Михаил Иванов Кръстанов

Михаил Иванов Кръстанов

Професор
Изследовател (R4)
Доктор на науките

Изследователи към ФМИ

Имейл: 
krastanov@fmi.uni-sofia.bg
Телефон: 
+359 2 8161 543
Кабинет: 
ФМИ-510
Приемно време: 

вторник, 16:00 – 17:00 ч.
четвъртък, 15:00 – 16:00 ч.

Образование и научни степени

  • средно образование: НМГ „Акад. Л. Чакалов”, 1976 г.
  • магистър по математика, специалност “Изследване на операциите”, ФМИ, СУ "Св. Климент Охридски", 1983 г.
  • кандидат на математическите науки, дисертация на тема „Локална управляемост на нелинейни системи”, 1989 г.
  • доктор на математическите науки, дисертация на тема „Локален анализ на управляеми системи”, 2008 г.

Научни интереси

  • Локален анализ на управляеми системи
  • Вариационни методи в теорията на управлението

Преподавателска дейност

  • лекции по „Управление на портфейл от инвестиционни активи” в Стопански факултет на Софийския университет "Св. Климент Охридски"
  • лекции по „Количествени методи за икономически анализ” в Стопански факултет на Софийския университет "Св. Климент Охридски"
  • лекции по „Теория на игрите” за специалност “Приложна математика” във Факултета по математика и информатика на Софийския университет "Св. Климент Охридски"
  • лекции по „Математическо оптимиране” за специалност “Математика” във Факултета по математика и информатика на Софийския университет "Св. Климент Охридски"
  • лекции по „Оптимално управление” във Факултета по математика и информатика на Софийския университет "Св. Климент Охридски"
  • лекции по „Теория на нелинейните системи” във Факултета по математика и информатика на Софийския университет "Св. Климент Охридски"
  • лекции по „Методи за оптимизация” във Факултета по математика и информатика на Софийския университет "Св. Климент Охридски"

Списък с публикации

  1. Milen K. Borisov, Neli S. Dimitrova, M.I.Krastanov, Functional differential model of an anaerobic biodegradation process, Large-Scale Scientific Computing, Springer Lecture Notes in Computer Science 9374, 101-109, 2015.
  2. M.I.Krastanov, N.K.Ribarska, Ts.Y.Tsachev, On the Geometry of the Pontryagin Maximum Principle in Banach Spaces, Set-Valued and Variational Analysis 23, No 3, 443-463, doi 10.1007/s11228-015-0316-9, 2015.
  3. A. L. Dontchev, M.I.Krastanov, V. M. Veliov, ω-Limit Sets for Differential Inclusions, Analysis and Geometry in Control Theory and its Applications, Bettiol, P., Cannarsa, P., Colombo, G., Motta, M., Rampazzo, F. eds., Springer, 159-169, 2015, 10.1007/978-3-319-06917-3_6.
  4. N. S. Dimitrova, M.I.Krastanov, Model-based optimization of biogas production in an ana-erobic biodegradation process, Computers and mathematics with applications, 68, 986-993, 2014.
  5. N. S. Dimitrova, M.I.Krastanov, New result on the model-based biological control of the chemostat, Applied Mathematics and Computation, 237, 686-694, 2014.
  6. M.I.Krastanov, M. Quincampoix, On the Controllability of a Class of Hybrid Control Systems, Springer Lecture Notes in Computer Sciences, 8353, 107-115, 2014.
  7. A. L. Dontchev, M.I.Krastanov, R. T. Rockafellar, V. M. Veliov, An Euler-Newton Continuation Method for Tracking Solution Trajectories of Parametric Variational Inequalities, SIAM J. on Control & Optimization, 51, 3, 1823-1840, 2013.
  8. M. I. Krastanov, M. Quincampoix, On the Small-Time Controllability of Discontinuous Piece-Wise Linear Systems, Systems & Control Letters, 62, 2, 218-223, 2013.
  9. N. S. Dimitrova, M. I. Krastanov, Output Feedback Stabilization of an Anaerobic Digestion Model, Comptes Rendus de L'Academie Bulgare des Sciences, 66, 4, 493-502, 2013.
  10. M. I. Krastanov, On the Small-time Local Controllability, Journal of Convex Analysis, 19, 4, 1073-1090, 2012.
  11. N. Dimitrova, M. I. Krastanov, Nonlinear adaptive stabilizing control of an anaerobic digestion model with unknown kinetics, International Journal of Robust and Nonlinear Control, 22, 15, 1743–1752, 2012.
  12. N. S. Dimitrova, M. I. Krastanov, Generalization of the Concept for Biological Control in the Chemostat, WSEAS Transactions on biology and biomedicine, 4, 9, 93-102, 2012.
  13. M. I. Krastanov , N. K. Ribarska, Ts. Y. Tsachev, A Pontryagin maximum principle for infinite-dimensional problems, SIAM J. on Control & Optimization, 49, 5, 2155-2182, 2011.
  14. M. I. Krastanov, High-order variations and small-time local controllability, Serdica Journal of Computing, 4, No. 1, 85–92, 2010. 
  15. M. I. Krastanov, V. M. Veliov, High-order approximations to nonholonomic affine control systems, Lecture Notes in Computer Science, LNCS 5910, Springer, 304-314, 2010. 
  16. N. S. Dimitrova, M. I. Krastanov, Nonlinear adaptive control of a model of an uncertain fermentation process, Int. J. of Robust & Nonlinear Control 20, 1001-1009, 2010. 
  17. M. I. Krastanov, High-order variations and small-time local attainability, Control and Cybernetics, 38, No 4, part B, 1411-1428, 2009. 
  18. M. I. Krastanov, A Sufficient Condition for Small-Time Local Controllability, SIAM J. on Control & Optimization, 48, 4, 2296-2322, 2009. 
  19. N. S. Dimitrova, M. I. Krastanov, Nonlinear stabilizing control of an uncertain bioprocess model, Int. J. on Applied Mathematics and Computer Science, 19, 3, 441-454, 2009.
  20. M. I. Krastanov, R. Rozenov Feedback Nash equilibria in optimal taxation problems, Central European Journal of Mathematics 7, No. 4, 757-774, Springer, 2009.
  21. M. I. Krastanov On the Constrained Small -Time Controllability of Linear Systems, Automatica. 44, Issue 9, 2370-2374, 2008.
  22. M. I. Krastanov, R. Rozenov On Optimal Redistributive Capital Income Taxation, in: Large-Scale Scientific Computing, Lirkov, Ivan; Margenov, Svetozar; Wasniewski, Jerzy (Eds.), Lecture Notes in Computer Science 4818, 342-349, Springer, 2008.
  23. M. I. Krastanov, N. K. Ribarska, Ts. Y. Tsachev On the Existence of Solutions to Differential Inclusions with Nonconvex Right-Hand Sides, SIAM Journal on Optimization 18, No. 3, 733-751, 2007.
  24. M. I. Krastanov, Lie Brackets and Stabilizing Feedback Controls, Lecture Notes in Computer Science 4310, 329-336, Springer, 2007.
  25. R. Rozenov, M. I. Krastanov, Differential Games and Optimal Tax Policy, Lecture Notes in Computer Science 4310, 353-360, Springer, 2007.
  26. N. S. Dimitrova, M. I. Krastanov, Stabilization of a Nonlinear Anaerobic Wastewater Treatment Model , in Large-Scale Scientific Computing: 5th International Conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005. Revised Papers, Lecture Notes in Computer Science 3743, 208-215, Springer, 2006.
  27. M. I. Krastanov, On the synthesis of a stabilizing feedback control , in Large-Scale Scientific Computing: 5th International Conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005. Revised Papers, Lecture Notes in Computer Science 3743, 239-246, Springer, 2006.
  28. M. I. Krastanov, M. Malisoff, P. Wolenski, On the Strong Invariance Property for Non-Lipschitz Dynamics, Communications in Pure and Applied Analysis 5, No. 1, 107-124, 2006.
  29. M. I. Krastanov, V. M. Veliov, On the controllability of switching linear systems, Automatica 41, No. 4, 663-668, 2005 .
  30. N. Kirov, M. I. Krastanov, Volterra Series and Numerical Approximations of ODEs , in Numerical Analysis and Its Applications: Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004, Revised Selected Papers, Zhilin Li, Lubin Vulkov, Jerzy Wasniewski eds., Lecture Notes in Computer Science 3401, 337—344, Springer, 2005.
  31. M. I. Krastanov, M. Malisoff, P. Wolenski On the Strong Invariance Property for Non-Lipschitz Dynamics, Arxiv preprint math.OC/0403180, 2004. 
  32. N. S. Dimitrova, M. I. Krastanov, A Stabilizing Feedback of an Uncertain Control System, in Large-Scale Scientific Computing, I. Dimov, I. Lirkov, S. Margenov, J. Wasniewki, P. Jalamov eds., Lecture Notes in Computer Science 2907, 222-230, Springer, 2004.
  33. N. I. Kirov, M. I. Krastanov, Higher order approximations of affine nonlinear systems, Large-Scale Scientific Computing, I. Dimov, I. Lirkov, S. Margenov, J. Wasniewki, P. Jalamov eds., Springer Lecture Notes in Computer Science 2907, 230-238, Springer, 2004.
  34. M. I. Krastanov, V. M. Veliov, On the stabilizability of control constrained linear systems, in Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev eds., Lecture Notes in Computer Science 2542 , 238-245, Springer.2003.
  35. M. I. Krastanov, N. S. Dimitrova, A Stabilizing Feedback of an Uncertain Control System, in Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev eds., Lecture Notes in Computer Science 2542, 230-237, Springer, 2003.
  36. M. I. Krastanov, N. S. Dimitrova, Stabilizing feedback of a nonlinear process involving uncertain data, Bioprocess and Biosystems Engineering 25, No. 4, 217-220, 2003.
  37. N. S. Dimitrova, M. I. Krastanov, Stabilizing Feedback Design of a Class of Fermentation Processes Involving Uncertainties , in the Proceedings of the International Conference "Automatics and Informatics'02", Novenber 5-6, 2002, Sofia, 253-256, 2002. 
  38. M. I. Krastanov, A sufficient condition for small-time local attainability of a set, Control and Cybernetics, vol. 31, No.3, 739-750, 2002.
  39. M. Krastanov, On the stabilizing feedback controls, Mathematics and education in mathematics, E. Kelevedzhiev, P. Boivalenkov eds., 356-361, 2002. 
  40. M. I. Krastanov, M. Quincampoix, Local small-time controllability and attainability of a set for nonlinear control systems, ESAIM: Control. Optim. Calc. Var. 6, 499—516, 2001.
  41. M. Krastanov, N. Dimitrova, Stabilizing control design of a nonlinear process involving uncerainties, Scientific Computing, Validated Numerics, Interval Methods, W. Kraemer, J. Wolff von Gudenberg eds., Kluwer Academic Plenum Publishers, N.York - Boston – Dordrecht – London – Moskow, 255-266, 2001.
  42. M. Krastanov, M. Quincampoix, Local small-time controllability and attainability of a set for nonlinear control systems, Preprints of the Department of Mathematics, University of Bretagne Occidentale, No. 7, 2000. 
  43. N. Ribarska, Ts. Tsachev, M. Krastanov, A note on "On a critical point theory for multivalued functionals and application to partial differential inclusions", Nonlinear Analysis: Theory Methods Appl. , 43A, No.2, 153-158, 2001.
  44. M. I. Krastanov, N. S. Dimitrova, On a stabilizing control design for a methane fermentation process, Mathematics and education in mathematics, 192-199, 1999. 
  45. N. Ribarska, Ts. Tsachev, M. Krastanov, The intrinsic mountain pass principle, Topological methods in nonlinear analysis, 12, No. 2, 309-322, 1998.
  46. M. Krastanov, A necessary condition for small-time local controllability, Journal of Dynamical and Control Systems, 4, 3, 425-456, 1998.
  47. N. Ribarska, Ts. Tsachev, M. Krastanov, A saddle point theorem without a finite dimensional closed loop, Compt. Rend. Bulg Acad. Sc., 1998. 
  48. N. Ribarska, Ts. Tsachev, M. Krastanov, , Speculating about mountains, Serdika Marh. J, 22, 341-358, 1996.
  49. N. Ribarska, Ts. Tsachev, M. Krastanov, Deformation Lemma, Ljusternik-Schnirelmann Theory and Mountain Pass Theorem on C-1-Finsler Manifolds, Serdika Marh. J, 21, 239-266, 1995.
  50. M. Krastanov, Forward Invariant Sets, Homogeneity and Small- Time Local Controllability, Geometry in nonlinear control, Banach Center Publications, 287-300, 1995.
  51. N. Ribarska, Ts. Tsachev, M. Krastanov, , Deformation Lemma on C-1-Finsler Manifolds and Applications, Comp. Rend. of Bulg. Acad. Sci., 47, 1, 13-16, 1994.
  52. M. Krastanov, N. Kirov, Dynamic Interactive System for Analysis of Linear Differential Inclusions, "Modelling techniques for uncertain systems" A.Kurzhanski, V.Veliov (Eds.), Birkhauser, 123 - 130, 1994.
  53. M. Krastanov, V. Veliov, Local controllability of state constrained systems, Acta Univ. Lodz, Folia Math. 5, 103-112, 1992.
  54. N. Ribarska, Ts. Tsachev, M. Krastanov, On the general mountain pass principle of Ghoussoub-Preiss, Mathematica Balkanica, 5, 4, 350-358, 1991.
  55. M. Krastanov, A necessary condition for local controllability, Compt. Rend. Bulg Acad. Sc., 41, 7, 13-15, 1988.
  56. V. Veliov, M. Krastanov, Controllability of discontinuous control systems, IIASA Working paper, WP-88-095, 1988
  57. V. Veliov, M. Krastanov, Controllability of piecewise linear systems, Systems & Control Letters, 7, 335-341, 1986.

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