Persons: Gamkrelidze Revaz Valer'yanovich

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE LIBRARY

Gamkrelidze Revaz Valer'yanovich

Statistics Math-Net.Ru
Total publications:	32
Scientific articles:	23
Citations to the author:	87
Cited articles:	19
Citing authors:	50
Presentations:	4

Number of views:
This page:	2060
Abstract pages:	7581
Full texts:	2760
References:	143

Member of the Russian Academy of Sciences

Professor

Doctor of physico-mathematical sciences

Birth date:

04.02.1927

E-mail:

, ,

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	The geometry of maximum principle A. A. Agrachev, R. V. Gamkrelidze Tr. Mat. Inst. Steklova, 273 (2011), 5–27
2.	The Pontryagin derivative in optimal control R. V. Gamkrelidze Tr. Mat. Inst. Steklova, 268 (2010), 94–99
3.	The Pontryagin Maximum Principle 50 years later A. A. Agrachev, R. V. Gamkrelidze Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006), 6–14
4.	Mathematical Work of L. S. Pontryagin R. V. Gamkrelidze Tr. Mat. Inst. Steklova, 224 (1999), 14–27
5.	The mathematical work of L. S. Pontryagin R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 60 (1998), 5–23
6.	On the orbits of groups of diffeomorphisms and flows A. A. Agrachev, R. V. Gamkrelidze Trudy Mat. Inst. Steklov., 209 (1995), 3–13
7.	Volterra series and permutation groups A. A. Agrachev, R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 39 (1991), 3–40
8.	Symplectic geometry and conditions necessary conditions for optimality A. A. Agrachev, R. V. Gamkrelidze Mat. Sb., 182:1 (1991), 36–54
9.	Quadratic mappings and smooth vector functions: Euler characteristics of level sets A. A. Agrachev, R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35 (1989), 179–239
10.	Quasi-extremality for controllable systems A. A. Agrachev, R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35 (1989), 109–134
11.	Ordinary differential equations on vector bundles, and chronological calculus R. V. Gamkrelidze, A. A. Agrachev, S. A. Vakhrameev Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35 (1989), 3–107
12.	Sliding modes in optimal control theory R. V. Gamkrelidze Trudy Mat. Inst. Steklov., 169 (1985), 180–193
13.	The mathematical work of L. S. Pontryagin D. V. Anosov, R. V. Gamkrelidze, E. F. Mishchenko, M. M. Postnikov Trudy Mat. Inst. Steklov., 166 (1984), 3–17
14.	Differential geometric and group theoretic methods in optimal control theory A. A. Agrachev, S. A. Vakhrameev, R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Probl. Geom., 14 (1983), 3–56
15.	Chronological algebras and nonstationary vector fields A. A. Agrachev, R. V. Gamkrelidze Itogi Nauki i Tekhniki. Ser. Probl. Geom., 11 (1980), 135–176
16.	The exponential representation of flows and the chronological calculus A. A. Agrachev, R. V. Gamkrelidze Mat. Sb. (N.S.), 107(149):4(12) (1978), 467–532
17.	A second order optimality principle for a time-optimal problem A. A. Agrachev, R. V. Gamkrelidze Mat. Sb. (N.S.), 100(142):4(8) (1976), 610–643
18.	Necessary first order conditions, and the axiomatics of extremal problems R. V. Gamkrelidze Trudy Mat. Inst. Steklov., 112 (1971), 152–180
19.	Extremal problems in linear topological spaces R. V. Gamkrelidze, G. L. Kharatishvili Izv. Akad. Nauk SSSR Ser. Mat., 33:4 (1969), 781–839
20.	Optimal control processes for bounded phase coordinates R. V. Gamkrelidze Izv. Akad. Nauk SSSR Ser. Mat., 24:3 (1960), 315–356
21.	Theory of optimal processes. I. The maximum principle V. G. Boltyanskii, R. V. Gamkrelidze, L. S. Pontryagin Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960), 3–42
22.	Theory of processes in linear systems which are optimal with respect to rapidity of action R. V. Gamkrelidze Izv. Akad. Nauk SSSR Ser. Mat., 22:4 (1958), 449–474
23.	Chern's cycles of complex algebraic manifolds R. V. Gamkrelidze Izv. Akad. Nauk SSSR Ser. Mat., 20:5 (1956), 685–706

24.	Lev Dmitrievich Kudryavtsev (obituary) D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich Uspekhi Mat. Nauk, 67:3(405) (2012), 173–174
25.	Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth) D. V. Anosov, S. M. Aseev, R. V. Gamkrelidze, S. P. Konovalov, M. S. Nikol'skii, N. Kh. Rozov Uspekhi Mat. Nauk, 67:2(404) (2012), 193–207
26.	In memory of Evgenii Frolovich Mishchenko Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov Tr. Mat. Inst. Steklova, 271 (2010), 7–8
27.	Dmitrii Viktorovich Anosov (on his 60th birthday) V. I. Arnol'd, A. A. Bolibrukh, R. V. Gamkrelidze, V. P. Maslov, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, Ya. G. Sinai, A. M. Stepin, L. D. Faddeev Uspekhi Mat. Nauk, 52:2(314) (1997), 193–200
28.	Mikhail Mikhailovich Postnikov (on his 60th birthday) V. G. Boltyanskii, R. V. Gamkrelidze, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. B. Rudyak Uspekhi Mat. Nauk, 44:6(270) (1989), 163–164
29.	Academician Lev Semenovich Pontryagin (obituary) V. I. Vorotnikov, L. N. Zaikov, E. K. Ligachev, A. N. Yakovlev, G. I. Marchuk, V. A. Grigor'ev, G. A. Yagodin, V. A. Kotel'nikov, P. N. Fedoseev, E. P. Velikhov, K. V. Frolov, A. A. Logunov, A. L. Yanshin, I. M. Makarov, N. G. Basov, N. N. Bogolyubov, V. S. Vladimirov, I. M. Gel'fand, A. A. Gonchar, N. N. Krasovskii, M. M. Lavrent'ev, V. A. Mel'nikov, Yu. A. Mitropol'skii, E. F. Mishchenko, S. M. Nikol'skii, S. P. Novikov, V. P. Platonov, A. V. Pogorelov, Yu. V. Prokhorov, L. I. Sedov, S. L. Sobolev, A. N. Tikhonov, L. D. Faddeev, R. V. Gamkrelidze Uspekhi Mat. Nauk, 44:1(265) (1989), 3–4
30.	L. S. Pontryagin, “The method of coordinates” (a review) R. V. Gamkrelidze Uspekhi Mat. Nauk, 33:6(204) (1978), 247–248
31.	Lev Semenovich Pontryagin (on the occasion of his sixtieth birthday) P. S. Aleksandrov, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko Uspekhi Mat. Nauk, 23:6(144) (1968), 187–196
32.	L. S. Pontryagin Seminar on Mathematical Problems of Theory of Oscillations and Automatic Control R. V. Gamkrelidze Uspekhi Mat. Nauk, 12:3(75) (1957), 267–272

Presentations in Math-Net.Ru

1.	Инвариантное представление принципа максимума Conference "Differential Equations and Optimal Control", dedicated to the 90th anniversary of E. F. Mishchenko April 16, 2012 11:05
2.	Первоначальная форма принципа максимума Понтрягина Seminar of the Department of Differential Equations, Steklov Mathematical Institute March 17, 2010 12:00
3.	О гамильтоновой форме принципа максимума Понтрягина Seminar of the Department of Differential Equations, Steklov Mathematical Institute February 17, 2010 12:00
4.	Hamiltonian format of Pontryagin's maximum principle International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 18, 2008 10:20

Organisations

Steklov Mathematical Institute of the Russian Academy of Sciences

Registration