Edit Profile (opens in new tab) Ushakov, Vladimir Nikolaevich Co-Author Distance Author ID: ushakov.vladimir-nikolaevich Published as: Ushakov, V. N.; Ushakov, Vladimir Nikolaevich; Ushakov, Vladimir N.; Ushakov, Vladimir more...less External Links: ORCID · Wikidata · Math-Net.Ru Documents Indexed: 151 Publications since 1972 5 Contributions as Editor · 1 Further Contribution Co-Authors: 94 Co-Authors with 142 Joint Publications 1,450 Co-Co-Authors all top 5 Co-Authors 8 single-authored 18 Ershov, Aleksandr Anatol’evich 16 Lebedev, Pavel Dmitrievich 16 Taras’ev, Aleksandr Mikhaĭlovich 15 Ushakov, Andreĭ Vladimirovich 14 Matviĭchuk, Aleksandr Rostislavovich 12 Chentsov, Aleksandr Georgievich 9 Latushkin, Yaroslav A. 7 Malev, A. G. 7 Ukhobotov, Viktor Ivanovich 6 Guseinov, Khalik G. 6 Gusejnov, Kh. G. 6 Parshikov, Grigoriĭ Virktorovich 6 Subbotin, Andreĭ Izmaĭlovich 6 Uspenskiĭ, Aleksandr Aleksandrovich 5 Brykalov, Sergeĭ Arkad’evich 5 Khripunov, A. P. 4 Krasovskiĭ, Nikolaĭ Nikolaevich 3 Berdyshev, Vitaliĭ Ivanovich 3 Grigor’eva, S. V. 3 Makhnëv, Aleksandr Alekseevich 3 Mikhalev, D. K. 3 Neznakhin, A. A. 3 Pershakov, Maksim Vadimovich 3 Petrov, Nikolaĭ Nikandrovich 3 Popova, Svetlana Nikolaevna 3 Reshetov, V. M. 3 Subbotina, Nina N. 2 Baidosov, I. V. 2 Derr, Vasiliĭ Yakovlevich 2 Grigorieva, Svetlana V. 2 Gryzlov, Anatoliĭ Aleksandrovich 2 Izmest’ev, Igor’ Vyacheslavovich 2 Izobov, Nikolaĭ Alekseevich 2 Karpov, Aleksandr Ivanovich 2 Khachay, Mikhail Yur’evich 2 Kryazhimskiĭ, Arkadiĭ Viktorovich 2 Kurzhanskiĭ, Aleksandr Borisovich 2 Kuvshinov, Oleg Aleksandrovich 2 Lakhtin, Alexey S. 2 Maksimov, Vyacheslav Ivanovich 2 Matveev, Sergeĭ Vladimirovich 2 Merzlyakova, G. V. 2 Pakhotinskikh, V. Yu. 2 Patsko, Valerii S. 2 Rozov, Nikolaĭ Khristovich 2 Subbotin, Yuriĭ Nikolaevich 2 Tokmantsev, Timofeĭ Borisovich 2 Tonkov, Evgenii Leonidovich 2 Ushakova, Alexandra P. 2 Vasil’eva, Ekaterina Vladimirovna 2 Vasin, Vladimir Vasil’evich 2 Zimovets, Artem Anatol’evich 1 Akyar, Emrah 1 Anan’ev, Boris Ivanovich 1 Anan’ina, T. F. 1 Babalev, T. Kh. 1 Baĭdosov, Vyacheslav Aleksandrovich 1 Bajbazarov, M. 1 Borisov, Alekseĭ Vladimirovich 1 Eremeev, Anton Valentinovich 1 Eremin, Ivan Ivanovich 1 Gaĭshun, Ivan Vasil’evich 1 Grigorjeva, Svetlana V. 1 Gusev, Mikhail Ivanovich 1 Huseyin, Nesir 1 Il’in, Arlen Mikhaĭlovich 1 Il’in, Vladimir Aleksandrovich 1 Ivanov, Viktor A. 1 Kabanov, Vladislav Vladimirovich 1 Kazakov, Aleksandr Leonidovich 1 Kibardin, M. M. 1 Kleĭmenov, Anatoliĭ Fëdorovich 1 Kotel’nikova, A. N. 1 Kreknin, A. A. 1 Latypova, Natal’ya Vladimirovna 1 Lavrov, Nikita Georgievich 1 Lipin, Anton Evgen’evich 1 Makarov, Evgeniĭ Konstantinovich 1 Moiseev, Aleksandr Nikolaevich 1 Nikonov, Oleg I. 1 Osipov, Yuriĭ Sergeevich 1 Ozer, Orhan 1 Pakhotonsky, V. Yu. 1 Pishchulina, I. Ya. 1 Plakhina, L. A. 1 Sergeev, Igor’ Nikolaevich 1 Shemyakina, Tamara Kuz’minichna 1 Solomatin, A. M. 1 Spesivtsev, L. V. 1 Subbottin, A. I. 1 Tolstonogov, Aleksandr Aleksandrovich 1 Tonkov, Leonid Evgen’evich 1 Ushakov, Nikolaĭ Georgievich 1 Uspenskii, A. S. 1 Uspenskij, A. A. 1 Vakhrushev, V. A. 1 Vdovin, S. A. 1 Zaitsev, Vasilii Alexandrovich 1 Zavarin, A. B. all top 5 Serials 25 Proceedings of the Steklov Institute of Mathematics 14 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 10 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 8 Journal of Applied Mathematics and Mechanics 8 Prikladnaya Matematika i Mekhanika 7 Doklady Mathematics 6 Journal of Mathematical Sciences (New York) 5 Journal of Computer and Systems Sciences International 4 Differential Equations 4 Sbornik: Mathematics 4 Matematicheskaya Teoriya Igr i eë Prilozheniya 3 Differential Equations 2 Soviet Mathematics. Doklady 2 Computational Mathematics and Mathematical Physics 2 Automation and Remote Control 2 Izvestiya Ural’skogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Mathematical Notes 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Differentsial’nye Uravneniya 1 The Fibonacci Quarterly 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Engineering Cybernetics 1 YUJOR. Yugoslav Journal of Operations Research 1 Problems of Control and Information Theory 1 Topological Methods in Nonlinear Analysis 1 Trudy Instituta Matematiki i Mekhaniki 1 Congressus Numerantium 1 NoDEA. Nonlinear Differential Equations and Applications 1 Functional Differential Equations 1 Nova Journal of Mathematics, Game Theory, and Algebra 1 Optimization Methods & Software 1 International Game Theory Review 1 Lecture Notes in Economics and Mathematical Systems 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 1 Ural Mathematical Journal 1 Mechanics of Solids all top 5 Fields 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 60 Systems theory; control (93-XX) 21 Ordinary differential equations (34-XX) 16 Convex and discrete geometry (52-XX) 11 Numerical analysis (65-XX) 10 History and biography (01-XX) 7 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 416 times in 237 Documents Cited by ▼ Year ▼ Derivatives for multivalued mappings with applications to game- theoretical problems of control. Zbl 0593.90095 Guseĭnov, H. G.; Subbotin, A. I.; Ushakov, V. N. 31 1985 Extremal strategies in differential games with integral constraints. Zbl 0254.90078 Ushakov, V. N. 26 1972 The approximation of reachable sets of control systems with integral constraint on controls. Zbl 1141.93010 Guseinov, K. G.; Ozer, O.; Akyar, E.; Ushakov, V. N. 22 2007 Alternative for an encounter-evasion differential game with integral constraints on the players’ controls. Zbl 0363.90135 Subbotin, A. I.; Ushakov, V. N. 17 1975 On the problem of constructing stable bridges in a differential game of approach and avoidance. Zbl 0467.90098 Ushakov, V. N. 15 1980 Construction of a minimax solution for an eikonal-type equation. Zbl 1185.35058 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 15 2008 On a computational algorithm for solving game control problems. Zbl 0653.90108 Taras’ev, A. M.; Ushakov, V. N.; Khripunov, A. P. 14 1987 On approximate construction of solutions in game-theoretic control problems. Zbl 0881.90148 Ushakov, V. N.; Khripunov, A. P. 12 1997 Approximations of attainability sets and of integral funnels of differential inclusions. Zbl 1299.35077 Ushakov, V. N.; Matviichuk, A. R.; Ushakov, A. V. 12 2011 An approach problem for a control system with an unknown parameter. Zbl 1381.93036 Ershov, Aleksandr A.; Ushakov, Vladimir N. 10 2017 Construction of an attainability set for the Brockett integrator. Zbl 1106.49035 Vdovin, S. A.; Taras’ev, A. M.; Ushakov, V. N. 10 2004 On the solution of control problems with fixed terminal time. Zbl 1371.49021 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich 10 2016 On solving approach problems for control systems. Zbl 1333.93046 Ushakov, V. N.; Ukhobotov, V. I.; Ushakov, A. V.; Parshikov, G. V. 9 2015 Two algorithms for approximate construction of the set of positional absorption in the game problem of pursuit. Zbl 1147.49032 Mikhalev, D. K.; Ushakov, V. N. 8 2007 \(\alpha\)-sets in finite dimensional Euclidean spaces and their properties. Zbl 1365.52008 Ushakov, Vladimir Nikolaevich; Uspenskiĭ, Aleksandr Aleksandrovich 8 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 On the construction of resolving controls in control problems with phase constraints. Zbl 1260.93019 Matviychuk, A. R.; Ushakov, V. N. 7 2006 The stability defect of sets in game control problems. Zbl 1125.49030 Ushakov, V. N.; Latushkin, Ya. A. 6 2006 The approximation of reachable domains of control systems. Zbl 0966.93019 Gusejnov, Kh. G.; Moiseev, A. N.; Ushakov, V. N. 6 1998 A discrete method for constructing an approximate viability kernel of a differential inclusion. Zbl 1023.93039 Neznakhin, A. A.; Ushakov, V. N. 6 2001 Construction of solutions in some differential games with phase constraints. Zbl 1121.91017 Grigor’eva, S. V.; Pakhotinskikh, V. Yu.; Uspenskii, A. A.; Ushakov, V. N. 5 2005 The construction of differential inclusions with prescribed properties. Zbl 0974.34008 Gusejnov, Kh. G.; Ushakov, V. N. 5 2000 A minimax differential game. Zbl 0284.90097 Krasovskij, N. N.; Subbotin, A. I.; Ushakov, V. N. 5 1972 Construction of solutions in differential games of pursuit-evasion. Zbl 1181.91034 Ushakov, Vladimir 5 1998 On procedures for constructing solutions in differential games on a finite interval of time. Zbl 1149.49034 Taras’ev, A. M.; Tokmantsev, T. B.; Uspenskii, A. S.; Ushakov, V. N. 5 2006 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 Approximate construction of the set of trajectories of the control system described by a Volterra integral equation. Zbl 1328.93133 Huseyin, Nesir; Guseinov, Khalik G.; Ushakov, Vladimir N. 5 2015 Approximate construction of attainability sets of control systems with integral constraints on the controls. Zbl 0953.93010 Gusejnov, Kh. G.; Neznakhin, A. A.; Ushakov, V. N. 4 1999 The construction of approximate integral funnels of differential inclusions. Zbl 0839.93009 Ushakov, V. N.; Khripunov, A. P. 4 1994 Approximation schemes and finite-difference operators for constructing generalized solutions of Hamilton-Jacobi equations. Zbl 0847.49026 Taras’ev, A. M.; Uspenskij, A. A.; Ushakov, V. N. 4 1994 On the question of the stability defect of sets in an approach game problem. Zbl 1237.49055 Ushakov, V. N.; Malev, A. G. 4 2011 On infinitesimal constructions in the theory of generalized dynamical systems. I. Zbl 1017.34063 Guseinov, Kh. G.; Ushakov, V. N. 4 1998 Differential properties of integral funnels and stable bridges. Zbl 0754.90086 Gusejnov, Kh. G.; Ushakov, V. N. 4 1991 Algorithms of optimal packing construction in ellipse. Zbl 1458.52007 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich; Lavrov, Nikita Georgievich 4 2017 On a supplement to the stability property in differential games. Zbl 1302.49054 Ushakov, V. N.; Uspenskii, A. A. 4 2010 A method for constructing a resolving control in an approach problem based on attraction to the feasibility set. Zbl 1302.93124 Ushakov, V. N.; Matviichuk, A. R.; Parshikov, G. V. 4 2014 Algorithms of optimal set covering on the planar \(\mathbb{R}^2\). Zbl 1367.52015 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 4 2016 Control system depending on a parameter. Zbl 1471.93135 Ushakov, Vladimir N.; Ershov, Aleksandr A.; Ushakov, Andrey V.; Kuvshinov, Oleg A. 4 2021 On estimation of stability in the problem of reconstructing symmetric types of distributions. Zbl 0921.62012 Ushakova, A. P.; Ushakov, V. N. 3 1998 Strongly and weakly invariant sets with respect to a differential inclusion and their derivatives and applications in control problems. Zbl 0726.49004 Gusejnov, Kh. G.; Ushakov, V. N. 3 1990 On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov. Zbl 1296.01034 Krasovskii, N. N.; Eremin, I. I.; Il’in, A. M.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Berdyshev, V. I.; Vasin, V. V.; Makhnev, A. A.; Matveev, S. V.; Subbotin, Yu. N.; Chentsov, A. G.; Ushakov, V. N.; Kabanov, V. V.; Maksimov, V. I. 3 2012 Invariance defect of sets with respect to differential inclusion. Zbl 1299.49019 Ushakov, V. N.; Zimovets, A. A. 3 2011 An approach problem for a control system and a compact set in the phase space in the presence of phase constraints. Zbl 1425.93032 Ershov, A. A.; Ushakov, A. V.; Ushakov, V. N. 3 2019 The approach problem of a nonlinear controlled system in a finite time interval. Zbl 1440.93084 Matviychuk, A. R.; Ukhobotov, V. I.; Ushakov, A. V.; Ushakov, V. N. 3 2017 Andrei Izmailovich Subbotin. Zbl 1137.01326 Ushakov, V. N.; Chentsov, A. G. 2 2000 An inverse problem of the theory of generalized differential equations. Zbl 0974.34004 Babalyev, T. Kh.; Ushakov, V. N. 2 1998 Minimization of the Hausdorff distance between convex polyhedrons. Zbl 1090.90122 Lakhtin, A. S.; Ushakov, V. N. 2 2005 An estimate of the decomposition stability of the Poisson distribution into identical components. Zbl 0883.62017 Ushakov, N. G.; Ushakov, V. N. 2 1997 Minimaxabsorption in Differentialspielen. Zbl 0384.90118 Ushakov, V. N. 2 1974 An estimate of the stability defect for a positional absorption set subjected to discriminant transformations. Zbl 1304.49077 Ushakov, V. N.; Uspenskii, A. A.; Malev, A. G. 2 2012 Andrei Izmailovich Subbotin (on the occasion of his 70th birthday). Zbl 1348.01028 Taras’ev, A. M.; Ushakov, V. N.; Chentsov, A. G.; Subbotina, N. N. 2 2016 Iterative methods for minimization of the Hausdorff distance between movable polygons. Zbl 1376.49039 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 2 2017 To solution of control problems of nonlinear systems on a finite time interval. Zbl 1338.93066 Ushakov, V. N.; Matviychuk, A. R. 2 2015 A computer realization of control-with-guide procedures. Zbl 1066.93025 Vakhrushev, V. A.; Ushakov, V. N. 2 2002 Stable and unstable sets in problems of conflict control. Zbl 1151.91362 Ushakov, V. N.; Brykalov, S. A.; Latushkin, Y. A. 2 2008 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 Stability property in the convergence game problem in the presence of phase constraints. Zbl 1476.93135 Zimovets, A. A.; Matviichuk, A. R.; Ushakov, A. V.; Ushakov, V. N. 2 2021 Reachable sets and integral funnels of differential inclusions depending on a parameter. Zbl 1485.93052 Ushakov, V. N.; Ershov, A. A. 2 2021 An estimate for the Hausdorff distance between a set and its convex hull in Euclidean spaces of small dimension. Zbl 1431.52002 Ushakov, V. N.; Ershov, A. A. 2 2019 On recovering of unknown constant parameter by several test controls. Zbl 1474.93145 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich 2 2020 Two game-theoretic problems of approach. Zbl 1485.91028 Ershov, A. A.; Ushakov, A. V.; Ushakov, V. N. 2 2021 Control systems depending on a parameter: reachable sets and integral funnels. Zbl 1519.93024 Ushakov, V. N.; Ershov, A. A.; Ushakov, A. V. 2 2022 On the representation of Fibonacci and Lucas numbers as the sum of three squares. Zbl 1283.11032 Latushkin, Ya. A.; Ushakov, V. N. 2 2012 Strongly and weakly invariant sets with respect to a differential inclusion. Zbl 0684.34014 Gusejnov, Kh. G.; Ushakov, V. N. 1 1989 Stable bridges in differential games in a finite time interval. Zbl 1118.91024 Ushakov, V. N.; Uspenskii, A. A.; Tokmantsev, T. B. 1 2004 On construction of positional absorption set in conflict control problems. Zbl 0815.90143 Khripunov, A. P.; Tarasyev, A. M.; Ushakov, V. N. 1 1992 A representation of regular subsequences of recurrent sequences. Zbl 1082.11007 Latushkin, Yaroslav; Ushakov, Vladimir 1 2005 On the stability property in a game-theoretic approach problem with fixed terminal time. Zbl 1223.91012 Ushakov, V. N. 1 2011 Alexander Borisovich Kurzhanski (On the occasion of his 70th birthday). Zbl 1225.01054 Berdyshev, V. I.; Gusev, M. I.; Krasovskii, N. N.; Osipov, Yu. S.; Ushakov, V. N. 1 2010 Construction of stable bridges in differential games with phase restrictions. Zbl 1105.49042 Pakhotonsky, V. Yu.; Uspensky, A. A.; Ushakov, V. N. 1 2003 Theorems on the separability of \(\alpha\)-sets in Euclidean space. Zbl 1384.93023 Ushakov, V. N.; Uspenskii, A. A. 1 2017 Infinitesimal constructions in the theory of generalized dynamical systems. II. Zbl 0979.34052 Guseinov, Kh. G.; Ushakov, V. N. 1 1998 Selection of a viability kernel for differential inclusion. Zbl 1029.49003 Zavarin, A. B.; Ushakov, V. N. 1 2001 Some problems of stability and stabilization in differential games. Zbl 0589.90103 Reshetov, V. M.; Subbotin, A. I.; Ushakov, V. N. 1 1981 The toreador problem. Zbl 0805.90138 Ivanov, V. A.; Taras’ev, A. M.; Ushakov, V. N.; Khripunov, A. P. 1 1993 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 A guidance problem for a differential inclusion with parameter. Zbl 1349.34052 Ushakov, V. N.; Brykalov, S. A.; Parshikov, Grigory V. 1 2016 Numerical solution of differential games and Cauchy problem for Hamilton-Jacobi equation. Zbl 1142.91348 Grigorieva, S. V.; Ushakov, V. N.; Uspenskii, A. A. 1 2002 A variant of a metric for unbounded convex sets. Zbl 1331.49065 Lebedev, P. D.; Ushakov, V. N. 1 2013 Differential control systems. Collection of articles. (Дифференциал’ные системы управления. Сборник статей.) Zbl 0476.93003 1 1979 On the stability property in positional differential games. Zbl 1261.49010 Ushakov, V. N.; Uspenskii, A. A. 1 2012 Estimation of the growth of the degree of nonconvexity of reachable sets in terms of \(\alpha\)-sets. Zbl 1481.52001 Ushakov, V. N.; Ershov, A. A. 1 2020 Application of correcting control in the problem with unknown parameter. Zbl 1451.93164 Ushakov, Vladimir; Ershov, Aleksandr 1 2020 On one addition to evaluation by L. S. Pontryagin of the geometric difference of sets in a plane. Zbl 1452.52001 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich; Pershakov, Maksim Vadimovich 1 2019 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018 Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 Unification in the game problem of convergence and the property of stability. Zbl 1495.91019 Ushakov, Vladimir Nikolaevich 1 2022 On estimating the degree of nonconvexity of reachable sets of control systems. Zbl 1482.93070 Ushakov, V. N.; Ershov, A. A.; Matviychuk, A. R. 1 2021 On a problem of impulse control under disturbance and possible breakdown. Zbl 1482.93283 Ushakov, V. N.; Ukhobotov, V. I.; Izmest’ev, I. V. 1 2021 An addition to the definition of a stable bridge and an approximating system of sets in differential games. Zbl 1422.91104 Ushakov, V. N.; Ukhobotov, V. I.; Lipin, A. E. 1 2019 Control systems depending on a parameter: reachable sets and integral funnels. Zbl 1519.93024 Ushakov, V. N.; Ershov, A. A.; Ushakov, A. V. 2 2022 Unification in the game problem of convergence and the property of stability. Zbl 1495.91019 Ushakov, Vladimir Nikolaevich 1 2022 Control system depending on a parameter. Zbl 1471.93135 Ushakov, Vladimir N.; Ershov, Aleksandr A.; Ushakov, Andrey V.; Kuvshinov, Oleg A. 4 2021 Stability property in the convergence game problem in the presence of phase constraints. Zbl 1476.93135 Zimovets, A. A.; Matviichuk, A. R.; Ushakov, A. V.; Ushakov, V. N. 2 2021 Reachable sets and integral funnels of differential inclusions depending on a parameter. Zbl 1485.93052 Ushakov, V. N.; Ershov, A. A. 2 2021 Two game-theoretic problems of approach. Zbl 1485.91028 Ershov, A. A.; Ushakov, A. V.; Ushakov, V. N. 2 2021 On estimating the degree of nonconvexity of reachable sets of control systems. Zbl 1482.93070 Ushakov, V. N.; Ershov, A. A.; Matviychuk, A. R. 1 2021 On a problem of impulse control under disturbance and possible breakdown. Zbl 1482.93283 Ushakov, V. N.; Ukhobotov, V. I.; Izmest’ev, I. V. 1 2021 On recovering of unknown constant parameter by several test controls. Zbl 1474.93145 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich 2 2020 Estimation of the growth of the degree of nonconvexity of reachable sets in terms of \(\alpha\)-sets. Zbl 1481.52001 Ushakov, V. N.; Ershov, A. A. 1 2020 Application of correcting control in the problem with unknown parameter. Zbl 1451.93164 Ushakov, Vladimir; Ershov, Aleksandr 1 2020 An approach problem for a control system and a compact set in the phase space in the presence of phase constraints. Zbl 1425.93032 Ershov, A. A.; Ushakov, A. V.; Ushakov, V. N. 3 2019 An estimate for the Hausdorff distance between a set and its convex hull in Euclidean spaces of small dimension. Zbl 1431.52002 Ushakov, V. N.; Ershov, A. A. 2 2019 On one addition to evaluation by L. S. Pontryagin of the geometric difference of sets in a plane. Zbl 1452.52001 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich; Pershakov, Maksim Vadimovich 1 2019 An addition to the definition of a stable bridge and an approximating system of sets in differential games. Zbl 1422.91104 Ushakov, V. N.; Ukhobotov, V. I.; Lipin, A. E. 1 2019 An approach problem for a control system with an unknown parameter. Zbl 1381.93036 Ershov, Aleksandr A.; Ushakov, Vladimir N. 10 2017 Algorithms of optimal packing construction in ellipse. Zbl 1458.52007 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich; Lavrov, Nikita Georgievich 4 2017 The approach problem of a nonlinear controlled system in a finite time interval. Zbl 1440.93084 Matviychuk, A. R.; Ukhobotov, V. I.; Ushakov, A. V.; Ushakov, V. N. 3 2017 Iterative methods for minimization of the Hausdorff distance between movable polygons. Zbl 1376.49039 Ushakov, Vladimir Nikolaevich; Lebedev, Pavel Dmitrievich 2 2017 Theorems on the separability of \(\alpha\)-sets in Euclidean space. Zbl 1384.93023 Ushakov, V. N.; Uspenskii, A. A. 1 2017 On the solution of control problems with fixed terminal time. Zbl 1371.49021 Ushakov, Vladimir Nikolaevich; Ershov, Aleksandr Anatol’evich 10 2016 \(\alpha\)-sets in finite dimensional Euclidean spaces and their properties. Zbl 1365.52008 Ushakov, Vladimir Nikolaevich; Uspenskiĭ, Aleksandr Aleksandrovich 8 2016 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 Andrei Izmailovich Subbotin (on the occasion of his 70th birthday). Zbl 1348.01028 Taras’ev, A. M.; Ushakov, V. N.; Chentsov, A. G.; Subbotina, N. N. 2 2016 A guidance problem for a differential inclusion with parameter. Zbl 1349.34052 Ushakov, V. N.; Brykalov, S. A.; Parshikov, Grigory V. 1 2016 On solving approach problems for control systems. Zbl 1333.93046 Ushakov, V. N.; Ukhobotov, V. I.; Ushakov, A. V.; Parshikov, G. V. 9 2015 Optimization of the Hausdorff distance between sets in Euclidean space. Zbl 1338.49070 Ushakov, V. N.; Lakhtin, A. S.; Lebedev, P. D. 7 2015 Approximate construction of the set of trajectories of the control system described by a Volterra integral equation. Zbl 1328.93133 Huseyin, Nesir; Guseinov, Khalik G.; Ushakov, Vladimir N. 5 2015 To solution of control problems of nonlinear systems on a finite time interval. Zbl 1338.93066 Ushakov, V. N.; Matviychuk, A. R. 2 2015 A method for constructing a resolving control in an approach problem based on attraction to the feasibility set. Zbl 1302.93124 Ushakov, V. N.; Matviichuk, A. R.; Parshikov, G. V. 4 2014 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 A variant of a metric for unbounded convex sets. Zbl 1331.49065 Lebedev, P. D.; Ushakov, V. N. 1 2013 On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov. Zbl 1296.01034 Krasovskii, N. N.; Eremin, I. I.; Il’in, A. M.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Berdyshev, V. I.; Vasin, V. V.; Makhnev, A. A.; Matveev, S. V.; Subbotin, Yu. N.; Chentsov, A. G.; Ushakov, V. N.; Kabanov, V. V.; Maksimov, V. I. 3 2012 An estimate of the stability defect for a positional absorption set subjected to discriminant transformations. Zbl 1304.49077 Ushakov, V. N.; Uspenskii, A. A.; Malev, A. G. 2 2012 On the representation of Fibonacci and Lucas numbers as the sum of three squares. Zbl 1283.11032 Latushkin, Ya. A.; Ushakov, V. N. 2 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 stability property in positional differential games. Zbl 1261.49010 Ushakov, V. N.; Uspenskii, A. A. 1 2012 Approximations of attainability sets and of integral funnels of differential inclusions. Zbl 1299.35077 Ushakov, V. N.; Matviichuk, A. R.; Ushakov, A. V. 12 2011 On the question of the stability defect of sets in an approach game problem. Zbl 1237.49055 Ushakov, V. N.; Malev, A. G. 4 2011 Invariance defect of sets with respect to differential inclusion. Zbl 1299.49019 Ushakov, V. N.; Zimovets, A. A. 3 2011 On the stability property in a game-theoretic approach problem with fixed terminal time. Zbl 1223.91012 Ushakov, V. N. 1 2011 On a supplement to the stability property in differential games. Zbl 1302.49054 Ushakov, V. N.; Uspenskii, A. A. 4 2010 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 Alexander Borisovich Kurzhanski (On the occasion of his 70th birthday). Zbl 1225.01054 Berdyshev, V. I.; Gusev, M. I.; Krasovskii, N. N.; Osipov, Yu. S.; Ushakov, V. N. 1 2010 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018 Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 Construction of a minimax solution for an eikonal-type equation. Zbl 1185.35058 Lebedev, P. D.; Uspenskii, A. A.; Ushakov, V. N. 15 2008 Stable and unstable sets in problems of conflict control. Zbl 1151.91362 Ushakov, V. N.; Brykalov, S. A.; Latushkin, Y. A. 2 2008 The approximation of reachable sets of control systems with integral constraint on controls. Zbl 1141.93010 Guseinov, K. G.; Ozer, O.; Akyar, E.; Ushakov, V. N. 22 2007 Two algorithms for approximate construction of the set of positional absorption in the game problem of pursuit. Zbl 1147.49032 Mikhalev, D. K.; Ushakov, V. N. 8 2007 On the construction of resolving controls in control problems with phase constraints. Zbl 1260.93019 Matviychuk, A. R.; Ushakov, V. N. 7 2006 The stability defect of sets in game control problems. Zbl 1125.49030 Ushakov, V. N.; Latushkin, Ya. A. 6 2006 On procedures for constructing solutions in differential games on a finite interval of time. Zbl 1149.49034 Taras’ev, A. M.; Tokmantsev, T. B.; Uspenskii, A. S.; Ushakov, V. N. 5 2006 Construction of solutions in some differential games with phase constraints. Zbl 1121.91017 Grigor’eva, S. V.; Pakhotinskikh, V. Yu.; Uspenskii, A. A.; Ushakov, V. N. 5 2005 Minimization of the Hausdorff distance between convex polyhedrons. Zbl 1090.90122 Lakhtin, A. S.; Ushakov, V. N. 2 2005 A representation of regular subsequences of recurrent sequences. Zbl 1082.11007 Latushkin, Yaroslav; Ushakov, Vladimir 1 2005 Construction of an attainability set for the Brockett integrator. Zbl 1106.49035 Vdovin, S. A.; Taras’ev, A. M.; Ushakov, V. N. 10 2004 Stable bridges in differential games in a finite time interval. Zbl 1118.91024 Ushakov, V. N.; Uspenskii, A. A.; Tokmantsev, T. B. 1 2004 Construction of stable bridges in differential games with phase restrictions. Zbl 1105.49042 Pakhotonsky, V. Yu.; Uspensky, A. A.; Ushakov, V. N. 1 2003 A computer realization of control-with-guide procedures. Zbl 1066.93025 Vakhrushev, V. A.; Ushakov, V. N. 2 2002 Numerical solution of differential games and Cauchy problem for Hamilton-Jacobi equation. Zbl 1142.91348 Grigorieva, S. V.; Ushakov, V. N.; Uspenskii, A. A. 1 2002 A discrete method for constructing an approximate viability kernel of a differential inclusion. Zbl 1023.93039 Neznakhin, A. A.; Ushakov, V. N. 6 2001 Selection of a viability kernel for differential inclusion. Zbl 1029.49003 Zavarin, A. B.; Ushakov, V. N. 1 2001 The construction of differential inclusions with prescribed properties. Zbl 0974.34008 Gusejnov, Kh. G.; Ushakov, V. N. 5 2000 Andrei Izmailovich Subbotin. Zbl 1137.01326 Ushakov, V. N.; Chentsov, A. G. 2 2000 Approximate construction of attainability sets of control systems with integral constraints on the controls. Zbl 0953.93010 Gusejnov, Kh. G.; Neznakhin, A. A.; Ushakov, V. N. 4 1999 The approximation of reachable domains of control systems. Zbl 0966.93019 Gusejnov, Kh. G.; Moiseev, A. N.; Ushakov, V. N. 6 1998 Construction of solutions in differential games of pursuit-evasion. Zbl 1181.91034 Ushakov, Vladimir 5 1998 On infinitesimal constructions in the theory of generalized dynamical systems. I. Zbl 1017.34063 Guseinov, Kh. G.; Ushakov, V. N. 4 1998 On estimation of stability in the problem of reconstructing symmetric types of distributions. Zbl 0921.62012 Ushakova, A. P.; Ushakov, V. N. 3 1998 An inverse problem of the theory of generalized differential equations. Zbl 0974.34004 Babalyev, T. Kh.; Ushakov, V. N. 2 1998 Infinitesimal constructions in the theory of generalized dynamical systems. II. Zbl 0979.34052 Guseinov, Kh. G.; Ushakov, V. N. 1 1998 On approximate construction of solutions in game-theoretic control problems. Zbl 0881.90148 Ushakov, V. N.; Khripunov, A. P. 12 1997 An estimate of the decomposition stability of the Poisson distribution into identical components. Zbl 0883.62017 Ushakov, N. G.; Ushakov, V. N. 2 1997 The construction of approximate integral funnels of differential inclusions. Zbl 0839.93009 Ushakov, V. N.; Khripunov, A. P. 4 1994 Approximation schemes and finite-difference operators for constructing generalized solutions of Hamilton-Jacobi equations. Zbl 0847.49026 Taras’ev, A. M.; Uspenskij, A. A.; Ushakov, V. N. 4 1994 The toreador problem. Zbl 0805.90138 Ivanov, V. A.; Taras’ev, A. M.; Ushakov, V. N.; Khripunov, A. P. 1 1993 On construction of positional absorption set in conflict control problems. Zbl 0815.90143 Khripunov, A. P.; Tarasyev, A. M.; Ushakov, V. N. 1 1992 Differential properties of integral funnels and stable bridges. Zbl 0754.90086 Gusejnov, Kh. G.; Ushakov, V. N. 4 1991 Strongly and weakly invariant sets with respect to a differential inclusion and their derivatives and applications in control problems. Zbl 0726.49004 Gusejnov, Kh. G.; Ushakov, V. N. 3 1990 Strongly and weakly invariant sets with respect to a differential inclusion. Zbl 0684.34014 Gusejnov, Kh. G.; Ushakov, V. N. 1 1989 On a computational algorithm for solving game control problems. Zbl 0653.90108 Taras’ev, A. M.; Ushakov, V. N.; Khripunov, A. P. 14 1987 Derivatives for multivalued mappings with applications to game- theoretical problems of control. Zbl 0593.90095 Guseĭnov, H. G.; Subbotin, A. I.; Ushakov, V. N. 31 1985 Some problems of stability and stabilization in differential games. Zbl 0589.90103 Reshetov, V. M.; Subbotin, A. I.; Ushakov, V. N. 1 1981 On the problem of constructing stable bridges in a differential game of approach and avoidance. Zbl 0467.90098 Ushakov, V. N. 15 1980 Differential control systems. Collection of articles. (Дифференциал’ные системы управления. Сборник статей.) Zbl 0476.93003 1 1979 Alternative for an encounter-evasion differential game with integral constraints on the players’ controls. Zbl 0363.90135 Subbotin, A. I.; Ushakov, V. N. 17 1975 Minimaxabsorption in Differentialspielen. Zbl 0384.90118 Ushakov, V. N. 2 1974 Extremal strategies in differential games with integral constraints. Zbl 0254.90078 Ushakov, V. N. 26 1972 A minimax differential game. Zbl 0284.90097 Krasovskij, N. N.; Subbotin, A. I.; Ushakov, V. N. 5 1972 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 57 Ushakov, Vladimir Nikolaevich 18 Guseinov, Khalik G. 18 Lebedev, Pavel Dmitrievich 16 Ershov, Aleksandr Anatol’evich 13 Huseyin, Anar 13 Huseyin, Nesir 11 Gusev, Mikhail Ivanovich 11 Patsko, Valerii S. 9 Taras’ev, Aleksandr Mikhaĭlovich 9 Uspenskiĭ, Aleksandr Aleksandrovich 8 Ibragimov, Gafurjan I. 8 Matviĭchuk, Aleksandr Rostislavovich 8 Ushakov, Andreĭ Vladimirovich 6 Maksimov, Vyacheslav Ivanovich 5 Kumkov, Sergey S. 5 Ukhobotov, Viktor Ivanovich 4 Düzce, Serkan Ali 4 Gomoyunov, Mikhail Igorevich 4 Kostousova, Elena K. 4 Kuvshinov, Oleg Aleksandrovich 4 Lukoyanov, Nikolaĭ Yur’evich 4 Nazlipinar, Ali S. 4 Ozer, Orhan 4 Parshikov, Grigoriĭ Virktorovich 4 Shchelchkov, Kirill Aleksandrovich 4 Subbotina, Nina N. 4 Turova, Varvara L. 3 Alias, Idham Arif 3 Chentsov, Aleksandr Georgievich 3 Frankowska, Hélène 3 Kazakov, Aleksandr Leonidovich 3 Kuchkarov, Atamurat Shamuratovich 3 Latushkin, Yaroslav A. 3 Le Ménec, Stéphane 3 Lempert, Anna Anan’evna 3 Malev, A. G. 3 Mamadaliev, Numanzhon Alimdzhanovich 3 Samatov, Bahrom Tadjiahmatovich 3 Subbotin, Andreĭ Izmaĭlovich 3 Tokmantsev, Timofeĭ Borisovich 3 Ushakova, Alexandra P. 2 Alimov, Alexey R. 2 Arguchintsev, Aleksandr Valer’evich 2 Clarke, Francis H. 2 Dykhta, Vladimir Aleksandrovich 2 Ege, Nihal 2 Filippova, Tat’yana Fëdorovna 2 Finkel’shteĭn, Evgeniya Aleksandrovna 2 Gornov, Aleksandr Yur’evich 2 Gusejnov, Kh. G. 2 Izmest’ev, Igor’ Vyacheslavovich 2 Kotel’nikova, A. N. 2 Krasovskiĭ, Nikolaĭ Nikolaevich 2 Lakhtin, Alexey S. 2 Ledyaev, Yuri Semenovich 2 Lipin, Anton Evgen’evich 2 Neznakhin, A. A. 2 Pershakov, Maksim Vadimovich 2 Plaskacz, Sławomir 2 Salleh, Yusra 2 Satimov, Numan Yunusovich 2 Soyibboev, Ulmasjon Boykuzi ugli 2 Zarodnyuk, Tatiana Sergeevna 2 Zimovets, Artem Anatol’evich 2 Zykov, Igor’ Vladimirovich 1 Abdualimova, Gulzurakhon Mirzakomilovna 1 Akbarov, Adakhambek Khasanbaevich 1 Akyar, Emrah 1 Albataineh, Zaid 1 Alekseev, Gennady V. 1 Anan’ev, Boris Ivanovich 1 Anikin, Anton S. 1 Arbuzov, Boris A. 1 Bagno, Aleksandr Leonidovich 1 Baranovska, Lesia V. 1 Basturk, Bahriye 1 Batishchev, V. A. 1 Bittner, Matthias 1 Bondarenko, Natalia V. 1 Botkin, Nikolai D. 1 Bru, Jean-Bernard 1 Brykalov, Sergeĭ Arkad’evich 1 Bukharov, Dmitrij Sergeevich 1 Chikrii, Kirill A. 1 Dal Maso, Gianni 1 Danilov, Dmitry I. 1 Diepolder, Johannes 1 Fedotov, Andrey A. 1 Ferrara, Massimiliano 1 Floater, Michael S. 1 Gamkrelidze, Revaz Valerianovich 1 Ganebny, Sergei A. 1 Ganebny, Sergey A. 1 Grigorenko, Nikolaĭ Leont’evich 1 Haddad, Shadi 1 Halder, Abhishek 1 Holzapfel, Florian 1 Ibaydullaev, T. T. 1 Kamneva, Liudmila 1 Khachay, Daniel M. ...and 66 more Authors all top 5 Cited in 63 Serials 38 Proceedings of the Steklov Institute of Mathematics 20 Journal of Applied Mathematics and Mechanics 13 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 11 Automation and Remote Control 11 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 9 Journal of Mathematical Sciences (New York) 8 Ural Mathematical Journal 7 Prikladnaya Matematika i Mekhanika 7 Dynamic Games and Applications 6 Russian Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Dynamical and Control Systems 5 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 4 Cybernetics and Systems Analysis 4 Abstract and Applied Analysis 4 Differential Equations 3 Mathematical Notes 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Computer and Systems Sciences International 3 Doklady Mathematics 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Computational Mathematics and Modeling 2 YUJOR. Yugoslav Journal of Operations Research 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Applied Analysis 2 International Game Theory Review 2 Mathematical Modelling and Analysis 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Physics Reports 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Functional Analysis and its Applications 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Circuits, Systems, and Signal Processing 1 Journal of Scientific Computing 1 Journal of Global Optimization 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Journal of Control 1 The Ramanujan Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Modelling and Control 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Optimization Letters 1 Tbilisi Mathematical Journal 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Set-Valued and Variational Analysis 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Mathematical Control and Related Fields 1 Nonlinear Analysis. Theory, Methods & Applications 1 Minimax Theory and its Applications 1 Journal of Siberian Federal University. Mathematics & Physics 1 Mechanics of Solids 1 Vestnik Rossiĭskikh Universitetov. Matematika all top 5 Cited in 36 Fields 100 Systems theory; control (93-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Ordinary differential equations (34-XX) 15 Partial differential equations (35-XX) 14 Convex and discrete geometry (52-XX) 13 Numerical analysis (65-XX) 11 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 6 Number theory (11-XX) 6 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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