Valentin Vitalievich Rumyantsev ( July 19, 1921 , Novaya Skatovka , Saratov province - June 10, 2007 , Moscow ) - Soviet and Russian mechanic, academician of the Russian Academy of Sciences since 1992 in the Department of Engineering Problems, Mechanics and Control Processes . Member of the Bureau of the Branch (1985-2002).
| Valentin Vitalievich Rumyantsev | |||||||
|---|---|---|---|---|---|---|---|
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| Date of Birth | July 19, 1921 | ||||||
| Place of Birth | New Skatovka , Saratov district , Saratov province , RSFSR | ||||||
| Date of death | June 10, 2007 (aged 85) | ||||||
| Place of death | Moscow , Russia | ||||||
| A country |  USSR →  Russia | ||||||
| Scientific field | Mechanics | ||||||
| Place of work | Moscow State University | ||||||
| Alma mater | Saratov State University | ||||||
| Academic title | Corresponding Member of the USSR Academy of Sciences Academician of RAS | ||||||
| supervisor | N. G. Chetaev | ||||||
| Famous students | V.N. Rubanovsky , A.T. Fomenko | ||||||
| Awards and prizes |
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Content
Biography
He graduated from the Physics and Mathematics Department of Saratov State University with a degree in mechanics (1945).
Specialist in the field of theoretical mechanics and theory of stability of motion . Pupil of Nikolai Guryevich Chetaev .
He taught at Moscow University, professor at the Department of Theoretical Mechanics and Mechatronics, Moscow State University M. V. Lomonosov . Member of specialized councils for the award of academic degrees at Moscow State University. M.V. Lomonosov and the Computing Center of the Russian Academy of Sciences .
Editor- in -chief of the journal " Applied Mathematics and Mechanics " (1981-2007).
Corresponding Member (1995), Full Member (2000) of the International Academy of Astronautics (France, Paris).
Foreign member of the Turin Academy of Sciences ( Italy ) in the department of mathematics, physics and natural sciences.
Honorary Member of the International Academy of Nonlinear Sciences (1996).
Foreign Member of the Serbian Academy of Sciences and Arts (1997).
He was awarded the Order of the Red Banner of Labor (1975, 1981), the Order of the October Revolution (1981), and the Order of Honor (2002).
Laureate of the USSR State Prize (1980), RF State Prize for the cycle of work “Dynamics of a rigid body on a string and related problems” (1996), Prizes of the Presidium of the USSR Academy of Sciences (1950), Prizes named after S. A. Chaplygin (Academy of Sciences of the USSR, 1958), Prizes named after A. Humboldt (1997-1998). In 2004, the A. M. Lyapunov Prize of the Russian Academy of Sciences was awarded for a series of works on the modification and development of the Lyapunov function method in the theory of stability and stabilization of motion with respect to a part of variables.
He was awarded the international scientific prize "Cataldo Agostinelli and Angiola Gili Agostinelli" ( Italy , 1999).
He prepared about 50 candidates and 20 doctors of sciences.
Published over 180 scientific papers, including 6 monographs.
He died on June 12, 2007, was buried in Moscow, at the Vostryakovsky cemetery [1] .
Main scientific works
- Moiseev N.N. , Rumyantsev V.V. Dynamics of a body with cavities containing a liquid. - M.: “Science”, 1965. - 439 p.
- Stability of stationary motion of satellites (1967);
- Dynamics and stability of rigid bodies (1972);
- The stability of conservative and dissipative systems (1972);
- Stability and stabilization of movement in relation to part of the variables (1987);
- Stability and control in terms of the coordinates of the phase vector of dynamical systems (2001).
School of Science
- Vozlinsky, Vladimir Izrailevich
- Kirgetov, Anatoly Vladimirovich
- Kolesnikov, Nikolai Nikolaevich
- Oziraner, Alexander Solomonovich
- Rubanovsky, Vladimir Nikolaevich
- Tselman, Friedrich Haskelevich
- 1949
On the reduction of elliptic integrals to canonical form // Ing. Sat T. 5. Issue. 2, pp. 213–218.
- 1954
On the stability of rotation of a heavy rigid body with one fixed point in the case of ST. Kovalevskaya // Prikl. T. 18. Issue. 4, pp. 457–458.
Equations of motion of a solid body having cavities not completely filled with liquid // Prikl. T. 18. Issue. 6, pp. 719-728.
- 1955
On the equations of motion of a solid with a cavity filled with liquid // Prikl. T. 19. Issue. 1.S. 3-12.
On the stability of the helical motion of a solid in a liquid under the conditions of Chaplygin S. A. // Prikl. T. 19. Issue. 2, p. 229-230.
- 1956
Stability of Permanent Rotations of a Heavy Rigid Body // Prikl. T. 20. Issue. 1, p. 51-66.
On the theory of stability of controlled systems // Prikl. T. 20. Issue. 6, pp. 714-722.
- 1957
On the stability of permanent rigid body rotations near a fixed point // Prikl. T. 21. Issue. 3, pp. 339—346.
To the problem of the motion of a heavy rigid body with one fixed point // Dokl. Academy of Sciences of the USSR. T. 116. No. 2. P. 185-188.
On the stability of motion with respect to a part of variables // Vestn. Moscow State University. Ser. Mathematics, mechanics, astronomy, physics, chemistry. No. 4. S. 9-16.
Stability of rotation of a solid with an ellipsoidal cavity filled with liquid // Prikl. T. 21. Issue. 6, pp. 740-748.
The great Russian scientist Lyapunov AM // Vestn. Academy of Sciences of the USSR. No. 6. S. 44-49.
- 1958
On the stability of the gyroscope in the gimbal . I // PMM. T. 22. Issue. 3, pp. 374-378.
On the stability of the gyroscope in the gimbal . II // PMM. T. 22. Issue. 4, pp. 499-503.
- 1959
On the stability of Maclaurin ellipsoids of a rotating fluid // Prikl. T. 23. Vol. 3, pp. 494-504.
On the stability of the equilibrium of a solid having cavities filled with liquid // Dokl. Academy of Sciences of the USSR. T. 124. No. 2. S. 291-294.
On the stability of rotational motions of a solid with liquid filling // Prikl. T. 23. Vol. 6, pp. 1057-1065.
- 1960
Review of scientific works of N. G. Chetaev // Prikl. T. 24. Issue. 1, pp. 171-200. (With M. Sh. Aminov, A. A. Epiphany, V. I. Kirgetov, N. N. Krasovsky, P. A. Kuzmin.)
One theorem on the stability of motion // Prikl. T. 24. Issue. 1, pp. 47-54.
On the stability of motion of a top with a cavity filled with a viscous fluid // Prikl. T. 24. Issue. 4, pp. 603-609.
- 1961
On the stability of the movement of gyrostats // Prikl. T. 25. Issue. 1, p. 9-16.
On the stability of the movement of gyrostats of a certain type // Prikl. T. 25. Issue. 4, pp. 778–784.
On the motion of some systems with imperfect connections // Tomsk State University Journal. Moscow State University. Ser. Mathematics, mechanics. No. 5. S. 67-75.
On systems with friction // Prikl. T. 25. Issue. 6, pp. 969–977.
- 1962
A stability motion theorem and its application to the investigation of stability of a rigid body filled with fluid // Proc. 10lh Intern. Congr. Appl. Mech Stresa, 1960. Amsterdam; New York: Elsevier. P. 330-332.
Stability of the motion of a solid with cavities filled with liquid // Tr. All-Union. Congress on the theory. and adj. mechanics. Moscow, 1960. M.: Publishing House of the USSR Academy of Sciences. S. 57-71.
On the stability of steady motions of solids with cavities filled with liquid // Prikl. T. 26. Issue. 6, pp. 977–991.
On the stability of uniform rotations of mechanical systems // Izv. Academy of Sciences of the USSR. Rel. Mechanics and mechanical engineering. No. 6. S. 113-121.
On the stability of steady motions of a solid with a cavity filled with liquid // Proc. report Interuniversity. conf. by prikl. theory of stability of motion and analyte. mechanics. Kazan: Kazan publishing house, aviation Inst. S. 26-27.
- 1963
The minimum problem in the question of the stability of motion of a solid with a cavity filled with liquid // Prikl. T. 27. Issue. 1, pp. 16-26. (Together with G.K. Pozharitsky.)
Lyapunov methods in the study of the stability of motion of solids with cavities filled with liquid // Izv. Academy of Sciences of the USSR. Mechanics and mechanical engineering. No. 6. S. 119-140.
- 1964
Stability of motion of solid bodies with liquid-filled cavities by Lyapunov's methods // Advanced in Applied Mechanics. NY L .: Acad. Press V. 8. P. 183-232.
Life and work of N. G. Chetaev in the Moscow period // Tr. interuniversity. conf. by prikl. theory of stability of motion and analyte. mechanics. Kazan: Kazan publishing house, aviation Inst. S. 10-17.
On the stability of motion of a solid with a liquid with surface tension // Prikl. T. 28. Issue. 4, pp. 746–753.
- 1965
Investigation of the stability of motion of solids with cavities filled with liquid // Tr. 2nd All-Union. Congress on the theory. and adj. mechanics. Moscow, 1964. M.: Science. Issue 1, p. 153-169.
The stability of gyroscopes, gyrostats and gyroscopic systems // Tr. 2nd All-Union. Congress on the theory. and adj. mechanics. Moscow, 1964. M.: Science. Issue 2, pp. 199-216. (Together with V.N. Skimel.)
Body dynamics with fluid-containing cavities. M .: Science. 439 p. (Comm. With N.N. Moiseev.)
- 1966
On the theory of motion of solids with cavities filled with liquid // Prikl. T. 30. Issue. 1.S. 51-66.
Nonlinear methods in the theory of stability motion of solids with liquid-filled cavities // Proc. 1 llh Intern. Congr. Appl. Mech., Munich, 1964. Berlin: Springer. P. 449-454.
On the stability of motion of nonholonomic systems // Proc. brief scientific. message International Congr. mathematicians. Section 12. Moscow, 1966. M.: ICM. S. 48.
On the stability of stationary motions // Prikl. T. 30. Issue. 5, pp. 922–933.
On stationary motions and their stability // Dokl. Academy of Sciences of the USSR. T. 171. No. 4. P. 823-826.
- 1967
On the stability of motion of nonholonomic systems // Prikl. T. 31. Issue. 2, pp. 260—271.
On the stability of stationary motions of a satellite with a rotor and a cavity containing a liquid // Cosmic. researches T. 5. Issue. 2, pp. 163-169.
On the stability of stationary motion of satellites. M.: Publishing House of the Central Academy of Sciences of the USSR. 141 p.
On the stability of stationary motions // Sat. resume of the 2nd Cong. Bulgarian mathematicians. Varna, 1967. Sofia: Publishing House B AN.
- 1968
To the problem of stability of stationary satellite motions // Cosmic. researches T. 6. No. 2. P. 163-167.
On the stability of stationary motions // Prikl. T. 32. Issue. 3, pp. 504-508.
On the stability of relative equilibria and stationary motions of a gyrostat satellite // Ing. journals MTT. No. 4. S. 15-21.
On the stability of stationary motions of free systems // Cosmic. researches T. 6. No. 2. P. 643-648.
On the motion and stability of a solid with a rotor and fluids with surface tension // Introduction to the dynamics of a body with a liquid under zero gravity. M.: Publishing House of the Computing Center of the Academy of Sciences of the USSR. S. 222-249.
On the stability of steady motions // Proc. 12lh Intern. Congr. Appl. Mech Stanford, 1968. Berlin: Springer, 1969. P. 419.
Method of Lyapunov functions in the theory of stability of motion // Mechanics in the USSR for 50 years. M .: Science. T. 1. S. 7-66.
Dynamics Stability of Bodies Containing Fluid. Berlin: Springer. 345 p. (Comm. With N.N. Moiseev.)
On stability of stationary motions of the gyrostat-satellite // Proc. 18lh Intern. Astronaut. Congr. Beograde, 1967. Oxford: Pergamon Press; Polish Scient. Publ. V. 1. P. 103
- 1969
On the issue of stability of motion of solids with liquid filling // Problems of hydrodynamics and mechanics of a continuous medium. M .: Science. S. 447-451.
On the stability of motions of the rigid bodies with cavities containing liquid // Colloq. Intern. Evolution d'Attitude et stabilization des Satellites. Paris, 1968. Paris: Center Nat. Etud. Spat. P. 197-21.
On the motion and stability of an elastic body with a cavity containing a liquid // Prikl. T. 33. Issue. 6, pp. 946–957.
On the stability of motion of liquid-filled rigid bodies // Problems of Hydrodynamics and continuum mechanics. Philadelphia: SIAM. P. 626-631.
- 1970
About orientation control and satellite stabilization by rotors // Vestn. Moscow State University. Ser. Mathematics, mechanics. No. 2. S. 83-96.
On the optimal stabilization of controlled systems // Prikl. T. 34. Issue. 3, pp. 440–456.
- 1971
On asymptotic stability and instability of motion with respect to a part of variables // Prikl. T. 35. Issue. 1, pp. 138-143.
On the stability with respect to a part of the variables // Sympos. Mathematica NY- L .: Acad. Press V. 6. P. 243-265.
On the control and stabilization of systems with cyclic movements // Ref. report 5th All-Union. conference by probl. management. Moscow, 1971. Part 3. M.: Science. S. 156.
Some problems of the dynamics of complex systems // Problems of Applied Mathematics and Mechanics. M .: Science. S. 179-188.
Stability of steady motions of satellites // Theoretical and applied mechanics. Sofia: BAN Publishing House. T. 2.P. 89-99.
Some problems of the dynamics of complex systems // In coll. “Tasks of Applied Mathematics and Mechanics” (dedicated to the 60th anniversary of A. A. Dorodnitsyn). M .: Science. S.179-188, 282.
- 1972
The method of Lyapunov functions in the problem of stability of motion with respect to a part of variables // Prikl. T. 36. Issue. 2, p. 364-384. (Coll. With A. S. Oziraner.)
Some problems of motion stability with respect to a part of variables // Continuum Mechanics and Related Problems of Analysis. M .: Science. S. 429-436.
On the control and stabilization of systems with cyclic coordinates // Prikl. T. 36. Issue. 6, pp. 966–976.
On the stability and stabilization of stationary satellite motions // Control in space. M .: Science. T. 1.P. 158-168.
Dynamics and stability of rigid bodies // I Ciclo. 1971. Bressanone. Stereodynamics. Roma: Edizioni Cremonese. P. 167-271.
- 1973
On the stability of stationary motions of a gyrostat satellite // Modern problems of celestial mechanics and astrodynamics. M: Science. S. 171-178.
Some problems on the stability of motion of solids and elastic bodies with liquid filling // Tr. symposium on continuum mechanics and related problems of analysis. Tbilisi, 1971. Tbilisi: Metznireba. T. 1.P. 214-225.
On bifurcation and stability of steady motions of complex mechanical systems // Prikl. T. 37. Issue. 3, pp. 387-399. (Together with V. M. Morozov, V. N. Rubanovsky, V. A. Samsonov.)
On the Chetaev principle // Dokl. Academy of Sciences of the USSR. T. 210. No. 4. P. 787-790.
On the stability of steady satellite motions // Proc. report 24th International astronaut, congr. Baku, 1973. M.S. 356.
On some variational principles in the mechanics of continuous media // Prikl. T. 37. Issue. 6, pp. 963–973.
- 1974
On the principles of Gauss and Chetaev for systems with imperfect connections // Teoret. and adj. Mechanics. T. 5. No. 1. S. 9-14.
On the stability of the orientation of a dynamically symmetric satellite at libration points // Izv. Academy of Sciences of the USSR. MTT. No. 2. S. 3-8.
On the stability of the orientation of a gyrostat satellite in equilibrium positions at libration points // Selected Problems of Applied Mechanics. M .: VINITI. S. 605-616.
About orientation control and satellite stabilization by rotors at libration points // Pubis. Inst. Math. Belgrade. V. 17. P. 139-148.
- 1975
On the compatibility of the two basic principles of dynamics and the Chetaev principle // Problems of analytical mechanics, stability and control theories. M .: Science. S. 258-267.
Two problems on the stabilization of motion // Izv. Academy of Sciences of the USSR. MTT. No. 5. S. 5-12.
On the effect of gyroscopic forces on the stability of stationary motion // Prikl. T. 39. Issue. 6, pp. 963–973.
- 1976
On the motion of controlled mechanical systems // Prikl. T. 40. Issue. 5, pp. 771–781.
On the compatibility of differential principles of mechanics // Aeromechanics and gas dynamics. M .: Science. S. 172-178.
On some variational principles of mechanics // Sat. scientific and methodical articles on theoretical mechanics. M .: Higher. school Issue 6, p. 32-43.
Stability of the movement of nonholonomic systems // Itogi Nauki. General mechanics. M .: VINITI. T. 3. S. 5-42. (With A.V. Karapetyan.)
- 1977
On the stability of systems with a generalized potential force // Vestn. Moscow State University. Ser. Mathematics and mechanics. No. 5. S. 93-100.
Variational principles of classical mechanics // Mathematical Encyclopedia. M .: Sov. encyclopedia. T. 1. P. 596-603.
- 1978
On some problems of analytic dynamics // Teoret. and adj. Mechanics. T. 9. No. 1. S. 7-15.
On the Hamilton principle for nonholonomic systems // Prikl. T. 42. Issue. 3, pp. 387-399.
On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems // ZAMM. Bd. 58. H. 11. S. 477-181. (Coll. With A. S. Sumbatov.)
On the Hamilton principle and the generalized Jacobi method for nonholonomic systems // Theog. i Primen. Mehanika. Beograd. No. 4. S. 131-137.
On some variational principles of mechanics // Tr. 4th All-Union. Congress on the theory. and adj. mechanics. Kiev, 1976. Kiev: Science, Dumka. S. 74-90.
- 1979
On the stability of motion of complex mechanical systems // Uspekhi mekhaniki. T. 2. Woo. 2, p. 53-79. (Coll. With V.N. Rubanovsky.)
On the dynamics and stability of gyrostats // Uspekhi mekhaniki. T. 2. Issue. 3. S. 4-45. (Coll. With A. Anchev.)
On the influence of gyroscopic and dissipative forces on the stability of steadystate motion // Rend. Semin. Mat. Univ. e Politech. Torino V. 37. No. 2. P. 1-6.
Oscillations and stability of solids with cavities filled with liquid // Vibration in technology. M .: Engineering. T. 2.P. 280-306. (Together with V.N. Rubanovsky, S. Ya. Stepanov.)
On the principles of Lagrange and Jacobi for nonholonomic systems // Prikl. T. 43. Issue. 4.P. 583-590. 1980
On the stability of rotation of a heavy gyrostat on a horizontal plane // Izv. Academy of Sciences of the USSR. MTT. No. 4. S. 11-21.
- 1981
On the development of optical-mechanical analogy in the works of N. G. Chetaev // Stability of motion. Analytical mechanics. Motion control. M .: Science. S. 4-18.
On stability of motions of conservative systems // Qual. Theory Different. Equations. Amsterdam: North Holland. V. 2. P. 865-901.
About the opto-mechanical analogy of N. G. Chetaev // Studies in the history of mechanics. M .: Science. S. 173-181.
Certain variational principles of mechanics // Advances in Theoretical and Applied Mechanics. Moscow: Mir. P. 36-52.
On some problems of stability and oscillations of nonholonomic systems // Proc. report 9th International conf. by nonlinear oscillations. Kiev, 1981.P. 284.
Some stability problems of steady motions of nonholonomic systems // Theoretical and Applied Mechanics. 4 nat. Congr. Varna, 1981. Sofia: BAN. Prince 1, p. 106
- 1982
On integral principles for nonholonomic systems // Prikl. T. 46. Issue. 1, pp. 3-12.
On stability problem of a top // Rend. Sem. Mat. Univ. Padova. V. 68. P. 119-128.
On some nonlinear problems of analytical mechanics and theory of stability // Nonlinear Phenomena in Mathematical Sciences. NY: Acad. Press P. 869-881.
To the problem of the stability of rotation of a heavy gyrostat on a horizontal plane with friction // Modern Problems of Mechanics and Aviation. M .: Engineering. S. 263-272.
- 1983
To the problem of the stability of motion of complex mechanical systems // Problems of Mathematics and Mechanics. Novosibirsk: Science. S. 185-195.
Stability of conservative and dissipative systems // Itogi Nauki i Tekhniki. General mechanics. M .: VINITI. T. 6. 132 p. (With A.V. Karapetyan.)
On some problems of analytical dynamics of nonholonomic systems // Proc. IUTAM - ISIMM Sympos .: Modern Developments in Analytical Mechanics. Torino, 1982. Torino: Acad. Sci. V. 2. P. 697-716.
To the dynamics of a rigid body suspended on a string // Izv. Academy of Sciences of the USSR. MTT. No. 4. S. 5-15.
On the development of research in the USSR on the theory of stability of motion // Differ. equations. T. 19. No. 5. P. 739—776.
- 1984
On the dynamics of Lagrangian rheonomic systems with connections // Prikl. T. 48. Issue. 4, pp. 540-550.
On the stability and vibrations of nonholonomic systems // 9th Intern. conf. by nonlinear oscillations. Kiev, 1981. Kiev: Science, Dumka. T. 2.P. 347-352.
- 1985
On the basic laws and variational principles of classical mechanics. Preprint No. 257. M.: Inst. mechanics of the Academy of Sciences of the USSR. 25 sec
On stationary motions of a heavy symmetric rigid body suspended on a string // Izv. Academy of Sciences of the USSR. MTT No. 5. P. 3-7. (Coll. With V.N. Rubanovsky.)
On various forms of the kinetic energy theorem // Theor. i Primen. Meh. No. 11. S. 147-154.
- 1986
On the stability of steady motions of systems with quasicyclic coordinates // Prikl. T. 50. Issue 6. 6. P. 918–927.
On some issues of analytical mechanics // Problems of analytical mechanics and motion control. M .: VTs AN SSSR. S. 20-36.
- 1987
Branching and stability of stationary motions of a symmetric body suspended on a string // Problems of Applied Mathematics and Computer Science. M .: Science. S. 21-33. (Coll. With V.N. Rubanovsky.)
Stability and stabilization of movement in relation to part of the variables. M .: Science. 253 p. (Coll. With A. S. Oziraner.)
On the basic laws of classical mechanics // Mechanics and scientific and technological progress. M .: Science. T. I. S. 256-273.
Parametric examination of dynamical nonholonomic systems and two problems of dynamics // Different. Equat .: Qualit. Theory. 2nd Colloq. Amsterdam: North-Holland. V. 2. P. 883–919.
On the stability and stabilization of motion with respect to a part of variables // Modern problems of mathematical physics: Tr. All-Union. symposium Tbilisi: Tbil Publishing House. un-that. T. 1.S. 85-100.
- 1988
Leonard Euler and the variational principles of mechanics // Development of the ideas of Leonard Euler and modern science. M .: Science. S. 180-207.
On stability and stabilization with respect to a part of variables // Abstracts. 17th Intern. Congr. Theoret. and appl. Mech Grenoble VBP 163-164.
- 1989
On the "Analytical Mechanics" of Lagrange. Preprint No. 421. M: Inst. mechanics of the Academy of Sciences of the USSR. 32 sec
On the inverse of the Lagrange theorem for a solid with a cavity containing an ideal fluid // Prikl. T. 53. Issue. 4, pp. 608-612. (With V.A. Vladimirov.)
- 1990
To the inverse of the Lagrange theorem for a solid with a cavity containing a viscous fluid // Prikl. T. 54. Issue. 2. S. 190-200. (With V.A. Vladimirov.)
On the principal laws of classical mechanics // Mechanical Engineering and Applied Mechanics. V. 1. General and Applied Mechanics. NY: Hemisphere. P. 257-273.
Stability of conservative and dissipative systems // Applied Mechanics. Soviet Rewiews. V. 1. Stability and Analytical Mechanics. NY: Hemisphere. P. 1-144. (With A.V. Karapetyan.)
On the Poincare-Chetaev equations // Sat. tr. 5th All-Union. conf. by analyte. mechanics, stability theory and motion control (Analytical mechanics). M .: VTs AN SSSR. S. 3-18.
On the stability of permanent rotations of an asymmetric gyro with liquid filling // Izv. Academy of Sciences of the USSR. MTT. No. 6. S. 4-9.
- 1992
On the stability of steady motions of a gyroscope with liquid filling // Problems of Applied Mathematics and Computer Science: Dokl. conf. Moscow, 1990. M. Ch. 1. S. 30-46.
Stability of steady motions of rigid bodies with cavities containing liquid // 18th Intern. Congr. Theoret. and appl. Mech Haifa, 1992. P. 126.
On the stability of steady motions of a solid with a cavity containing a liquid // Nonlinear Problems of Machine Mechanics. M .: Science. S. 218-225.
On stability of steady motions of rigid body with liquid-filled cavity // World Congr. on Nonlinear Analysis 92. Tampa, R, 1992. Berlin: de Gruyter. P. 1287-1294.
- 1993
Optimal stabilization of motion with respect to a part of variables // Izv. RAS Tech. cybernetics. No. 1. 1993. S. 184-189.
On Poincare-Chetayev equations // Congr. Intern. H. Poincare. Abstracts. P. 137.
Stability of stationary motions of rigid body with cavities, containing liquid // Ist Europ. Nonlineai Oscillations Conf. Program and Abstracts. P. 137.
On the instability of the equilibrium of holonomic conservative systems // Prikl. T. 57. Issue. 6, pp. 144-166. (With S.P.Sosnitsky.)
- 1994
On the Poincare-Chetaev equations // Dokl. RAS. T. 338. No. 1. S. 51-53.
On the Poincare-Chetaev equations // Prikl. T. 58. Issue. 3, p. 3-16.
On the Poincare and Chetaev equations // Sat. report 1st All-Russian. seminar of the heads of the departments of the theoret. mechanics. SPb. S. 190-202. 1995
Comparison of three methods for constructing Lyapunov functions // Prikl. T. 59. Issue. 6, pp. 916–921.
Stability analysis for sets of solutions // Nonlinear Anal., Theory, Meth. and appl. V. 24. No. 6. P. 801-823. (Coll. With E. A. Halperin.)
- 1996
General equations of analytical dynamics // Prikl. T. 60. Issue. 6, pp. 917–928.
Comparison of three methods for constructing Lyapunov functions // Comput. Mathematics and Computer Science: Sat. report on scientific session dedicated. The 85th anniversary of A.A. Dorodnitsyn. Moscow, 1995. M.: VTs RAS. S. 60-73.
Direct Lyapunov method for nonlinear stability problems of steady motions of bodies with cavities keeping liquid // 1st World Congr. of Nonlinear Analysis. Abstracts. Tampa, Florida, 1992. Berlin New York .: Watter de Gruyter. P. 1287-1294.
- 1998
Hamilton equations for relative motion // Tomsk State University Journal. Moscow State University. Ser. Mathematics and mechanics. No. 1. S. 73-77. (Coll. With O. A. Vodopyanova)
The general equations of analytical dynamics // Modern Methods of Analytical Mechanics and theii Applications. CISM Courses and Lectures. No. 387 // Ed. by VV Rumyantsev and AV Karapetyan. Wien - New York: Springer. P. 1-54.
On general equations of analytical dynamics // Proc. 3rd Int. Conf. Nonlinear Mechanics. Shanghai 1998. Shanghai. P. 95-100.
On the general equations of analytical dynamics // Actual problems of classical and celestial mechanics. M .: LLP "Elf" Ltd. S. 119-127.
Analytical mechanics // In the book: “The Development of General Mechanics in Russia and Ukraine in the 20-80s of the XX Century”. M .: Nauka, Kiev: Phoenix. S.8-38 (with A.S.Sumbatov).
- 1999
On forms of the Hamilton principle in quasi-coordinates // Prikl. T. 63. Issue. 2, pp. 172-178.
On the Poincare and Chetaev equations in the parameters of Rodrig - Hamilton // Problems of analytical mechanics and its applications. Kiev .: Institute of Mathematics, National Academy of Sciences of Ukraine. S. 330—337.
On various forms of the Hamilton principle for nonholonomic systems // Sovrem. prob. mechanics. Thes. report Anniversary. scientific conf., dedicated. 40th anniversary of the Institute of Mechanics of Moscow State University. Moscow, 1999 Moscow: Publishing House of Moscow State University. S. 770-774.
- 2000
On generalized Poincare and Chetaev equations // Izv. universities. North Caucasus region. Natural science. No. 3. S. 133-137.
Forms of Hamilton's principle for nonholonomic system // Facta Universitatis. Ser. Mechanics, Automatic Control and Robotics. V. 2. No. 10. P. 1035-1048.
On generalized Poincare and Chetaev equations // Probl. nonlinear analysis in engineering systems. T. 6. Issue. 2 (12). S. 56-65.
- 2001
On the Routh equations and variational principles // Prikl. T. 65. Issue. 4, pp. 557-566.
Stability and control in terms of the coordinates of the phase vector of dynamical systems: theory, methods and applications. M .: Scientific. World. 2001.320 s. (Coll. With V.I. Vorotnikov)
- 2002
On generalized Routh equations and variational principles in Poincare and Chetaev variables // Prikl. T. 66. Issue. 6. S.914-921.
N. G. Chetaev (on the centenary of his birth) // Prikl. 2002.V. 66. Issue. 6, pp. 899–907.
- 2004
Collection "Tasks of the study of stability and stabilization of movements." Review of 1975-2000 (part I) // Int. Sat: "Problems of Nonlinear Analysis in Engineering Systems (Methods, approaches, hypotheses, solutions)." Issue 1 (20). T.10 ,. Kazan. state tech. University (Kazan Aviation Institute). S.113-137 <S.113-127 - Russian., S.127-137 - English. Appendix>. (Together with V. S. Sergeev, S. Ya. Stepanov, A. S. Sumbatov)
Collection "Tasks of the study of stability and stabilization of movements." Review of 1975-2000 (part II). // Int. Sat: "Problems of Nonlinear Analysis in Engineering Systems (Methods, approaches, hypotheses, solutions)." Issue 2 (21). T.10 ,. Kazan. state tech. University (Kazan Aviation Institute). S.72-94 <S.72-81 - Russian., S.82-94 - English. Appendix>. (Together with V. S. Sergeev, S. Ya. Stepanov, A. S. Sumbatov)
- 2006
On the stabilization of movements of controlled mechanical systems // Stability and Oscillations of Nonlinear Control Systems: Abstracts of the IX International Seminar. E.S. Pyatnitsky.Moscow, IPU RAS, May 31 - June 2, 2006. M .: Publishing house of IPU RAS. S. 16-18. (Coll. With A. S. Andreev.)
- 2007
On the stabilization of motion of a non-stationary controlled system // Dokl. RAS. T.416. No. 5. S.627-629. (Coll. With A. S. Andreev.)
On the stabilization of the motion of a non-stationary controlled system // Automation and Remote Control. No. 8. P.18-31. (Coll. With A. S. Andreev.)
Notes
Links
- V.V. Rumyantsev (about him) on the page of Moscow State University
- Profile of Valentin Vitalievich Rumyantsev on the official website of the RAS