Victoria V. Grushkovskaya

Degree: Candidate of Physical and Mathematical Sciences

Position: Senior Research Fellow

E-mail: vi.grushkovskaya@gmail.com, web: http://grushkovskaya.science

Research Fields
Main areas: control theory and nonlinear dyanmics, in particular:
• stabilization and motion planning of essentially nonlinear systems, extremum seeking control;
• stability of non-autonomous systems, asymptotic behavior of systems in critical cases of stability.

2013 PhD (Candidate of Physical and Mathematical Sciences, Theoretical Mechanics), Institute of Applied Mathematics and Mechanics, NAS of Ukraine (IAMM NASU);

2010 Master of Mathematics (with dist.), Donetsk National University, Ukraine;

2009 Bachelor of Mathematics (with dist.), Donetsk National University, Ukraine.

2018-present Senior Research Fellow, IAMM NASU, Sloviansk, Ukraine;

2016-2018 Research Fellow, IAMM NASU, Sloviansk, Ukraine;

2014-2016 Junior Research Fellow, Institute of Mathematics, NAS of Ukraine, Department of Applied Problems of Modern Analysis, Sloviansk, Ukraine;

2013-2014 Junior Research Fellow, IAMM NASU, Donetsk, Ukraine;

2010-2012 PhD Student, IAMMM NASU, Donetsk, Ukraine.

2022 – Prize of the Parliament of Ukraine for Young Scientists;

2022 – Prize of the NAS of Ukraine for Young Scientists;

2017 – Prize of the President of Ukraine for Young Scientists;

2015 – 2017 – Alexander von Humboldt Research Fellowship for Postdoctoral Researchers;

2016 – Honorary Medal of the NAS of Ukraine for Young Scientists “Talent, Inspiration, Work”;

2014-2015 – Fellowship of the NAS of Ukraine for Young Scientists.

Palanikumar, A. Elghary, V.V. Grushkovskaya, S. A. Eisa
Model-free source seeking of exponentially convergent unicycle: Theoretical and robotic experimental results //  IFAC Journal of Systems and Control. – 2026. – Vol. 35. – Art. no. 100378 DOI:10.1016/j.ifacsc.2026.1003782

V.V. Grushkovskaya, S. A. Eisa
Extremum seeking with high-order Lie bracket approximations: Achieving exponential decay rate //  in Proc. 64th IEEE Conf. Decis. Control (CDC). – 2025.– P. 2250–2255 DOI:10.1109/CDC57313.2025.11312854

A. L. Zuyev, V.V. Grushkovskaya
On classical solutions in the stabilization problem for nonholonomic control systems with time-varying feedback laws //  in Proc. 64th IEEE Conf. Decis. Control (CDC).  – 2025. – P. 7507–7512 DOI:10.1109/CDC57313.2025.11312233

A. L. Zuyev, V.V. Grushkovskaya
A model-free extremum seeking controller with application to tracking a nonlinear chemical reaction // in Proc. 11th Int. Conf. Control Decis. Inf. Technol (CoDIT).  – 2025. DOI:10.1109/CoDIT66093.2025.11321555

V.V. Grushkovskaya
Asymptotic behavior of solutions of nonlinear discrete systems in critical cases // Nonlinear Dynamics. – 2025. – Vol. 113. – P. 1227-1244.  DOI:10.1007/s11071-024-10295-6

A. L. Zuyev, V.V. Grushkovskaya
Comparison of Time-Varying Stabilizing Strategies for a Kinematic Car Model: Numerical Simulations // 13th International Workshop on Robot Motion and Control (RoMoCo). – IEEE, 2024. – P. 37-42. DOI:10.1109/RoMoCo60539.2024.10604408

V.V. Grushkovskaya, C. Ebenbauer 
Generalized Saddle Points Seeking Algorithms for Convex Optimization Problems // 2024 32nd Mediterranean Conference on Control and Automation (MED). – IEEE, 2024. – P. 131-136. DOI:10.1109/MED61351.2024.10566130

A. L. Zuyev, V.V. Grushkovskaya
Stabilization of a nonholonomic car model with off-hooked trailers // 2024 32nd Mediterranean Conference on Control and Automation (MED). – IEEE, 2024. – P. 364-369.  DOI:10.1109/MED61351.2024.10566256

V.V. Grushkovskaya, C. Ebenbauer 
Step-Size Rules for Lie Bracket-Based Extremum Seeking With Asymptotic Convergence Guarantees // IEEE Control Systems Letters. – 2024. – V. 8. – P. 1967–1972. DOI:10.1109/LCSYS.2024.3420182

V.V. Grushkovskaya, A. L. Zuyev 
Design of stabilizing feedback controllers for high-order nonholonomic systems // IEEE Control Systems Letters. – 2024. – V. 8. – P. 988-993. DOI:10.1109/LCSYS.2024.3406931

V.V. Grushkovskaya, A. L. Zuyev 
Motion planning and stabilization of nonholonomic systems using gradient flow approximations // Nonlinear Dynamics. – 2023. – V. 111, Is. 23. – P. 21647-21671.  DOI:10.1007/s11071-023-08908-7

V.V. Grushkovskaya, C. Ebenbauer 
Extremum seeking control of nonlinear dynamic systems using Lie bracket approximations // International Journal of Adaptive Control and Signal Processing. – 2021. – V. 35. – Is. 7. – P. 1233-1255.  DOI:10.1002/acs.3152

V.V. Grushkovskaya
Stability analysis of nonholonomic extremum seeking systems via Lie brackets approximations // 
PAMM – Proceedings in Applied Mathematics and Mechanics. – 2021. – Vol. 20, Is. 1. DOI: 10.1002/pamm.202000024

V.V. Grushkovskaya, A. L. Zuyev 
Partial stabilization of nonholonomic systems with application to multi-agent coordination // European Control Conference (ECC). – 2020. – Art. no. 9143613. – P. 1665-1670. DOI:10.23919/ECC51009.2020.9143613

V.V. Grushkovskaya, A. L. Zuyev 
Extremum seeking approach for nonholonomic systems with multiple time scale dynamics // IFAC-PapersOnLine. – 2020. – V. 53, Is. 2. – P. 5392-5398. DOI:10.1016/j.ifacol.2020.12.1529

V.V. Grushkovskaya, A. L. Zuyev 
Partial stability concept in extremum seeking problems // IFAC-PapersOnLine, 2019. – V. 52. – No. 16. – P. 682-687. DOI: 10.1016/j.ifacol.2019.12.041

V.V. Grushkovskaya, A. L. Zuyev 
On exponential stabilization of nonholonomic systems with time-varying drift // IFAC-PapersOnLine. – 2019. – V. 52. – No. 16. – P. 156-161. DOI: 10.1016/j.ifacol.2019.11.771

A. L. Zuyev, V.V. Grushkovskaya
On stabilization of nonlinear systems with drift by time-varying feedback laws //2019 12th International Workshop on Robot Motion and Control (RoMoCo). – IEEE, 2019. – P. 9-14. DOI:10.1109/RoMoCo.2019.8787353

V.V. Grushkovskaya, A. L. Zuyev 
Stabilization of non-admissible curves for a class of nonholonomic systems // 2019 18th European Control Conference (ECC). – IEEE, 2019. – P. 656-661. DOI: 10.23919/ECC.2019.8795948

J. Feiling, V.V. Grushkovskaya, C. Labar, E.Garone, M. Kinnaert, C. Ebenbauer 
Extremum seeking algorithms based on non-commutative maps // IFAC-PapersOnLine. – 2019. – V. 52, Is. 16. – P. 688-693.  DOI:10.1016/j.ifacol.2019.12.042

V.V. Grushkovskaya, A. L. Zuyev 
Stabilization of underactuated nonlinear systems to non‐feasible curves // PAMM. – 2019. – V. 19, Is. 1. – P. e201900160.  DOI:10.1002/pamm.201900160

V.V. Grushkovskaya, A. L. Zuyev , C. Ebenbauer
On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties // Automatica. –  2018. – Vol. 94. – P. 151-160. DOI: 10.1016/j.automatica.2018.04.024

V.V. Grushkovskaya, A. L. Zuyev, C. Ebenbauer
On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties // Automatica. – 2018. –Vol. 94. – P. 151-160. DOI: 10.1016/j.automatica.2018.04.024

V.V. Grushkovskaya,  S. Michalowsky, A. L. Zuyev, M. May,  C. Ebenbauer
A family of extremum seeking laws for a unicycle model with a moving target: theoretical and experimental studies // Proc. 17th European Control Conference (ECC 2018), 2018, P. 1-6. DOI: 10.23919/ECC.2018.8550280

V.V. Grushkovskaya, A. L. Zuyev
Obstacle Avoidance Problem for Second Degree Nonholonomic Systems // Proc. 57th IEEE Conf. on Decision and Control. – 2018. – P. 1500-1505.

A. L. Zuyev, V.V. Grushkovskaya
Motion Planning for Control-Affine Systems Satisfying Low-Order Controllability Conditions // International Journal of Control. – 2017. – Vol. 90. – No. 11. – P. 2517 – 2537. DOI: 10.1080/00207179.2016.1257157

V.V. Grushkovskaya, H.-B. Dürr, C. Ebenbauer, A. L. Zuyev
Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations // IFAC-PapersOnLine (Proc. 20th IFAC World Congress). – 2017. – Vol.50. – No. 1. – P. 5522–5528. DOI: 10.1016/j.ifacol.2017.08.1093

A. L. Zuyev, V.V. Grushkovskaya
Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls // IFAC-PapersOnLine (Proc. 20th IFAC World Congress). – 2017. – Vol. 50. – No. 1. – P. 15343–15348. DOI: 10.1016/j.ifacol.2017.08.1979

C. Ebenbauer, S. Michalowsky,  V.V. Grushkovskaya, B. Gharesifard
Distributed Optimization Over Directed Graphs with the Help of Lie Brackets // IFAC-PapersOnLine (Proc. 20th IFAC World Congress). – 2017. – Vol. 50. – No. 1. – P. 10476–10481. DOI: 10.1016/j.ifacol.2017.08.2456

A. L. Zuyev, V.V. Grushkovskaya
Motion planning problem with obstacle avoidance for step-2 bracket-generating systems // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2017. – Vol. 17, Is. 1. – P. 799-800. DOI: 10.1002/pamm.201710367

V.V. Grushkovskaya
Gradient-free control algorithms for motion planning with obstacle avoidance // Transactions of IAMM. – 2017. – Vol. 31. – P. 13-27. 

V.V. Grushkovskaya, A. L. Zuyev
Two-Point Problem for Systems Satisfying the Controllability Condition with Lie Brackets of the Second Order // Journal of Mathematical Sciences. – 2017. – Vol. 220, No. 3. – P. 301-317 (Translation). DOI: 10.1007/s10958-016-3185-3

V.V. Grushkovskaya
On the influence of resonances on the asymptotic behavior of trajectories of nonlinear systems in critical cases // Nonlinear Dynamics. – 2016. – Vol. 86, No. 1. – P. 587-603. DOI:  10.1007/s11071-016-2909-8

V.V. Grushkovskaya
Asymptotic Decay of Solutions to an Essentially Nonlinear System with Two-Frequency Resonances // Applicable Analysis. – 2016. – Vol. 95, No. 11. – P. 2501-2516.  DOI: 10.1080/00036811.2015.1094798

V.V. Grushkovskaya, C. Ebenbauer
Multi-Agent Coordination with Lagrangian Measurements // IFAC-PapersOnLine (Proc. 6th IFAC Workshop on Distributed Estimation and Control in Networked Systems). – 2016. – Vol. 49, No. 22. – P. 115-120. DOI: 10.1016/j.ifacol.2016.10.382

A. Zuyev, V.V. Grushkovskaya, P. Benner
Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions // Proc. of the European Control Conference’16. – 2016. – P. 575-580. DOI:  10.1109/ECC.2016.7810346

V.V. Grushkovskaya
Asymptotic behavior of solutions of nonlinear systems with multiple imaginary eigenvalues // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2016. – Vol. 16, No. 1. – P. 271-272.   DOI: 10.1002/pamm.201610124

В.В. Грушковская, А.Л. Зуев
О задаче планирования движения нелинейной системы в окрестности заданной кривой // Труды Института прикладной математики и механики. –2016. – Т. 30. – С. 27-42.

В.В. Грушковская
Оценка скорости убывания решений нелинейной системы с совпадающими частотами //  Збірник праць Інституту математики Національної академії наук України. – 2016. – Т. 13, №. 3. – С. 28-44. 

V.V. Grushkovskaya, A. L. Zuyev
Attractors of Nonlinear Dynamical Systems with a Weakly Monotonic Measure // Journal of Mathematical Analysis and Applications. – 2015. – Vol. 422. – P. 559-570. DOI: 10.1016/j.jmaa.2014.08.046

V.V. Grushkovskaya, A. L. Zuyev
Optimal Stabilization Problem with Minimax Cost in a Critical Case // IEEE Transactions on Automatic Control. – 2014. –Vol. 59, N. 9. – P. 2512-2517. DOI: 10.1109/TAC.2014.2304399

В.В. Грушковская, А.Л. Зуев
Приближенное решение краевой задачи для управляемых систем, удовлетворяющих ранговому условию // Збірник праць Інституту математики Національної академії наук України. – 2014. –Т. 11, №. 4. – С. 87-102. https://zbmath.org/?q=an:06533591

V.V. Grushkovskaya, A. L. Zuyev
Asymptotic Behavior of Solutions of a Nonlinear System in the Critical Case of q Pairs of Purely Imaginary Eigenvalues // Nonlinear Analysis: Theory, Methods & Applications. – 2013. – Vol. 80. – P.156-178. DOI: 10.1016/j.na.2012.10.007

V.V. Grushkovskaya, A. L. Zuyev
Optimal Stabilization of Nonlinear Systems by an Output Feedback Law in a Critical Case // Proc. of the 52 nd IEEE Conference on Decision and Control. – 2013. – P. 4607-4612. DOI: 10.1109/CDC.2013.6760610

В.В. Грушковская, А.Л, Зуев
Асимптотические свойства траекторий нелинейной системы в случае резонанса четвертого порядка // Механика твердого тела. – 2013. – Т. 43. – С. 109-123 

В.В. Грушковская, А.Л. Зуев
Асимптотическое поведение решений системы с критическими переменными в случае двух пар чисто мнимых корней // Динамические системы. – 2011. – Т. 1(29), № 2. – С. 205-216. https://zbmath.org/?q=an:06077215

В.В. Грушковская, А.Л. Зуев
Условия устойчивости нелинейных динамических систем с монотонной мерой на фазовом потоке // Труды Института прикладной математики и механики. – 2011. – Vol. 22. – P. 62-70.  https://zbmath.org/?q=an:06022846

В.В. Грушковская, А.Л. Зуев
Стабилизация нелинейной системы с ограничивающим множеством в виде треугольника // Труды Института прикладной математики и механики. – 2009. – Vol. 19. – P. 53-64.  https://zbmath.org/?q=an:06062243

В.В. Грушковська
Безградієнтні алгоритми керування для задач динамічної оптимізації (За матеріалами наукового повідомлення на засіданні Президії НАН України 30 травня 2018 року) // Вісник Національної академії наук України. – 2009. – Т. 8. – С. 66-75.

Research visits:

2019 – present Visiting researcher at the University of Klagenfurt, Austria;
20182019 Visiting researcher at the Julius Maximilian University of Würzburg, Germany;
20152018 Visiting researcher at the University of Stuttgart, Stuttgart, Germany;
2015 Visiting Researcher at the Politecnico di Milano, Milan, Italy;

Teaching Experience

Courses for graduate and undergraduate students:

  • Analysis 1 for Engineers, Analysis 2 for Engineers, Control Theory, Stability Theory, Dynamical Systems 2, Funktionentheorie (University of Klagenfurt, Klagenfurt, Austria);
  • Dynamical Systems and Control Theory, Nonlinear Analysis, Nonlinear Dynamics (University of Würzburg, Germany).

Membership

IEEE Control Systems Society Membership (2024-present); IEEE Women in Engineering Membership (2025 – present); IFAC Technical Committee TC 1.2. Adaptive and Learning Systems (Women Member Adviser since 2023, TC Vice-Chair during 2020-2023); IFAC Technical Committee TC 2.3. Non-Linear Control Systems (TC Member since 2023); Ukrainian ambassador of the International Math. Union, Committee for Women in Mathematics (2016 – 2020); Ukrainian coordinator of the Association of European Women in Mathematics (2015 – 2020).

Review and Editorship

Peer reviewing for Alexander von Humboldt Foundation and DFG (2025 – 2026);
Technical Associate Editor at 22nd IFAC World Congress, Yokohama, Japan, 2023; 18th IFAC Workshop on Control Applications of Optimization, Gif-sur-Yvette, France, 2022;
12th IFAC Symposium on Nonlinear Control Systems, Canberra, Australia, 2022.