Khrustalev Mikhail Mikhailovich

Publications in Math-Net.Ru

1. Synthesis of Itô equations for a shaping filter with a given spectrum
   
   Avtomat. i Telemekh., 2024, no. 7,  61–72
2. Sequential improvement method in probabilistic criteria optimization problems for linear-in-state jump diffusion systems
   
   Avtomat. i Telemekh., 2023, no. 6,  100–121
3. Optimization of stochastic jump diffusion systems nonlinear in the control
   
   Avtomat. i Telemekh., 2022, no. 9,  128–149
4. Some algorithms for the improvement of time-varying controllers on an infinite time horizon
   
   Avtomat. i Telemekh., 2021, no. 12,  73–89
5. Sufficient conditions for terminal invariance of stochastic jump diffusion systems
   
   Avtomat. i Telemekh., 2020, no. 11,  155–173
6. Terminal invariance of quasi-linear stochastic diffusion systems that are nonlinear in control variable
   
   Avtomat. i Telemekh., 2020, no. 10,  118–136
7. Terminal invariance of jump diffusions
   
   Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  108–111
8. Necessary and sufficient conditions for optimal stabilization of quasi-linear stochastic systems
   
   Avtomat. i Telemekh., 2019, no. 7,  89–104
9. Sufficient relative minimum conditions in the optimal control problem for quasilinear stochastic systems
   
   Avtomat. i Telemekh., 2018, no. 12,  83–102
10. Terminal invariance of stochastic diffusion systems
    
    Avtomat. i Telemekh., 2018, no. 8,  81–100
11. Optimization of quasilinear stochastic control-nonlinear diffusion systems
    
    Avtomat. i Telemekh., 2017, no. 6,  84–105
12. Abnormality in the theory of necessary optimality conditions
    
    Bulletin of Irkutsk State University. Series Mathematics, 19 (2017),  44–61
13. Analytical design of controllers for quasi-linear systems on the infinite time interval
    
    Program Systems: Theory and Applications, 6:2 (2015),  29–44
14. Optimal controller synthesis for linear stochastic systems with incomplete information regarding the state. Necessary conditions and numerical methods
    
    Avtomat. i Telemekh., 2014, no. 11,  70–87
15. Optimal and stable controllable stochastic systems synthesis with incomplete state information on an unbounded time interval
    
    Avtomat. i Telemekh., 2011, no. 11,  174–190
16. Optimizing quasilinear stochastic dynamical systems with complex structure
    
    Avtomat. i Telemekh., 2011, no. 10,  154–169
17. Studying stability of the econometric model of nonantagonistic game of the wholesale market subjects
    
    Avtomat. i Telemekh., 2005, no. 10,  161–174
18. Optimization of stochastic systems of diffusion type with constraints on the control-observation process. II. Necessary conditions for optimality
    
    Avtomat. i Telemekh., 1991, no. 8,  94–101
19. Optimization of stochastic systems of diffusion type with constraints on the control-observation process. I. Sufficient conditions for optimality
    
    Avtomat. i Telemekh., 1991, no. 7,  89–96
20. Conditions for the optimality of stochastic systems of diffusion type in problems with constraints on the control-observation process
    
    Dokl. Akad. Nauk SSSR, 311:2 (1990),  291–295
21. Precise description of reachability sets and conditions for global optimality of dynamic systems. II. Global optimality conditions
    
    Avtomat. i Telemekh., 1988, no. 7,  70–80
22. Accurate description of reachable sets and conditions of global optimality for dynamic systems. I. Estimates and accurate description of reachable and controllable sets
    
    Avtomat. i Telemekh., 1988, no. 5,  62–70
23. Local design of optimal control for digital systems
    
    Avtomat. i Telemekh., 1980, no. 5,  48–56
24. Necessary and sufficient optimality conditions in the form of Bellman's equation
    
    Dokl. Akad. Nauk SSSR, 242:5 (1978),  1023–1026
25. Necessary and sufficient conditions for an optimal control problem
    
    Dokl. Akad. Nauk SSSR, 211:1 (1973),  59–62
26. Sufficient conditions for an absolute minimum
    
    Dokl. Akad. Nauk SSSR, 174:5 (1967),  1026–1029


27. On the 90th anniversary of V.F. Krotov birth
    
    Avtomat. i Telemekh., 2022, no. 5,  164–168
28. In memory of Professor Vladimir Iosifovich Gurman
    
    Program Systems: Theory and Applications, 7:3 (2016),  109–132
29. A Nonantagonistic Game in the Problem of Modeling of the Commercial Activity of Wholesale Enterprises
    
    Avtomat. i Telemekh., 2003, no. 7,  64–76