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Krishchenko, Alexander Petrovich

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Total publications: 26
Scientific articles: 25
Presentations: 2

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Krishchenko, Alexander Petrovich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1987)
Birth date: 3.10.1948
Phone: +7 (499) 263 78 94
Fax: +7 (499) 263 78 94
E-mail:
Website: http://mathmod.bmstu.ru/index.php?p=5
Keywords: controllability, attainability, stabilization, invariant compact sets, haotic dynamics.

Subject:

Differential-geometric methods in control theory and differential equations.

Biography

1997–date — Head of Chair of Mathematical Modeling (Bauman Moscow State Technical University)
1988–1997 — Professor (Bauman Moscow State Technical University)
1979–1988 — Docent (Bauman Moscow State Technical University)
1975–1979 — Assistant (Bauman Moscow State Technical University)
1972–1975 — Postgraduate (Moscow State University)

   
Main publications:
  • Krishchenko A. P. On Structure of Singularities of Solution of Quasi-linear Equations // Uspekhi Matematicheskih nauk, 1976, N 3, p. 219–220 (in Russian).
  • Zevnin A. A., Krishchenko A. P. Controllability of Nonlinear Systems and synthesis of control algorithms // Dokl. Akad. Nauk SSSR, 1981, V. 258, N 4. P. 805–809 (in Russian).
  • Krishchenko A. P. Optimal Control of Nonlinear Systems // Avtomat. Telemekh., 1982, N 11. P. 48–56 (in Russian).
  • Krishchenko A. P. An Investigation of Controllability and Reachability sets of Nonlinear Control Systems // Avtomat. Telemekh., 1984, N 6. P. 30–36 (in Russian).
  • Krishchenko A. P. Stabilization of programmed motion of nonlinear systems // Izv. Akad. Nauk SSSR, Tekhn. kibernetika, 1985, N 6. P. 108–112 (in Russian).
  • Kanatnikov A. N., Krishchenko A. P. Symmetries and decomposition of nonlinear systems // Differentsial'nye Uravneniya, 30, N 11, 1994, 1880–1891 (in Russian).
  • Krishchenko A. P. Stabilization of equilibrium points of chaotic systems // Phys. Lett. A, 1995, v. 203, P. 350–356.
  • Krishchenko A. P. Localization of limit cycles // Differentsial'nye Uravneniya, v. 31, N 11, 1995, p. 1858–1865 (in Russian).
  • Krishchenko A. P. Domains of Existences of Cycles // Dokl. Akad. Nauk, 1997, V. 353, N 1, P. 17–19 (in Russian).
  • Krishchenko A. P. Estimations of domains with cycles // Computers & Mathematics with Applications, 1997, Vol. 34, No. 2-4, pp. 325–332.
  • Ermoshina O. V., Krishchenko A. P. Synthesis of Programmed Control of Spacecraft Orientation by the Method of Inverse Problem of Dynamics // Izv. Akad. Nauk, Teoriya i Sistemy Upravleniya, 2000, N 2, P. 155–162 (in Russian).
  • Golubev A. E., Krishchenko A. P., Tkachev S. B. Separation principle for a class of nonlinear systems // Differentsial'nye Uravneniya, 2001, V. 37, N 11, p. 1468–1475 (in Russian).
  • Krishchenko A. P., Panfilov D. U., Tkachev S. B. Global stabilization of affine systems using virtual outputs // Differentsial'nye Uravneniya, 2003. V. 39. N 11. p. 1503–1510 (in Russian).
  • Krishchenko A. P., Kavinov A. V. Suppression of chaotic dynamics // Differentsial'nye Uravneniya, 2004, V. 40, N 12, p. 1629–1635 (in Russian).
  • Starkov K. E., Krishchenko A. P. Location of Periodic Orbits of Polynomial Systems by Ellipsoidal Estimates // Chaos, Solitons & Fractals, 2005, v. 23, P. 981–988.
  • Krasnoshchechenko V. I., Krishchenko A. P. Nonlinear systems: geometrical methods of analysis and synthesis Moscow: Izd-vo BMSTU, 2005, 520 p. (in Russian).
  • Golubev A. E., Krishchenko A. P., Tkachev S. B. Stabilization of nonlinear dynmic systems using the system state estimates made by the asymptotic observe // Avtomat. Telemekh., 2005. N 7. p. 3–18 (in Russian).
  • Krishchenko A. P. Localization of invariant compact sets dynamical systems // Differentsial'nye Uravneniya, 2005, V. 41, N 12, p. 1597–1604 (in Russian).
  • Krishchenko A. P., Starkov K. E. Localization of compact invariant sets of the Lorenz system // Phys. Lett. A, 2006, V. 353, N 6, P. 383–388.
  • Krishchenko A. P., Starkov K. E. Localization of compact invariant sets of nonlinear systems with application to the Lanford systems // Int. J. of Bifurcation and Chaos, 2006, N 11, p. 3249–3256.
  • Krishchenko A. P., Starkov K. E. Estimation of the domain containing all compact invariant sets of a system modelling the amplitude of a plasma instability // Phys. Lett. A, 2007, V. 367, N 1, P. 65–72.

http://www.mathnet.ru/eng/person23029
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:krishchenko.alexander-p
https://mathscinet.ams.org/mathscinet/MRAuthorID/212694

Publications in Math-Net.Ru
2017
1. A. P. Krishchenko, “Investigation of asymptotic stability of equilibria by localization of the invariant compact sets”, Avtomat. i Telemekh., 2017, 6,  36–56  mathnet  mathscinet  elib; Autom. Remote Control, 78:6 (2017), 989–1005  isi  scopus
2005
2. A. E. Golubev, A. P. Krishchenko, S. B. Tkachev, “Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer”, Avtomat. i Telemekh., 2005, 7,  3–42  mathnet  mathscinet  zmath; Autom. Remote Control, 66:7 (2005), 1021–1058  scopus
3. A. P. Krishchenko, “Localization of Invariant Compact Sets of Dynamical Systems”, Differ. Uravn., 41:12 (2005),  1597–1604  mathnet  mathscinet; Differ. Equ., 41:12 (2005), 1669–1676
2004
4. A. P. Krishchenko, A. V. Kavinov, “Suppression of chaotic dynamics”, Differ. Uravn., 40:12 (2004),  1629–1635  mathnet  mathscinet; Differ. Equ., 40:12 (2004), 1709–1715
2003
5. A. P. Krishchenko, D. Yu. Panfilov, S. B. Tkachev, “Global Stabilization of Affine Systems via Virtual Outputs”, Differ. Uravn., 39:11 (2003),  1503–1510  mathnet  mathscinet; Differ. Equ., 39:11 (2003), 1585–1592
2002
6. A. P. Krishchenko, D. Yu. Panfilov, S. B. Tkachev, “The Construction of Minimal Phase Affine Systems”, Differ. Uravn., 38:11 (2002),  1483–1489  mathnet  mathscinet; Differ. Equ., 38:11 (2002), 1574–1580
2001
7. A. E. Golubev, A. P. Krishchenko, S. B. Tkachev, “A Separation Principle for Affine Systems”, Differ. Uravn., 37:11 (2001),  1468–1475  mathnet  mathscinet; Differ. Equ., 37:11 (2001), 1541–1548
2000
8. A. P. Krishchenko, A. V. Kavinov, “Stabilization of affine systems”, Differ. Uravn., 36:11 (2000),  1482–1487  mathnet  mathscinet; Differ. Equ., 36:11 (2000), 1628–1633
1999
9. A. P. Krishchenko, S. B. Tkachev, “Duality of nonlinear dynamical systems, and the synthesis of observers”, Differ. Uravn., 35:5 (1999),  649–663  mathnet  mathscinet; Differ. Equ., 35:5 (1999), 653–668
1998
10. A. P. Krishchenko, S. S. Shalneva, “The localization problem for autonomous systems”, Differ. Uravn., 34:11 (1998),  1495–1500  mathnet  mathscinet; Differ. Equ., 34:11 (1998), 1495–1500
1997
11. I. K. Volkov, A. P. Krishchenko, A. N. Chebotarev, “Operating Modes for Populations under Possible Preservation of Their Total Size”, Avtomat. i Telemekh., 1997, 8,  156–167  mathnet  mathscinet  zmath; Autom. Remote Control, 58:8 (1997), 1364–1373
12. V. V. Volynskii, A. P. Krishchenko, “Estimates for the stabilizability domains of nonlinear systems”, Differ. Uravn., 33:11 (1997),  1474–1483  mathnet  mathscinet; Differ. Equ., 33:11 (1997), 1480–1489
13. A. P. Krishchenko, “On the structure of attainability sets of affine systems”, Differ. Uravn., 33:6 (1997),  768–775  mathnet  mathscinet; Differ. Equ., 33:6 (1997), 771–778
1996
14. I. K. Volkov, A. P. Krishchenko, “Qualitative analysis of a population development model”, Differ. Uravn., 32:11 (1996),  1457–1465  mathnet  mathscinet; Differ. Equ., 32:11 (1996), 1452–1461
1995
15. A. P. Krishchenko, S. B. Tkachev, “Nonlinear $k(\vec x)$-dual systems”, Avtomat. i Telemekh., 1995, 2,  21–35  mathnet  mathscinet  zmath; Autom. Remote Control, 56:2 (1995), 167–178
16. A. P. Krishchenko, “Localization of limit cycles”, Differ. Uravn., 31:11 (1995),  1858–1865  mathnet  mathscinet; Differ. Equ., 31:11 (1995), 1826–1833
1994
17. A. N. Kanatnikov, A. P. Krishchenko, “Symmetries and the decomposition of nonlinear systems”, Differ. Uravn., 30:11 (1994),  1880–1891  mathnet  mathscinet; Differ. Equ., 30:11 (1994), 1735–1745
1993
18. A. P. Krishchenko, “Approximation of the output of a multidimensional affine system in the singular case”, Differ. Uravn., 29:11 (1993),  1921–1927  mathnet  mathscinet; Differ. Equ., 29:11 (1993), 1667–1672
1992
19. A. P. Krishchenko, M. G. Klinkovsky, “Transformation of affine systems with control and the stabilization problem”, Differ. Uravn., 28:11 (1992),  1945–1952  mathnet  mathscinet; Differ. Equ., 28:11 (1992), 1595–1601
1984
20. A. P. Krishchenko, “Controllability and attainability sets of nonlinear control systems”, Avtomat. i Telemekh., 1984, 6,  30–36  mathnet  mathscinet  zmath; Autom. Remote Control, 45:6 (1984), 707–713
1982
21. A. P. Krishchenko, “Optimal control of monlinear systems”, Avtomat. i Telemekh., 1982, 11,  48–56  mathnet  mathscinet  zmath; Autom. Remote Control, 43:11 (1982), 1401–1408
22. A. A. Zhevnin, A. P. Krishchenko, Yu. V. Glushko, “Controllability and observability of nonlinear systems and terminal- control synthesis”, Dokl. Akad. Nauk SSSR, 266:4 (1982),  807–811  mathnet  mathscinet  zmath
1981
23. A. A. Zhevnin, A. P. Krishchenko, “Controllability of nonlinear systems and synthesis of control algorithms”, Dokl. Akad. Nauk SSSR, 258:4 (1981),  805–809  mathnet  mathscinet  zmath
1980
24. A. F. Gribov, A. P. Krishchenko, B. I. Shakhtarin, “Dynamics of a third-order piecewise-linear system”, Avtomat. i Telemekh., 1980, 2,  21–30  mathnet  mathscinet
1976
25. A. P. Krishchenko, “The structure of the singularities of the solutions of quasilinear equations”, Uspekhi Mat. Nauk, 31:3(189) (1976),  219–220  mathnet  mathscinet  zmath

2017
26. V. S. Zarubin, A. P. Krishchenko, G. N. Kuvyrkin, “К 150-летию математической подготовки в МГТУ им. Н.Э. Баумана”, Matem. Mod., 29:10 (2017),  3–4  mathnet  elib

Presentations in Math-Net.Ru
1. Terminal control synthesis for system of the 2nd order
A. P. Krishchenko, T. S. Kasatkina
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 15:50
2. Localization problem of invariant compact sets for continuous systems with uncertainties
A. N. Kanatnikov, A. P. Krishchenko
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 12:20

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