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Rodina, Lyudmila Ivanovna

Statistics Math-Net.Ru
Total publications: 42
Scientific articles: 37
Presentations: 2

Number of views:
This page:1901
Abstract pages:8174
Full texts:2656
References:1025
Rodina, Lyudmila Ivanovna
Associate professor
Doctor of physico-mathematical sciences (2012)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ;
Keywords: Control systems, dynamical systems, control theory, the theory of invariance or viability.
UDC: 517.977, 517.911, 517.93, 517.935, 517.938
MSC: 34A60, 37N35, 49J15, 93B03

Subject:

Mathematic control theory. Dynamical systems. The stability theory of control systems. The control systems with randon coefficients.

   
Main publications:
  1. L.I. Rodina, “Prostranstvo $slsv(R^n)$ s metrikoi Khausdorfa–Bebutova i statisticheski invariantnye mnozhestva upravlyaemykh sistem”, Trudy MIAN, 278 (2012), 217–226
  2. L.I. Rodina, “Invariantnye i statisticheski slabo invariantnye mnozhestva upravlyaemykh sistem”, Izv. IMI UdGU, 2012, № 2(40), 3–164
  3. L.I. Rodina, “Statisticheski invariantnye mnozhestva upravlyaemykh sistem so sluchainymi parametrami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki., 2011, № 2, 68–87
  4. L.I. Rodina, E.L. Tonkov, “Statisticheskie kharakteristiki mnozhestva dostizhimosti upravlyaemoi sistemy, nebluzhdaemost i minimalnyi tsentr prityazheniya”, Nelineinaya dinamika, 5:2 (2009), 265–288
  5. E.A. Panasenko, L.I. Rodina, E.L. Tonkov, “Prostranstvo $clcv(R^n)$ s metrikoi Khausdorfa–Bebutova i differentsialnye vklyucheniya”, Trudy IMM UrO RAN, 17:1 (2011), 162–177

http://www.mathnet.ru/eng/person44330
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/758399

Publications in Math-Net.Ru
2018
1. L. I. Rodina, I. I. Tyuteev, “On estimation of an average time profit in probabilistic environmental and economic models”, Model. Anal. Inform. Sist., 25:3 (2018),  257–267  mathnet  elib
2. L. I. Rodina, “On asymptotic properties of solutions of control systems with random parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  189–199  mathnet  elib
3. L. I. Rodina, “About one stochastic harvesting model of a renewed resourse”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018),  685–695  mathnet
4. L. I. Rodina, “Properties of average time profit in stochastic models of harvesting a renewable resource”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:2 (2018),  213–221  mathnet  elib
5. L. I. Rodina, “Optimization of average time profit for a probability model of the population subject to a craft”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:1 (2018),  48–58  mathnet  elib
2017
6. L. I. Rodina, “On the stability of a linear system of difference equations with random parameters”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  105–108  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 230:5 (2018), 757–761  scopus
7. Ya. Yu. Larina, L. I. Rodina, “Extension of the concept of invariance and statistically weakly invariant sets of controllable systems”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  57–60  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 230:5 (2018), 703–707  scopus
8. Ya. Yu. Larina, L. I. Rodina, “Statistical characteristics of continuous functions and statistically weakly invariant sets of controllable system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 2,  34–43  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 28–35  isi  scopus
9. L. I. Rodina, A. H. Hammady, “On the invariant sets and chaotic solutions of difference equations with random parameters”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:2 (2017),  238–247  mathnet  elib
2016
10. L. I. Rodina, A. H. Hammady, “Characteristics of invariancy for the attainability set of a control system”, Izv. IMI UdGU, 2016, 1(47),  44–53  mathnet  elib
11. L. I. Rodina, “On repelling cycles and chaotic solutions of difference equations with random parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  227–235  mathnet  mathscinet  elib
12. Ya. Yu. Larina, L. I. Rodina, “Asymptotically stable sets of control systems with impulse actions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016),  490–502  mathnet  mathscinet  elib
13. L. I. Rodina, I. I. Tyuteev, “About asymptotical properties of solutions of difference equations with random parameters”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:1 (2016),  79–86  mathnet  mathscinet  elib
2014
14. L. I. Rodina, A. Kh. Khammadi, “Statistical characteristics of attainability set of controllable systems with random coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, 11,  50–63  mathnet; Russian Math. (Iz. VUZ), 58:11 (2014), 43–53  scopus
15. L. I. Rodina, “On the invariant sets of control systems with random coefficients”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 4,  109–121  mathnet
2013
16. L. I. Rodina, “Estimation of statistical characteristics of attainability sets of controllable systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 11,  20–32  mathnet; Russian Math. (Iz. VUZ), 57:11 (2013), 17–27  scopus
17. Y. Y. Larina, L. I. Rodina, “Statistical Characteristics of Control Systems, Arising in Various Models of Natural Sciences”, Model. Anal. Inform. Sist., 20:5 (2013),  62–77  mathnet
18. L. I. Rodina, “On some probability models of dynamics of population growth”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, 4,  109–124  mathnet
19. L. I. Rodina, A. H. Hammady, “The characteristics of attainability set connected with invariancy of control systems on the finite time interval”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, 1,  35–48  mathnet
2012
20. L. I. Rodina, “Invariant and statistically weakly invariant sets of control systems”, Izv. IMI UdGU, 2012, 2(40),  3–164  mathnet
21. L. I. Rodina, “Statistical characteristics of attainable set of controllable systems”, Izv. IMI UdGU, 2012, 1(39),  111–113  mathnet
22. L. I. Rodina, “The space $\mathrm{clcv}(\mathbb R^n)$ with the Hausdorff–Bebutov metric and statistically invariant sets of control systems”, Tr. Mat. Inst. Steklova, 278 (2012),  217–226  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 208–217  isi  elib  scopus
23. L. I. Rodina, E. L. Tonkov, “About the attainability set of control system without assumption of compactness of geometrical restrictions on admissible controls”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, 4,  68–79  mathnet
24. L. I. Rodina, “Statistical characteristics of attainability set and periodic processes of control systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, 2,  34–43  mathnet
2011
25. E. A. Panasenko, L. I. Rodina, E. L. Tonkov, “The space $\mathrm{clcv}(\mathbb R^n)$ with the Hausdorff–Bebutov metric and differential inclusions”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  162–177  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S121–S136  isi  scopus
26. L. I. Rodina, “The statistically invariant sets of controllable systems with random parameters”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, 2,  68–87  mathnet
27. L. I. Rodina, E. L. Tonkov, “The statistically weak invariant sets of control systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, 1,  67–86  mathnet
2010
28. E. A. Panasenko, L. I. Rodina, E. L. Tonkov, “Asymptotically stable statistically weakly invariant sets for controlled systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  135–142  mathnet  elib
2009
29. L. I. Rodina, E. L. Tonkov, “Statistical characteristics of attainable set of controllable system, non-wandering, and minimal attraction center”, Nelin. Dinam., 5:2 (2009),  265–288  mathnet
2008
30. Yu. V. Masterkov, L. I. Rodina, “Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of states of a system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, 3,  38–49  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 52:3 (2008), 34–44
31. E. A. Panasenko, L. I. Rodina, E. L. Tonkov, “Absorption, nonwandering, and reccurence of the attainable set of a controllable system”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2,  97–104  mathnet
2006
32. L. I. Rodina, “Conditions for existence of nonanticipating control function for systems with random parameters”, Izv. IMI UdGU, 2006, 3(37),  131–132  mathnet
33. L. I. Rodina, “The construction of the non-predicting control for systems with random parameters”, Izv. IMI UdGU, 2006, 2(36),  95–98  mathnet
34. Ju. V. Masterkov, L. I. Rodina, “The conditions of local controllability for linear systems with stochastic parameters”, Vestn. Udmurtsk. Univ. Mat., 2006, 1,  81–94  mathnet
2005
35. Ju. V. Masterkov, L. I. Rodina, “The construction of non-anticipatory control for linear systems with stochastic parameters”, Vestn. Udmurtsk. Univ. Mat., 2005, 1,  101–114  mathnet
2004
36. Yu. V. Masterkov, L. I. Rodina, “Sufficient Conditions for the Stable Controllability of a Nonautonomous System in the Critical Case”, Differ. Uravn., 40:1 (2004),  33–40  mathnet  mathscinet; Differ. Equ., 40:1 (2004), 33–42
2003
37. Yu. V. Masterkov, L. I. Rodina, “Sufficient and Necessary Conditions for the Stable Controllability of a Nonlinear Nonstationary System on the Plane in the Critical Case”, Differ. Uravn., 39:2 (2003),  227–235  mathnet  mathscinet; Differ. Equ., 39:2 (2003), 246–255
2002
38. L. I. Rodina, E. L. Tonkov, “The criterion of complete controllability of linear time-varying system in the critical case”, Izv. IMI UdGU, 2002, 2(25),  81–86  mathnet

2015
39. A. A. Gryzlov, V. Ya. Derr, V. A. Zaitsev, A. I. Karpov, I. V. Men'shikov, N. N. Petrov, L. I. Rodina, “Svetlana Nikolaevna Popova. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015),  596–600  mathnet  elib
40. N. N. Petrov, S. P. Blinov, L. I. Rodina, V. Ya. Derr, “Lev Isaakovich Tuchinskii. To anniversary”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015),  593–595  mathnet  elib
2014
41. I. V. Gaishun, A. A. Gryzlov, V. Ya. Derr, N. A. Izobov, A. I. Karpov, E. K. Makarov, G. V. Merzlyakova, N. N. Petrov, S. N. Popova, L. I. Rodina, N. Kh. Rozov, I. N. Sergeev, A. A. Tolstonogov, V. N. Ushakov, A. G. Chentsov, “In memory of Evgenii Leonidovich Tonkov (27.06.1940–28.09.2014)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 4,  146–154  mathnet
42. A. A. Gryzlov, A. I. Karpov, N. V. Latypova, N. N. Petrov, L. I. Rodina, D. L. Fedorov, “Vasilii Yakovlevich Derr. A tribute in honor of his seventy-fifth birthday”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, 4,  142–145  mathnet
2013
43. A. V. Borisov, A. A. Gryzlov, V. Ya. Derr, A. I. Karpov, N. V. Latypova, L. I. Rodina, E. L. Tonkov, V. N. Ushakov, “Petrov Nikolai Nikandrovich (on his sixties birthday)”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, 4,  175–180  mathnet

Presentations in Math-Net.Ru
1. About extension of consept of invariancy for sets concerning control systems
Ya. Yu. Larina, L. I. Rodina
International Conference on Mathematical Control Theory and Mechanics
July 4, 2015 11:40
2. Conditions of invariancy and extinction for probability model of population dynamics
L. I. Rodina
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 15:00

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