01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
27.09.1954
E-mail:
Keywords:
differential equations with setvalued and discontinuous right-hand side; equations of nonlinear systems of automation with discontinuous controls; mechanical systems with Coulomb's friction; stability of motion.
Main publications:
Finogenko I. A. Teoremy svedeniya dlya differentsialnykh uravnenii, voznikayuschikh v dinamike sistem s treniem // Differents. uravneniya. 1998. T. 2, # 12. S. 1609–1615.
Finogenko I. A. Ob ustoichivosti mnozhestva polozhenii ravnovesiya avtonomnykh sistem // Doklady RAN. 1999. T. 365, # 4. S. 488–491.
Finogenko I. A. O pravostoronnikh resheniyakh odnogo klassa lagranzhevykh sistem s razryvnoi pravoi chastyu // Doklady RAN. 2001. T. 379, # 4. S. 486–489.
Finogenko I. A. O pravostoronnikh resheniyakh odnogo klassa razryvnykh sistem. I, II // Avtomatika i telemekhanika. 2001. # 9. S. 149–158; # 11. S. 95–108.
Matrosov V. M., Finogenko I. A. Analiticheskaya dinamika sistem tverdykh tel s sukhim treniem // Nelineinaya mekhanika. M.: Fizmatlit, 2001. S. 39–61.
M. P. D’yakovich, I. A. Finogenko, “Dynamic evaluation of criteria of the health-relatad quality of life on the base of the hierarchies analysis method”, Russian Universities Reports. Mathematics, 28:143 (2023), 245–255
2022
2.
I. A. Finogenko, “Method of limiting differential inclusions and asymptotic behavior of systems with relay controls”, Bulletin of Irkutsk State University. Series Mathematics, 42 (2022), 90–102
3.
I. A. Finogenko, “On the asymptotic behavior of mechanical systems with friction”, Sibirsk. Mat. Zh., 63:5 (2022), 1158–1169; Siberian Math. J., 63:5 (2022), 974–982
2021
4.
I. A. Finogenko, “Attraction for mechanical systems with friction”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 102–106; Dokl. Math., 104:2 (2021), 306–310
2020
5.
Ivan A. Finogenko, Alexander N. Sesekin, “Positional impulse and discontinuous controls for differential inclusion”, Ural Math. J., 6:2 (2020), 68–75
I. A. Finogenko, “Method of limiting differential inclusions for nonautonomous discontinuous systems with delay”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018), 236–246; Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S65–S74
2017
7.
I. A. Finogenko, M. P. D’yakovich, “Method of analysis of hierarchies and construction integrated parameters for multiple systems”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1335–1340
I. A. Finogenko, “Limiting differential inclusions and the method of Lyapunov’s functions”, Bulletin of Irkutsk State University. Series Mathematics, 13 (2015), 84–99
2014
10.
D. Ponomarev, I. Finogenko, “Approximation of Pulse Sliding Modes of Differential Inclusions”, Bulletin of Irkutsk State University. Series Mathematics, 7 (2014), 85–103
11.
I. A. Finogenko, “Limit differential inclusions and the invariance principle for nonautonomous systems”, Sibirsk. Mat. Zh., 55:2 (2014), 454–471; Siberian Math. J., 55:2 (2014), 372–386
I. A. Finogenko, “The invariance principle for nonautonomous functional differential inclusions”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014), 271–284
I. A. Finogenko, D. V. Ponomariov, “On differential inclusions with positional discontinuous and pulse controls”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013), 284–299
I. A. Finogenko, “On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals”, Sibirsk. Mat. Zh., 53:1 (2012), 213–221; Siberian Math. J., 53:1 (2012), 174–181
2010
15.
I. A. Finogenko, “On differential equations with discontinuous right hand part”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010), 88–102
I. A. Finogenko, “On differential inclusions with additive generalized functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 233–243; Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S85–S94
2006
17.
I. A. Finogenko, “Unique determination and continuous approximation of differential equations with discontinuous right-hand”, Izv. IMI UdGU, 2006, no. 3(37), 157–160
2005
18.
I. A. Finogenko, “On Continuous Approximations and Right-Sided Solutions of Differential Equations with Piecewise Continuous Right-Hand Sides”, Differ. Uravn., 41:5 (2005), 647–655; Differ. Equ., 41:5 (2005), 677–686
I. A. Finogenko, “On the Right Lipschitz Condition for Differential Equations with Piecewise Continuous Right-Hand Sides”, Differ. Uravn., 39:8 (2003), 1068–1075; Differ. Equ., 39:8 (2003), 1124–1131
I. A. Finogenko, “On Right-Sided Solutions of a Class of Discontinuous Systems. II”, Avtomat. i Telemekh., 2001, no. 11, 95–108; Autom. Remote Control, 62:11 (2001), 1844–1856
I. A. Finogenko, “On Right-Side Solution to Discontinuous Systems in a Class. I”, Avtomat. i Telemekh., 2001, no. 9, 149–158; Autom. Remote Control, 62:9 (2001), 1534–1542
I. A. Finogenko, “Reduction theorems for differential equations that arise in the dynamics of systems with friction”, Differ. Uravn., 34:12 (1998), 1609–1615; Differ. Equ., 34:12 (1998), 1613–1619
1996
23.
V. M. Matrosov, I. A. Finogenko, “The invariance principle and attracting sets for autonomous
systems”, Dokl. Akad. Nauk, 349:1 (1996), 46–48; Dokl. Math., 41:7 (1996), 313–315
24.
V. M. Matrosov, I. A. Finogenko, “On the theory of differential equations that arise in the dynamics of systems with friction. II”, Differ. Uravn., 32:6 (1996), 769–773; Differ. Equ., 32:6 (1996), 776–779
25.
V. M. Matrosov, I. A. Finogenko, “On the theory of differential equations that arise in the dynamics of systems with friction. I”, Differ. Uravn., 32:5 (1996), 606–614; Differ. Equ., 32:5 (1996), 610–618
V. M. Matrosov, I. A. Finogenko, “On the existence of right-sided solutions of the differential equations of the dynamics of mechanical systems with dry friction”, Differ. Uravn., 32:2 (1996), 185–192; Differ. Equ., 32:2 (1996), 186–194
V. M. Matrosov, I. A. Finogenko, “On properties of right-hand side solutions of the equations of the
dynamics of mechanical systems with sliding friction”, Dokl. Akad. Nauk, 343:1 (1995), 53–56; Dokl. Math., 40:7 (1995), 349–352
1994
28.
V. M. Matrosov, I. A. Finogenko, “Solutions of differential equations of the dynamics of mechanical
systems with sliding friction”, Dokl. Akad. Nauk, 336:1 (1994), 57–60; Dokl. Math., 39:5 (1994), 384–387
1990
29.
I. A. Finogenko, “Functional-differential inclusions on closed subsets”, Dokl. Akad. Nauk SSSR, 314:1 (1990), 147–150; Dokl. Math., 42:2 (1991), 395–398
1984
30.
A. A. Tolstonogov, I. A. Finogenko, “On solutions of a differential inclusion with lower semicontinuous nonconvex right-hand side in a Banach space”, Mat. Sb. (N.S.), 125(167):2(10) (1984), 199–230; Math. USSR-Sb., 53:1 (1986), 203–231
A. A. Tolstonogov, I. A. Finogenko, “On functional-differential inclusions in a Banach space with a nonconvex right-hand side”, Dokl. Akad. Nauk SSSR, 254:1 (1980), 45–49
2020
33.
A. V. Arutyunov, M. V. Borzova, E. O. Burlakov, A. A. Grigorenko, E. S. Zhukovskiy, S. E. Zhukovskiy, V. P. Maksimov, E. A. Panasenko, E. A. Pluzhnikova, A. V. Ponosov, V. M. Tikhomirov, O. V. Filippova, I. A. Finogenko, Yu. G. Fomicheva, A. G. Chentsov, A. I. Shindyapin, “In memory of professor Alexander Ivanovich Bulgakov”, Russian Universities Reports. Mathematics, 25:129 (2020), 100–102