Publications

Revaz V. Gamkrelidze

Submitted

[74] R. V. Gamkrelidze, Principles of optimal control theory

2014

[73] R. V. Gamkrelidze, Differential-geometric and invariance properties of the equations of Maximum Principle (MP)

2011

[72] A.A. Agrachev, R.V. Gamkrelidze, The geometry of maximum principle

2010

[71] R. V. Gamkrelidze, The Pontryagin derivative in optimal control

2009

[70] R. V. Gamkrelidze, Hamiltonian form of the maximum principle

2008

[69] R.V. Gamkrelidze, The Pontryagin derivative in optimal control

2006

[68] R. V. Gamkrelidze, Discovery of the maximum principle
[67] A.A. Agrachev, R.V. Gamkrelidze, Vector fields on n-bundles over 2n-dimensional manifolds
[66] A.A. Agrachev, R.V. Gamkrelidze, The Pontryagin Maximum Principle 50 years later   

2004

[65] Anosov D. V., R. V. Gamkrelidze, Emel'yanov S. V., Il'in V. A., Korovin S. K., Kurzhanskiĭ A. B., Marchuk G. I., Matrosov V. M., Mishchenko E. F., Moiseev E. I., Osipov Yu. S., Pliss V. A., Rumyantsev V. V., Chernous'ko F. L., Nikolaĭ Nikolaevich Krasovskiĭ (on the occasion of his eightieth birthday)

2003

[64] R. V. Gamkrelidze, Discovery of the maximum principle in optimal control

1999

[63] R. V. Gamkrelidze, Discovery of the maximum principle
[62] R. V. Gamkrelidze, Mathematical Work of L. S. Pontryagin  

1998

[61] R. V. Gamkrelidze, The mathematical work of L. S. Pontryagin  
[60] A.A. Agrachev, R.V. Gamkrelidze, Symplectic methods for optimization and control  

1997

[59] A.A. Agrachev, R.V. Gamkrelidze, Feedback-invariant optimal control theory and differential geometry, I. Regular extremals  

1995

[58] A. A. Agrachev, R. V. Gamkrelidze, On the orbits of groups of diffeomorphisms and flows  

1994

[57] A.A. Agrachev, R.V. Gamkrelidze, The shuffle product and symmetric groups

1993

[56] A.A. Agrachev, R.V. Gamkrelidze, Local Controllability and Semigroups of Diffeomorphisms  
[55] A.A. Agrachev, R.V. Gamkrelidze, Local controllability for families of diffeomorphisms  

1991

[54] A.A. Agrachev, R.V. Gamkrelidze, Volterra series and groups of permutations   
[53] A.A. Agrachev, R.V. Gamkrelidze, Symplectic geometry and necessary conditions for optimality  

1990

[52] A.A. Agrachëv, R.V. Gamkrelidze, The “time substitution” variation in optimal control
[51] A.A. Agrachev, R.V. Gamkrelidze, Symplectic geometry for optimal control  

1989

[50] V. G. Boltyanskii, R. V. Gamkrelidze, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. B. Rudyak, Mikhail Mikhailovich Postnikov (on his 60th birthday)  
[49] 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, Academician Lev Semenovich Pontryagin (obituary)  
[48] A.A. Agrachev, R.V. Gamkrelidze, Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets   
[47] A.A. Agrachev, R.V. Gamkrelidze, The quasi-extremality for controlled systems   
[46] A.A. Agrachev, R.V. Gamkrelidze, S.A. Vakhrameev, Ordinary differential equations on vector bundles and the chronological calculus  
[45] A.A. Agrachev, A.V. Sarychev, R.V. Gamkrelidze, Local invariants of smooth control systems  

1988

[44] A.A. Agrachev, R.V. Gamkrelidze, Computation of the Euler characteristic of intersections of real quadrics  

1986

[43] L. S. Pontryagin, V. G. Boltyanskiĭ, R. V. Gamkrelidze, E. F. Mishchenko, Selected works
[42] A.A. Agrachev, R.V. Gamkrelidze, The Morse index and the Maslov index for smooth control systems  

1985

[41] R. V. Gamkrelidze, Sliding modes in optimal control theory  
[40] A.A. Agrachev, R.V. Gamkrelidze, The index of extremality and quasiextremal controls  

1984

[39] D. V. Anosov, R. V. Gamkrelidze, E. F. Mishchenko, M. M. Postnikov, The mathematical work of L. S. Pontryagin  

1983

[38] Л. С. Понтрягин, В. Г. Болтянский, Р. В. Гамкрелидзе, Е. Ф. Мищенко, Математическая теория оптимальных процессов
[37] A. A. Agrachev, S. A. Vakhrameev, R. V. Gamkrelidze, Differential geometric and group theoretic methods in optimal control theory  

1980

[36] A.A. Agrachev, Gamkrelidze R.V., The chronological algebras and nonstationary vector fields  

1978

[35] L. Pontriaguine, V. Boltianski, R. Gamkrélidzé, E. Michtchenko, Théorie mathématique des processus optimaux
[34] R. V. Gamkrelidze, “L. S. Pontryagin, “The method of coordinates” (a review)”  
[33] A.A. Agrachev, Gamkrelidze R.V., The exponential representation of flows and the chronological calculus  

1977

[32] R. V. Gamkrelidze, Exponential representation of solutions of ordinary differential equations
[31] Р. В. Гамкрелидзе, Основы оптимального управления

1976

[30] A.A. Agrachev, R.V. Gamkrelidze, A second order optimality principle for a time-optimal problem  

1975

[29] Р. В. Гамкрелидзе, Основы оптимального управления

1974

[28] R. V. Gamkrelidze, G. L. Kharatishvili, A differential game of evasion with nonlinear control
[27] L. Pontriaguine, V. Boltianski, R. Gamkrelidze, E. Michtchenko, Théorie mathématique des processus optimaux

1971

[26] R. V. Gamkrelidze, Necessary first order conditions, and the axiomatics of extremal problems  

1969

[25] R. V. Gamkrelidze, G. L. Kharatishvili, Extremal problems in linear topological spaces  

1968

[24] P. S. Aleksandrov, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko, Lev Semenovich Pontryagin (on the occasion of his sixtieth birthday)  

1967

[23] R. V. Gamkrelidze, Extremal problems in finite-dimensional spaces
[22] R. V. Gamkrelidze, Kharatishvili G. L., Extremal problems in linear topological spaces. I
[21] R. V. Gamkrelidze, G. L. Haratišvili, The theory of the first variation in extremal problems

1965

[20] R. V. Gamkrelidze, On some extremal problems in the theory of differential equations with applications to the theory of optimal control
[19] R. V. Gamkrelidze, On a theory of the first variation

1964

[18] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko, The mathematical theory of optimal processes
[17] L. S. Pontrjagin, V. G. Boltjanskij, R. V. Gamkrelidze, E. F. Miščenko, Mathematische Theorie optimaler Prozesse

1962

[16] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishchenko, The mathematical theory of optimal processes
[15] R. V. Gamkrelidze, On sliding optimal states

1961

[14] L. S. Pontrjagin, V. G. Boltjanskiĭ, R. V. Gamkrelidze, E. F. Miščenko, The mathematical theory of optimal processes
[13] Л. С. Понтрягин, В. Г. Болтянский, Р. В. Гамкрелидзе, Е. Ф. Мищенко, Математическая теория оптимальных процессов
[12] V. G. Boltjanskiĭ, R. V. Gamkrelidze, L. S. Pontryagin, The theory of optimal processes. I. The maximum principle

1960

[11] V. G. Boltyanski, R. V. Gamkrelidze, E. F. Mishchenko, L. S. Pontryagin, The maximum principle in the theory of optimal processes of control (with discussion)
[10] R. V. Gamkrelidze, Optimal control processes for bounded phase coordinates  
[9] V. G. Boltyanskii, R. V. Gamkrelidze, L. S. Pontryagin, Theory of optimal processes. I. The maximum principle  

1959

[8] R. V. Gamkrelidze, Optimum-rate processes with bounded phase coordinates

1958

[7] R. V. Gamkrelidze, On the general theory of optimal processes
[6] R. V. Gamkrelidze, Theory of processes in linear systems which are optimal with respect to rapidity of action  

1957

[5] R. V. Gamkrelidze, On the theory of optimal processes in linear systems
[4] R. V. Gamkrelidze, L. S. Pontryagin Seminar on Mathematical Problems of Theory of Oscillations and Automatic Control  

1956

[3] V. G. Boltyanskiĭ, R. V. Gamkrelidze, L. S. Pontryagin, On the theory of optimal processes
[2] R. V. Gamkrelidze, Chern's cycles of complex algebraic manifolds  

1953

[1] R. V. Gamkrelidze, Computation of the Chern cycles of algebraic manifolds