Roland Hildebrand, “Canonical barriers on convex cones”, Mathematics of Operations Research, 39:3 (2014), 841-850
Воронцова Е., Хильдебранд Р., Гасников А., Стонякин Ф., Выпуклая оптимизация, МФТИ, 2021
Hildebrand Roland, “Centro-affine hypersurface immersions with parallel cubic form”, Contributions to Algebra and Geometry, 56:2 (2015), 593-640
Hildebrand Roland, “Self-associated three-dimensional cones”, Contributions to Algebra and Geometry, 63:4 (2022), 867-906
Zelikin M.I., Lokutsievskiy L.V., Hildebrand R, “Typicalness of chaotic fractal behaviour of integral vortices in Hamiltonian systems with discontinuous right hand side”, Contemporary Mathematics. Fundamental Directions, 56 (2015), 5–128
R. Hildebrand, “Numerical range and a generalization of Duffin’s overdamping criterion”, Comput. Math. Math. Phys., 64:4 (2024), 599–604
2015
2.
M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand, “Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side”, CMFD, 56 (2015), 5–128; Journal of Mathematical Sciences, 221:1 (2017), 1–136
M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand, “Stochastic dynamics of lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians”, Dokl. Akad. Nauk, 450:1 (2013), 7–12; Dokl. Math., 87:3 (2013), 259–263
R. Hildebrand, L. V. Lokoutsievskiy, M. I. Zelikin, “Generic fractal structure of finite parts of trajectories of piecewise smooth hamiltonian systems”, Russ. J. Math. Phys., 20:1 (2013), 25–32
M. I. Zelikin, L. V. Lokutsievskiy, R. Hildebrand, “Geometry of neighborhoods of singular trajectories in problems with multidimensional control”, Trudy Mat. Inst. Steklova, 277 (2012), 74–90; Proc. Steklov Inst. Math., 277 (2012), 67–83
R. Hildebrand, “On the number of independent control sequences in the symmetric Fuller problem with two-dimensional control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006), 265–271; J. Math. Sci. (N. Y.), 121:2 (2004), 2221–2225
7.
R. Hildebrand, “An open problem of optimal control theory”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006), 197–264; J. Math. Sci. (N. Y.), 121:2 (2004), 2178–2220
2001
8.
R. Hildebrand, “Classification of phase portraits of optimal syntheses”, Fundam. Prikl. Mat., 7:1 (2001), 199–233
9.
M. I. Zelikin, N. B. Melnikov, R. Hildebrand, “The Topological Structure of the Phase Portrait of a Typical Fiber of Optimal Synthesis for Chattering Problems”, Trudy Mat. Inst. Steklova, 233 (2001), 125–152; Proc. Steklov Inst. Math., 233 (2001), 116–142
M. I. Zelikin, L. F. Zelikina, R. Hildebrand, “Asymptotics of Optimal Synthesis for One Class of Extremal Problems”, Trudy Mat. Inst. Steklova, 233 (2001), 95–124; Proc. Steklov Inst. Math., 233 (2001), 87–115
Geometric Aspects of Barriers for 3-Dimensional Cones R. Hildebrand International conference "Optimization and Applications in Control and Data Science"
on the occasion of Boris Polyak's 80th birthday May 15, 2015 12:30
8.
Rank 1 generated spectrahedral cones R. Hildebrand Workshop “Frontiers of High Dimensional Statistics, Optimization, and Econometrics” February 26, 2015 15:00
9.
Фрактальная структура оптимального синтеза M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand All-Moscow regular scientific seminar "Control Theory and Optimization" December 2, 2014 11:30
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