance between sets in Euclidean space. Zbl 1338.49070 Ushakov, V. N.; Lakhtin, A. S.; Lebedev, P. D. 7 2015 Algorithms of the best approximations of the flat sets by the union of circles. Zbl 1299.49069 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 5 2013 Approximation of polygons with the best set of circles. Zbl 1297.41011 Lebedev, Pavel Dmitrievich; Bukharov, Dmitrij Sergeevich 1 2013 A variant of a metric for unbounded convex sets. Zbl 1331.49065 Lebedev, P. D.; Ushakov, V. N. 1 2013 Approximating sets on a plane with optimal sets of circles. Zbl 1307.93110 Lebedev, P. D.; Ushakov, A. V. 5 2012 Differential games with fixed terminal time and estimation of the instability degree of sets in these games. Zbl 1297.49069 Ushakov, V. N.; Lebedev, P. D.; Matviychuk, A. R.; Malev, A. G. 1 2012 On the set of limit values of local diffeomorphisms in wavefront evolution. Zbl 1228.35090 Uspenskii, A. A.; Lebedev, P. D. 8 2011 On the coincidence of maximal stable bridges in two approach game problems for stationary control systems. Zbl 1303.91044 Ushakov, V. N.; Guseinov, K. G.; Latushkin, Ya. A.; Lebedev, P. D. 2 2010 Construction of the optimal outcome function for a time-optimal problem on the basis of a symmetry set. Zbl 1206.49052 Uspenskii, A. A.; Lebedev, P. D. 10 2009 Procedures for calculating the nonconvexity measures of a plane set. Zbl 1224.52022 Lebedev, P. D.; Uspenskii, A. A 2 2009 Construction of a minimax solution for an eikonal-type equation. Zbl 1185.35058 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 15 2008 Geometry and asymptotics of wavefronts. Zbl 1171.53006 Lebedev, P. D.; Uspenskii, A. A. 7 2008 Analytical and numerical construction of the optimal outcome function for a class of time-optimal problems. Zbl 1177.65093 Lebedev, P. D.; Uspenskii, A. A. 5 2008 all cited Publications top 5 cited Publications all top 5 Cited by 30 Authors 20 Lebedev, Pavel Dmitrievich 11 Uspenskiĭ, Aleksandr Aleksandrovich 7 Ushakov, Vladimir Nikolaevich 4 Kazakov, Aleksandr Leonidovich 4 Lempert, Anna Anan’evna 3 Alimov, Alexey R. 2 Lakhtin, Alexey S. 2 Taras’ev, Aleksandr Mikhaĭlovich 2 Tsar’kov, Igor’ Germanovich 1 Arystanbekov, B. M. 1 Bukharov, Dmitrij Sergeevich 1 Danilov, Dmitry I. 1 Ege, Nihal 1 Huseyin, Anar 1 Huseyin, Nesir 1 Kamneva, Liudmila 1 Krasovskii, Andrey Arsenevich 1 Krasovskii, Nikolay A. 1 Kuvshinov, Oleg Aleksandrovich 1 Lavrov, Nikita Georgievich 1 Le, Quang Mung 1 Lebedev, Pabel Dmitrievich 1 Malev, A. G. 1 Melnikov, Nikolai B. 1 Nguyen, Giang Linh Duc 1 Panasenko, Elena Aleksandrovna 1 Sidorov, Denis Nikolaevich 1 Smirnov, Sergeĭ Nikolaevich 1 Stoĭchin, Krasimir Lyudmilov 1 Zhukov, Aleksei Vitalevich all top 5 Cited in 20 Serials 8 Proceedings of the Steklov Institute of Mathematics 4 Automation and Remote Control 4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 YUJOR. Yugoslav Journal of Operations Research 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Ural Mathematical Journal 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of Dynamical and Control Systems 1 Differential Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Set-Valued and Variational Analysis 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 21 Fields 14 Calculus of variations and optimal control; optimization (49-XX) 10 Partial differential equations (35-XX) 10 Operations research, mathematical programming (90-XX) 9 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year