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;
2018 – 2019 Visiting researcher at the Julius Maximilian University of Würzburg, Germany;
2015 – 2018 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.