Dmitruk Andrei Venediktovich

Publications in Math-Net.Ru

1. An optimal synthesis for a triple integrator with a state constraint
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  68–85
2. Variations of $v$-change of time in an optimal control problem with state and mixed constraints
   
   Izv. RAN. Ser. Mat., 87:4 (2023),  91–132
3. Minimization of Degenerate Integral Quadratic Functionals
   
   Trudy Mat. Inst. Steklova, 315 (2021),  108–127
4. Variations of the $v$-change of time in problems with state constraints
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  76–92
5. On the proof of Pontryagin's maximum principle by means of needle variations
   
   Fundam. Prikl. Mat., 19:5 (2014),  49–73
6. On the Uniform Convergence of Solutions of Volterra-Type Controlled Systems of Integral Equations Linear in the Control
   
   Mat. Zametki, 96:3 (2014),  333–342
7. Approximation Theorem for a Nonlinear Control System with Sliding Modes
   
   Trudy Mat. Inst. Steklova, 256 (2007),  102–114
8. Pontryagin maximum principle: half a century later
   
   Izv. IMI UdGU, 2006, no. 3(37),  31–32
9. Nonnegativity criterion for a degenerate quadratic form with two-dimensional control
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  49–75
10. Existence Theorem in the Optimal Control Problem on an Infinite Time Interval
    
    Mat. Zametki, 78:4 (2005),  503–518
11. Quadratic sufficient conditions for the minimality of abnormal sub-Riemannian geodesics
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 65 (1999),  5–89
12. To the Necessity of the Krotov Type Sufficient Conditions of Optimality
    
    Avtomat. i Telemekh., 1997, no. 10,  3–17
13. Fine theorems on the relaxing of constraints on equality in an optimal control problem that is linear with respect to the control
    
    Sibirsk. Mat. Zh., 31:2 (1990),  37–51
14. Quadratic conditions for a Pontryagin minimum in an optimal control problem linear in the control. II. Theorems on weakening equality constraints
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:4 (1987),  812–832
15. Quadratic conditions for a Pontryagin minimum in an optimum control problem linear in the control. I: A decoding theorem
    
    Izv. Akad. Nauk SSSR Ser. Mat., 50:2 (1986),  284–312
16. Solution by the maximum principle of a problem on the energy-optimal control of the movement of a train
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1644–1655
17. Jacobi-type conditions for the problem of Bolza with inequalities
    
    Mat. Zametki, 35:6 (1984),  813–827
18. Quadratic conditions for the Pontryagin minimum in an optimal control problem that is linear with respect to control, with a constraint on the control
    
    Dokl. Akad. Nauk SSSR, 272:2 (1983),  285–289
19. A condition of Jacobi type for a quadratic form to be nonnegative on a finite-faced cone
    
    Izv. Akad. Nauk SSSR Ser. Mat., 45:3 (1981),  608–619
20. Lyusternik's theorem and the theory of extrema
    
    Uspekhi Mat. Nauk, 35:6(216) (1980),  11–46
21. Quadratic conditions for a weak minimum for singular regimes in optimal control problems
    
    Dokl. Akad. Nauk SSSR, 233:4 (1977),  523–526
22. Application of sliding mode method to optimal control problems with mixed constraints
    
    Funktsional. Anal. i Prilozhen., 10:3 (1976),  39–44
23. The Euler–Jacobi equation in variational calculus
    
    Mat. Zametki, 20:6 (1976),  847–858


24. Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)
    
    Vladikavkaz. Mat. Zh., 26:2 (2024),  133–136
25. Letter to the Editor
    
    Mat. Zametki, 80:2 (2006),  320
26. Aleksei Alekseevich Milyutin (obituary)
    
    Uspekhi Mat. Nauk, 57:3(345) (2002),  137–140