Ігнатович Світлана Юріївна

Доктор фізико-математичних наук, доцент

Ігнатович Світлана Юріївна

професор кафедри прикладної математики


Харківський національний університет імені В. Н. Каразіна

Факультет математики і інформатики

Кафедра прикладної математики

Міжнародна конференція "Differential Equations and Control Theory"

Наукові інтереси

  • Математична теорія керування
  • Аналітичні і алгебраїчні методи в теорії керування
  • Лінеаризовність нелінійних керованих систем

Основні дати

Професійна кар'єра:
  • 1990 - 1999: аспірант, асистент Харківського національного університету імені В. Н. Каразіна
  • 1999 - 2018: доцент Харківського національного університету імені В. Н. Каразіна
  • 2018 - дотепер: професор Харківського національного університету імені В. Н. Каразіна
Дисертації:
Кандидатська дисертація "Про асимптотичну поведінку розв'язку задачі швидкодії в околі точки спокою" за спеціальністю "оптимальне керування", 1995 (Харківський державний університет, 1995 рік; науковий керівник проф. Скляр Г. М.);
Докторська дисертація "Метод рядів та вільних алгебр в аналізі нелінійних керованих систем" за спеціальністю "математичний аналіз", 2018 (Фізико-технічний інститут низьких температур ім. Б.І.Вєркіна, 2018 рік; науковий консультант проф. Скляр Г. М.)

Публікації

  1. M. Korzeń, G. Sklyar, S. Ignatovich, J. Woźniak. Computational Aspects of Homogeneous Approximations of Nonlinear Systems, In: Computational Science – ICCS 2024. ICCS 2024. Lecture Notes in Computer Science, vol 14833, 2024, P. 368–382. DOI: 110.1007/978-3-031-63751-3_25
  2. D.M. Andreieva, S.Yu. Ignatovich. Homogeneous approximations of nonlinear control systems with output and weak algebraic equivalence, Visnyk of V.N.Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics and Mechanics, 2024, V. 99, P. 36-50. DOI: 10.26565/2221-5646-2024-99-03, Open access
  3. V.I. Korobov, K.V. Sklyar, S.Y. Ignatovich. Almost feedback linearizable systems of the class C1 and solving the constructive controllability problem, IMA Journal of Mathematical Control and Information, 2024, Vol. 41, Iss. 2, P. 356–377. DOI: 10.1093/imamci/dnae014
  4. D.M. Andreieva, S.Yu. Ignatovich. Homogeneous approximation of one-dimensional series of iterated integrals and time optimality, Journal of Optimization, Differential Equations and their Applications, 2023, V. 31(2), P. 1-23.DOI: 10.15421/142308, Open access
  5. K.V.Sklyar, S.Yu.Ignatovich. Invariants of Linear Control Systems with Analytic Matrices and the Linearizability Problem, Journal of Dynamical and Control Systems, 2023, V. 29(1), P. 111-128. DOI: 10.1007/s10883-021-09574-x
  6. G. Sklyar, P. Barkhayev, S. Ignatovich, V. Rusakov. Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems, Mathematics of Control, Signals, and Systems, 2022, V. 34(4), P. 883-907. DOI: 10.1007/s00498-022-00330-5
  7. D.M. Andreieva, S.Yu. Ignatovich. Homogeneous approximation for minimal realizations of series of iterated integrals, Visnyk of V.N.Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics and Mechanics, 2022, V. 96, P. 23-39. DOI: 10.26565/2221-5646-2022-96-02, Open access
  8. G.M. Sklyar, S.Yu. Ignatovich. Hausdorff moment problem and nonlinear time optimality, ESAIM – Control, Optimisation and Calculus of Variations, V. 28, No. 15, 2022, electronic. DOI: 10.1051/cocv/2022007, Open access
  9. G.M. Sklyar, S.Yu. Ignatovich. Subspaces of maximal singularity for homogeneous control systems, Journal of Dynamical and Control Systems, Journal of Dynamical and Control Systems, 2021, V. 27(3), P. 585-616. DOI: 10.1007/s10883-020-09518-x
  10. G. Sklyar, S. Ignatovich. Construction of a Homogeneous Approximation, Advances in Intelligent Systems and Computing, Vol. 1196 AISC, 2020, P. 611-624. DOI: 10.1007/978-3-030-50936-1_52
  11. K. Sklyar, S. Ignatovich. On Linearizability Conditions for Non-autonomous Control Systems, Advances in Intelligent Systems and Computing, 2020, 1196 AISC, с. 625-637. DOI: 10.1007/978-3-030-50936-1_53
  12. S.Yu. Ignatovich, Yu.V. Sukhinina. Time-optimal control problem with two final points for a kinematic model of an UAV, Visnyk of V.N.Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics and Mechanics, 2019, V. 89, P. 76-92. DOI: 10.26565/2221-5646-2019-89-06, Open access
  13. K. V. Sklyar, G. M. Sklyar, S. Yu. Ignatovich. Linearizability of multi-control systems of the class C1 by additive change of controls, Operator Theory: Advances and Appl., 2018, V. 267, P. 359-370. DOI: 10.1007/978-3-319-72449-2_16
  14. D. N. Andreieva, S. Yu. Ignatovich. On constructing single-input non-autonomous systems of full rank, Visnyk of V.N.Karazin Kharkiv National University, Ser. Mathematics, Applied Mathematics and Mechanics, 2018, V. 88, P. 35-43.
  15. S.Yu. Ignatovich. Approximation of autonomous affine control systems in the sense of time optimality and algebraic approximation, Вісник Харківського університету, сер. “Матем., прикл. матем. і механіка”, 2016, Т. 84, P. 9–21. DOI: 10.26565/2221-5646-2016-84-02, Open access
  16. S.Yu. Ignatovich. Explicit solution of the time-optimal control problem for one nonlinear three-dimensional system, Вісник Харківського університету, сер. “Матем., прикл. матем. і механіка”, 2016, Т. 83, P. 21–46. Open access
  17. K.V. Sklyar, S.Yu. Ignatovich. Linearizability of systems of the class C1 with multi-dimensional control, Syst. Control Lett., 2016, V. 94, P. 92–96. DOI: 10.1016/j.sysconle.2016.05.016
  18. G.M. Sklyar, S.Yu. Ignatovich, S.E. Shugaryov. Time-optimal control problem for a special class of control systems: optimal controls and approximation in the sense of time optimality, J. Optim. Theory Appl, 2015, V. 165, no. 1, P. 62-77. DOI: 10.1007/s10957-014-0607-6, Open access
  19. G.M. Sklyar, S.Yu. Ignatovich. Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems, Dissertationes Mathematicae, 2014, V. 504, P. 1-88.
  20. K.V. Sklyar, S.Yu. Ignatovich, V.O. Skoryk. Conditions of linearizability for multi-control systems of the class C1, Commun. Math. Anal., 2014, V. 17, no. 2. pp. 359-365.
  21. S.Yu. Ignatovich. Normalization of homogeneous approximations of symmetric affine control systems with two controls, J. Dyn. Control Syst., 2011, V. 17, no. 1, 1-48.
  22. V.I. Korobov, G.M. Sklyar, S.Yu. Ignatovich. Solving of the polynomial systems arising in the linear time-optimal control problem. Commun. Math. Anal. 2011, Conference 3, 153-171.
  23. S.Yu. Ignatovich. Realizable growth vectors of affine control systems, J. Dyn. Control Syst., 2009, V. 15, No. 4, P. 557-585.
  24. G.M. Sklyar, S.Yu. Ignatovich. Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem, Internat. J. Control, 2008, V. 81, No.3, P. 369-378.
  25. G.M. Sklyar, S.Yu. Ignatovich. Development on the Markov moment problem approach in the optimal control theory, Methods Funct. Anal. Topology 2007, V. 13, no. 4, pp. 386-400.
  26. G.M. Sklyar, S.Yu. Ignatovich. Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems, C. R. Math. Acad. Sci. Paris, 2007, V. 344, no. 2, pp. 109-114.
  27. С.Ю. Игнатович. О критериях отображаемости на feedforward системы в классе C1, Вісник Харківського університету, сер. “Матем., прикл. матем. і механіка”, 2006, 749, No. 56, C. 65-79.
  28. G.M. Sklyar, S.Yu. Ignatovich, P.Yu. Barkhayev. Algebraic classification of nonlinear steering problems with constraints on control, in: Advances in Mathematics Research, Nova Science Publishers, Inc.: New York, 2005, Vol. 6, pp. 37-96.
  29. G.M. Sklyar, K.V. Sklyar, S.Yu. Ignatovich. On the extension of the Korobov's class of linearizable triangular systems by nonlinear control systems of the class $C\sp 1$, Systems Control Lett. 54, 2005, no. 11, pp. 1097-1108.
  30. С.Ю. Игнатович. О связи аппроксимации нелинейных систем в смысле быстродействия и их алгебраической аппроксимации, Математическая физика, анализ, геометрия, т. 12, 2005, № 2, сс. 158-172.
  31. G.M. Sklyar, S.Yu. Ignatovich. Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra, in: “Unsolved problems in Mathematical Systems and Control Theory”, Princeton Univ. Pr., 2004, P. 117-121.
  32. С.Ю.Игнатович. Восстановление управляемой системы, являющейся реализацией ряда нелинейных степенных моментов, Вісник Харківського університету, сер. “Матем., прикл. матем. і механіка”, 2004, №. 54, С. 41-52.
  33. Г.М. Скляр, С.Ю. Ігнатович, П.Ю. Бархаєв. Про асимптотичну класифікацію нелінійних керованих систем в околі точки спокою, Доповіді НАН України, сер. “Матем., прир. та техн. науки”, 2004, № 12, C. 28-34.
  34. С.Ю. Игнатович, П.Ю. Бархаев. Каноническая форма нелинейной управляемой системы и аппроксимирующие градуировки, Вестник Харьковского национального университета, серия “Математика, прикладная математика и механика”, 2003, № 602, сс. 68–76.
  35. G.M. Sklyar, S.Yu. Ignatovich. Approximation of time-optimal control problems via nonlinear power moment problems, SIAM J. Control Optim. 42, 2003, no. 4, pp. 1325-1346.
  36. G.M. Sklyar, S.Yu. Ignatovich. Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments, Systems Control Lett. 47, 2002, no. 3, pp. 227-235.
  37. Г.М.Скляр, С.Ю.Игнатович. Про класифікацію множин керованості нелінійних систем, Доповіді НАН України, сер. “Матем., прир. та техн. науки”, 2001, №6, С. 24-28.
  38. G.M. Sklyar, S.Yu. Ignatovich. Moment approach to nonlinear time optimality, SIAM J. Control Optim. 38, 2000, no. 6, pp. 1707-1728.
  39. Г.М. Скляр, С.Ю. Игнатович. Ряды нелинейных степенных моментов и быстродействие, Доклады РАН, 1999, Т. 365, № 6, сс. 742-744.
  40. G.M. Sklyar, S.Yu. Ignatovich. Local equivalence of time-optimal control problems and Markov moment min-problem, Z. Angew. Math. Mech., 76, 1996, Suppl. 3, pp. 561-562.
  41. G.M. Sklyar, S.Yu. Ignatovich. A classification of linear time-optimal control problems in a neighborhood of the origin, J. Math. Anal. Applic., 203, 1996, 791-811.
  42. Г.М. Скляр, С.Ю. Ігнатович. Умови локальної еквівалентності лінійних задач швидкодії в околі нуля, Доповіді НАН України, сер. Математика, природознавство і технічні науки, 1995, № 2, сс. 12-14.

Доповіді на конференціях

  1. K.Sklyar, G.Sklyar, S.Ignatovich. Problem of linearizability for non-autonomous control systems, 6th International scientific conference «Differential Equations and Control Theory», October 11-13, 2023 : Book of abstracts, Kharkiv. – 2023. – P. 29.
  2. D. Andreieva, S. Ignatovich. Homogeneous approximation of series of iterated integrals and time optimality, 6th International scientific conference «Differential Equations and Control Theory», October 11-13, 2023 : Book of abstracts, Kharkiv. – 2023. – P. 5.
  3. K.V.Sklyar, S.Yu.Ignatovich, G.M.Sklyar. Linearizability problem and invariants for multi-input non-autonomous control systems, Proceedings of the 31st Mediterranean Conference on Control and Automation (MED 2023), pp. 998–1003, Cyprus, June 26-29, 2023.
  4. D. Andreieva, S. Ignatovich. Homogeneous approximations for control systems with output, 5th International scientific conference «Differential Equations and Control Theory», September 27-29, 2021 : Book of abstracts, Kharkiv. – 2021. – P. 9.
  5. K. Sklyar, S. Ignatovich. Linearizability problem and invariants of linear control systems with analytic matrices , 5th International scientific conference «Differential Equations and Control Theory», September 27-29, 2021 : Book of abstracts, Kharkiv. – 2021. – P. 32.
  6. K. Sklyar, S. Ignatovich. Linearizability of non-autonomous systems, 4th International scientific conference «Differential Equations and Control Theory», September 23-26, 2019 : Book of abstracts, Szczecin. – 2019. – P. 17.
  7. G.M. Sklyar, S.Yu. Ignatovich. Surfaces of maximal singularity for homogeneous control systems, International scientific conference "Geometry, Differential Equations and Analysis" in the memory of A. V. Pogorelov, June 17-21, 2019 : Book of Abstracts, Kharkiv. - 2019. - P. 55.
  8. S. Ignatovich, K. Sklyar. Feedback linearizability in the class C1, 3rd International scientific conference «Differential Equations and Control Theory», September 25-27, 2018 : Book of abstracts, Kharkiv. – 2018. – P. 26.
  9. Yu. Sukhinina, S. Ignatovich. One optimal control problem for an unmanned aerial vehicle, 3rd International scientific conference «Differential Equations and Control Theory», September 25-27, 2018 : Book of abstracts, Kharkiv. – 2018. – P. 43-44.
  10. D. Andreieva, S. Ignatovich. One problem of a control system design in the class C1, 3rd International scientific conference «Differential Equations and Control Theory», September 25-27, 2018 : Book of abstracts, Kharkiv. – 2018. – P. 11-12.
  11. K.V. Sklyar, G.M. Sklyar, S.Yu. Ignatovich. Linearizability of control systems of the class C1, VI International conference “Analysis and Mathematical Physics”, Kharkiv, June 18-22, 2018, P. 31-32.
  12. K.V. Sklyar, S.Yu. Ignatovich, G.M. Sklyar. Verification of feedback linearizability conditions for control systems of the class C1, Proceedings of the 25th Mediterranean Conference on Control and Automation (MED), pp. 163-168, Valetta, Malta, 3-6 July 2017.
  13. G.M. Sklyar, S.Yu. Ignatovich. Free algebras and noncommutative power series in the analysis of nonlinear control systems, 2-nd International Conference "Differential Equations and Control Theory". Book of Abstracts, p. 16, Swinoujscie, Poland, 27-30 September 2017.
  14. S.Yu. Ignatovich. Normalization of homogeneous approximations under feedbacks, Міжнародна конференція "Differential Equations and Control Theory", Харків, 26-28 вересня 2016 р.
  15. S.Yu. Ignatovich. On application of formal power series and free algebras in the homogeneous approximation problem for nonlinear control systems, Workshop “Equivalence, invariants, and Symmetries of Vector Distributions and Related Structures: from Cartan to Tanaka and beyond”, Henri Poincaré Institute, Paris, December 9--13, 2014.
  16. G.M. Sklyar, S.Yu. Ignatovich. Series method in nonlinear time optimality, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) Orlando, FL, USA, December 12-15, 2011.
  17. G.M. Sklyar, S.Yu. Ignatovich, P.Yu. Barkhayev. Algebraic approach to a homogeneous approximation problem, Тезисы докладов Международной конференции „Устойчивость, управление и динамика твердого тела”, Донецк, 2008.
  18. G.M. Sklyar, S.Yu. Ignatovich, P.Yu. Barkhayev. Classification of nonlinear steering problems with different constraints on control, Тезисы докладов Международной конференции „Устойчивость, управление и динамика твердого тела”, Донецк, 2005, сс. 66–67.
  19. G.M. Sklyar, S.Yu. Ignatovich, P.Yu. Barkhayev. Canonical form of nonlinear control system with different constraints, Тезисы докладов Математического симпозиума „Первые Каразинские естественнонаучные студии”, Харьков, 2004, сс. 21–22.
  20. Г.М. Скляр, С.Ю. Игнатович, П.Ю. Бархаев. Развитие метода моментов в нелинейной задаче быстродействия, Тезисы докладов Международной математической конференции „Обратные задачи и нелинейные уравнения”, Харьков, 2002, сс.81–83.
  21. G.M. Sklyar, S.Yu. Ignatovich. Classification of Nonlinear Systems International Seminar on Contemporary Control Theory, Szczecin, 1999.
  22. G.M. Sklyar, S.Yu. Ignatovich. Nonlinear power moments serieses and nonlinear time optimality, Abstracts of the Fourth International Conference "Method of Lyapunov Functions and its Applications", Alushta, 1998, P. 60-61.
  23. S.Yu. Ignatovich. Moment Representation of Nonlinear Systems, Second European Congress of Mathematicians, Budapest, 1996.
  24. S.Yu. Ignatovich. The Conditions of Reaching the Stationary Point for the Systems which is Linear with Respect to Control, Abstracts of the Second International Conference "Method of Lyapunov Functions and its Applications", Alushta, 1995, P. 25-26.
  25. G.M. Sklyar, S.Yu. Ignatovich. Local Equivalence of Time-optimal Control Problems and Markov Moment Min-problems, Book of Abstracts of the Third International Congress on Industrial and Applied Mathematics, Hamburg, 1995, P. 444.
  26. G.M. Sklyar, S.Yu. Ignatovich. Local Equivalence of Time-optimal Control Problems to the Power Markov Min-problem, Abstracts of the Third SIAM Conference on Control and Its Applications, St. Louis, 1995, P. 20.

Контакти

Ignatovich, Svetlana Yu.