Vakhrameev Sergei Aleksandrovich

Publications in Math-Net.Ru

1. A Note on the Structure of $M$-Matrices
   
   CMFD, 23 (2007),  87–95
2. An existence theorem for a nonlinear time-optimality problem
   
   Differ. Uravn., 35:4 (1999),  565–567
3. A note on convexity in smooth nonlinear systems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 60 (1998),  42–73
4. Bang-bang theorems and related questions
   
   Trudy Mat. Inst. Steklova, 220 (1998),  49–112
5. An existence theorem for a non-linear time-optimal problem in a class of bang-bang controls with finitely many switchings
   
   Uspekhi Mat. Nauk, 51:2(308) (1996),  151–152
6. Transversal convexity of reachable sets for a class of smooth control systems of constant rank
   
   Dokl. Akad. Nauk, 338:1 (1994),  7–9
7. Once more on the bang-bang control theorem for smooth control systems of constant rank
   
   Dokl. Akad. Nauk, 337:5 (1994),  567–569
8. A theorem on the finiteness of the switching number for smooth non-linear controlled systems
   
   Uspekhi Mat. Nauk, 49:6(300) (1994),  197–198
9. Morse theory for a class of optimal control problems
   
   Dokl. Akad. Nauk, 326:3 (1992),  404–408
10. On the Fredholm property of a manifold
    
    Uspekhi Mat. Nauk, 47:5(287) (1992),  169–170
11. The Lyusternik–Shnirel'man theory for transversally convex subsets of Hilbert manifolds and its application in optimal control theory
    
    Dokl. Akad. Nauk SSSR, 319:1 (1991),  18–21
12. The Morse index theorem for extremals of some optimal control problems
    
    Dokl. Akad. Nauk SSSR, 317:1 (1991),  11–15
13. Morse theory and Lyusternik–Shnirel'man theory in geometric control theory
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 39 (1991),  41–117
14. Hilbert manifolds with angles of finite codimension, and optimal control theory
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 28 (1990),  96–171
15. The Palais–Smale theory for manifolds with corners. I. Finite-dimensional case
    
    Uspekhi Mat. Nauk, 45:4(274) (1990),  141–142
16. Smooth controllable systems of constant rank and linearizable systems
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35 (1989),  135–178
17. Ordinary differential equations on vector bundles, and chronological calculus
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 35 (1989),  3–107
18. Linearly controlled systems of constant rank and relay conditions for extreme control
    
    Uspekhi Mat. Nauk, 41:6(252) (1986),  163–164
19. Geometric theory of control
    
    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 23 (1985),  197–280
20. Nonlinear control systems of constant rank and bang-bang conditions for extremal controls
    
    Dokl. Akad. Nauk SSSR, 279:2 (1984),  265–269
21. Differential geometric and group theoretic methods in optimal control theory
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 14 (1983),  3–56
22. Chronological series and the Cauchy–Kovalevskaya theorem
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 12 (1981),  165–189