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Borisov, Vladimir Fedorovich
Statistics Math-Net.Ru
Total publications: 12
Scientific articles: 12

Number of views:
This page:707
Abstract pages:5076
Full texts:2118
References:279
Keywords: phase constraints, Pontryagin's maximum principle, Lagrangian manifolds, chattering control, blow up.

https://www.mathnet.ru/eng/person8484
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/246157

Publications in Math-Net.Ru Citations
2012
1. V. F. Borisov, V. V. Gael, M. I. Zelikin, “Chattering regimes and Lagrangian manifolds in problems with phase constraints”, Izv. RAN. Ser. Mat., 76:1 (2012),  3–42  mathnet  mathscinet  zmath  elib; Izv. Math., 76:1 (2012), 1–38  isi  elib  scopus 1
2010
2. V. F. Borisov, M. I. Zelikin, L. A. Manita, “Optimal synthesis in an infinite-dimensional space”, Trudy Mat. Inst. Steklova, 271 (2010),  40–58  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 34–52  isi  elib  scopus 3
2006
3. V. F. Borisov, “Kelley Condition and Structure of Lagrange Manifold in a Neighborhood of a First-Order Singular Extremal”, CMFD, 19 (2006),  5–44  mathnet  mathscinet  zmath  elib; Journal of Mathematical Sciences, 151:6 (2008), 3431–3472  scopus 3
4. V. F. Borisov, “A lower estimate of the codimension of the set of Fuller points”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  5–32  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:2 (2004), 2117–2136
2002
5. M. I. Zelikin, V. F. Borisov, “Optimal chattering feedback control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 90 (2002),  5–189  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 114:3 (2003), 1227–1344 12
2000
6. V. F. Borisov, “On two-dimensional integral varieties of a class of discontinuous Hamiltonian systems”, Fundam. Prikl. Mat., 6:2 (2000),  357–377  mathnet  mathscinet  zmath
1996
7. V. F. Borisov, “Number of limit cycles of the quotient system of the $n$-dimensional Fuller problem”, Mat. Sb., 187:12 (1996),  3–20  mathnet  mathscinet  zmath; Sb. Math., 187:12 (1996), 1737–1753  isi  scopus 4
1991
8. M. I. Zelikin, V. F. Borisov, “Regimes with frequented switches in the problems of optimal control”, Trudy Mat. Inst. Steklov., 197 (1991),  85–166  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 197 (1993), 95–186 18
1990
9. M. I. Zelikin, V. F. Borisov, “Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order”, Mat. Zametki, 47:1 (1990),  62–73  mathnet  mathscinet  zmath; Math. Notes, 47:1 (1990), 41–49  isi 2
1989
10. M. I. Zelikin, V. F. Borisov, “Fields of optimal trajectories that contain second-order singular extremals and extremals with chattering arcs”, Dokl. Akad. Nauk SSSR, 304:5 (1989),  1050–1053  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 188–191
1988
11. V. F. Borisov, “Construction of optimal synthesis with a chattering mode”, Dokl. Akad. Nauk SSSR, 302:4 (1988),  785–789  mathnet  mathscinet  zmath; Dokl. Math., 38:2 (1989), 332–336
1987
12. V. F. Borisov, “Structural stability of the synthesis of optimal trajectories in the Fuller problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  64–66  mathnet  mathscinet  zmath 1

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