Dykhta Vladimir Aleksandrovich

Publications in Math-Net.Ru

1. Feedback minimum principle for optimal control problems with terminal conditions and its extensions
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 241 (2025),  18–29
2. Support majorants and feedback minimum principles for discrete optimal control problems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024),  43–49
3. Methods for improving the efficiency of the positional minimum principle in optimal control problems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023),  54–64
4. Feedback minimum principle: variational strengthening of the concept of extremality in optimal control
   
   Bulletin of Irkutsk State University. Series Mathematics, 41 (2022),  19–39
5. On the set of necessary optimality conditions with positional controls generated by weakly decreasing solutions of the Hamilton-Jacobi inequality
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  83–93
6. Feedback minimum principle for impulsive processes
   
   Bulletin of Irkutsk State University. Series Mathematics, 25 (2018),  46–62
7. Feedback minimum principle for quasi-optimal processes of terminally-constrained control problems
   
   Bulletin of Irkutsk State University. Series Mathematics, 19 (2017),  113–128
8. Positional strengthenings of the maximum principle and sufficient optimality conditions
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  73–86
9. Nonstandard duality and nonlocal necessary optimality conditions in nonconvex optimal control problems
   
   Avtomat. i Telemekh., 2014, no. 11,  19–37
10. Weakly monotone solutions of the Hamilton–Jacobi inequality and optimality conditions with positional controls
    
    Avtomat. i Telemekh., 2014, no. 5,  31–49
11. Variational Optimality Conditions with Feedback Descent Controls that Strengthen the Maximum Principle
    
    Bulletin of Irkutsk State University. Series Mathematics, 8 (2014),  86–103
12. Hamilton–Jacobi inequalities and the optimality conditions in the problems of control with common end constraints
    
    Avtomat. i Telemekh., 2011, no. 9,  13–27
13. Positional solutions of Hamilton–Jacobi equations in control problems for discrete-continuous systems
    
    Avtomat. i Telemekh., 2011, no. 6,  48–63
14. The canonical theory of the impulse process optimality
    
    CMFD, 42 (2011),  118–124
15. Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls
    
    Sib. Zh. Ind. Mat., 14:3 (2011),  3–13
16. Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control
    
    Sib. Zh. Ind. Mat., 14:2 (2011),  3–14
17. Analysis of sufficient optimality conditions with a set of Lyapunov type functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  66–75
18. Hamilton–Jacobi inequalities in control problems for impulsive dynamical systems
    
    Trudy Mat. Inst. Steklova, 271 (2010),  93–110
19. Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 1,  3–43
20. A maximum principle for smooth optimal impulsive control problems with multipoint state constraints
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  981–997
21. Lyapunov–Krotov inequality and sufficient conditions in optimal control
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  76–108
22. A Variational Maximum Principle for Classical Optimal Control Problems
    
    Avtomat. i Telemekh., 2002, no. 4,  47–54
23. Linear Lyapunov–Krotov functions and sufficient conditions for optimality in the form of the maximum principle
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 12,  11–22
24. Numerical methods for solving problems of optimal impulse control that are based on the variational maximum principle
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 12,  32–40
25. The maximum principle in nonsmooth optimal impulse control problems with multipoint phase constraints
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2,  19–32
26. Impulsive optimal control in models of economics and quantum electronics
    
    Avtomat. i Telemekh., 1999, no. 11,  100–112
27. The maximum principle in nonsmooth optimal control problems with discontinuous trajectories
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 12,  26–37
28. Necessary conditions for the optimality of impulse processes with constraints on the image of the control measure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 12,  9–16
29. The variational maximum principle and second-order optimality conditions for impulse processes and singular processes
    
    Sibirsk. Mat. Zh., 35:1 (1994),  70–82
30. A variational maximum principle for pulse and singular regimes in an optimization problem that is linear with respect to control
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 11,  89–91
31. Minimum conditions on the set of sequences in a degenerate variational problem
    
    Mat. Zametki, 34:5 (1983),  735–744
32. Conditions of loca*l minimum for singular modes in systems with linear control
    
    Avtomat. i Telemekh., 1981, no. 12,  5–10
33. Singular modes of a nonlinear system in the case of multiple maxima
    
    Avtomat. i Telemekh., 1979, no. 2,  16–19
34. Singular problems of optimal control and the method of multiple maxima
    
    Avtomat. i Telemekh., 1977, no. 3,  51–59
35. Sufficient conditions for a strong minimum for degenerate optimal control problems
    
    Differ. Uravn., 12:12 (1976),  2129–2138


36. On the 85th birthday anniversary of the RAS Corresponding Member, professor A. A. Tolstonogov
    
    Bulletin of Irkutsk State University. Series Mathematics, 51 (2025),  167–178
37. Scientific achievements of professor V. I. Gurman
    
    Bulletin of Irkutsk State University. Series Mathematics, 19 (2017),  6–21
38. In Memory of Professor Vladimir Iosifovich Gurman (1934–2016)
    
    Bulletin of Irkutsk State University. Series Mathematics, 19 (2017),  1–5