Sobolev Vladimir Andreevich

Publications in Math-Net.Ru

1. Decomposition of singularly perturbed optimal tracking problems with a given reference trajectory
   
   Sib. Zh. Ind. Mat., 26:3 (2023),  112–124
2. Reduction of the optimal tracking problem in the presence of noise
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 28:3-4 (2022),  32–39
3. Decomposition of traveling waves problems
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:3 (2021),  22–30
4. Critical travelling waves in one model of the "reaction-diffusion" type
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:2 (2021),  16–24
5. Parametrization of invariant manifolds of slow motions
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:4 (2018),  33–40
6. Asymptotic expansions of solutions in a singularly perturbed model of virus evolution
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  242–252
7. Order reduction of control and estimation problems for flexible joint manipulator
   
   Mat. Model., 26:7 (2014),  72–86
8. Reduction of dimension of optimal estimation problems for dynamical systems with singular perturbations
   
   Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014),  50–64
9. Reduction of Dimensionality of Optimal Estimation and Control Problems for Systems of Low Dissipativity Solid Bodies
   
   Avtomat. i Telemekh., 2013, no. 8,  121–137
10. Asymptotic expansions of slow invariant manifolds and reduction of chemical kinetics models
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012),  81–96
11. Integral manifolds and the reduction principle
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 5(86),  81–92
12. Decomposition of a linear-quadratic optimal control problem with fast and slow variables
    
    Avtomat. i Telemekh., 2006, no. 8,  3–11
13. Regularization of cheap periodic control problems
    
    Avtomat. i Telemekh., 2005, no. 6,  59–73
14. A Periodic Singularly Perturbed Problem for the Matrix Riccati Equation
    
    Differ. Uravn., 41:4 (2005),  500–507
15. Numerical determination of bounded solutions to discrete singularly perturbed equations and critical combustion regimes
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  56–87
16. Geometry of singular perturbations in degenerated cases
    
    Mat. Model., 13:12 (2001),  75–94
17. Optimal Periodic Control Systems Subject to Singular Perturbations
    
    Avtomat. i Telemekh., 1997, no. 7,  151–168
18. Duck trajectories in a problem of combustion theory
    
    Differ. Uravn., 32:9 (1996),  1175–1184
19. A constructive method for splitting nonlinear singularly perturbed differential systems
    
    Differ. Uravn., 31:4 (1995),  569–578
20. Asymptotic decomposition of slow integral manifolds
    
    Sibirsk. Mat. Zh., 35:6 (1994),  1264–1278
21. Self-ignition of dusty media
    
    Fizika Goreniya i Vzryva, 29:3 (1993),  133–136
22. Singular perturbations in a linear-quadratic problem of optimal control
    
    Avtomat. i Telemekh., 1991, no. 2,  53–64
23. A singularly perturbed differential equation with a Fredholm operator multiplying the derivative
    
    Differ. Uravn., 25:2 (1989),  247–258
24. Asymptotic analysis of digital control systems
    
    Avtomat. i Telemekh., 1988, no. 9,  83–88
25. Decomposition of systems operating at different rates with discontinuous controls
    
    Avtomat. i Telemekh., 1988, no. 3,  29–34
26. Integral manifolds of singularly perturbed systems and some of their applications
    
    Differ. Uravn., 21:10 (1985),  1723–1726