Dr. Victoria Grushkovskaya

(a.k.a. Viktoriia Grushkovska)

Institute of Mathematics, Alpen-Adria University of Klagenfurt
Universitätstraße 65-67, 9020 Klagenfurt, Austria

Institute of Applied Mathematics and Mechanics,
National Academy of Sciences of Ukraine


                                  

                                                                                                     home



MAIN PUBLICATIONS (32):

Journal papers:

  1. V. Grushkovskaya, C. Ebenbauer.
    Extremum seeking control  of nonlinear dynamic systems using Lie bracket approximations.
    To appear in International Journal of Adaptive Control and Signal Processing.

     
  2. V. Grushkovskaya, A. Zuyev.
    Stabilization of underactuated nonlinear systems to non-feasible curves.
    PAMM - Proceedings in Applied Mathematics and Mechanics, 2019, Vol.19, Issue 1, e201900160
    .
    DOI: 10.1002/pamm.201900160

     
  3. V. Grushkovskaya, A. 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, pp.151-160.
    DOI: 10.1016/j.automatica.2018.04.024

     
  4. V. Grushkovskaya, A. Zuyev, C. Ebenbauer. 
    On extremum seeking controllers based on the Lie bracket approximation in domains with obstacles.
    PAMM - Proceedings in Applied Mathematics and Mechanics, 2018, Vol. 18, Issue 1, e201800298
    .
    DOI: 10.1002/pamm.201800298
     
  5. A. Zuyev, V. Grushkovskaya
    Motion Planning for Control-Affine Systems Satisfying Low-Order Controllability Conditions
    International Journal of Control, 2017, Vol.90, No.11, pp. 2517-2537.
    DOI: 10.1080/00207179.2016.1257157

     
  6. V. Grushkovskaya, A. Zuyev. 
    Motion planning problem with obstacle avoidance for step-2 bracket-generating systems.
    PAMM - Proceedings in Applied Mathematics and Mechanics, 2017, Vol. 17, Issue 1, P.799-800
    .
    DOI: 10.1002/pamm.201710367
  7. V. Grushkovskaya
    Gradient-free control algorithms for motion planning with obstacle avoidance.
    Transactions of IAMM, 2017,  Vol.31,  P.13-27. 
    (in Russian)

     
  8. 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

     
  9. 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

     
  10. 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

     
  11. V. Grushkovskaya, A. Zuyev 
    On the motion planning problem for a nonlinear system in a neighborhood of a given curve.
    Transactions of IAMM, 2016,  Vol.30,  P.27-42. 
    (in Russian)

     
  12. V. Grushkovskaya
    Decay rate estimate for solutions of a nonlinear system with equal frequencies
    Proceedings of the Institute of Mathematics of NASU, 2016, Vol. 13, No. 3, P. 28-44. 
    (in Russian)

     
  13. V. Grushkovskaya, A. 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

     
  14. V. Grushkovskaya, A. 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

     
  15. V. Grushkovskaya, A. 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

     
  16. V. Grushkovskaya, A. 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

     
  17. V. Grushkovskaya, A. Zuyev
    Approximate Solution of the Boundary Problem for Controllable Systems Satisfying the Rank Condition.
    Proceedings of the Institute of Mathematics of NASU, 2014, Vol. 11, No. 4, P. 87-102.
    (in Russian, https://zbmath.org/?q=an:06533591 )

     
  18. V. Grushkovskaya, A. Zuyev
    Asymptotic Properties of Trajectories of a Nonlinear System in a Case of the Fourth Order Resonance.
    Rigid Body Mechanics, 2013, Vol.43, P.109-123.
    (in Russian)

     
  19. V. Grushkovskaya, A. Zuyev
    Asymptotic Behavior of Solutions of System with Critical Variables in the Case of Two Pairs of Purely Imaginary Roots.
    Dynamical systems, 2011, Vol. 1(29), N.2, P.205-216.
    (in Russian, https://zbmath.org/?q=an:06077215)

     
  20. V. Grushkovskaya, A. Zuyev
    Stability Conditions for Nonlinear Dynamical Systems with a Monotonic Measure on the Phase Flow.
    Transactions of IAMM, 2011,  Vol.22,  P.62-70.
    (in Russian, https://zbmath.org/?q=an:06022846)

     
  21. V. Grushkovskaya, A. Zuyev
    The Stabilization of Nonlinear Systems with a Constraint Set as a Triangular.
    Transactions of IAMM, 2009, Vol.19, P.53-64.
    (in Russian, https://zbmath.org/?q=an:06062243)

Peer-reviewed publications in conference proceedings:
 

  1.  V. Grushkovskaya, A. Zuyev
    Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics
    To appear in IFAC-PapersOnLine (Proc. IFAC 2020 World Congress)

     
  2. V. Grushkovskaya, A. Zuyev
    Partial Stabilization of Nonholonomic Systems with Application to Multi-Agent Coordination
    To appear in Proc. 2020 European Control Conference

     
  3. V. Grushkovskaya, A. Zuyev
    Partial Stability Concept in Extremum Seeking Problems
    IFAC-PapersOnLine (Proc. Joint 8th IFAC Symposium on Mechatronic Systems and 11th IFAC Symposium on Nonlinear Control Systems),  2019, Vol.52, No.16, pp.
    682-687.
    DOI: 10.1016/j.ifacol.2019.12.041

     
  4. V. Grushkovskaya, A. Zuyev
    On exponential stabilization of nonholonomic systems with time-varying drift
    IFAC-PapersOnLine (Proc. Joint 8th IFAC Symposium on Mechatronic Systems and 11th IFAC Symposium on Nonlinear Control Systems),  2019, Vol.52, No.16, pp. 156-161.
    DOI: 10.1016/j.ifacol.2019.11.771

     
  5.  J.Feiling, C. Labar, V. Grushkovskaya, E. Garone, M. Kinnaert, C. Ebenbauer
    Extremum Seeking Algorithms Based on Non-Commutative Maps
    IFAC-PapersOnLine (Proc. Joint 8th IFAC Symposium on Mechatronic Systems and 11th IFAC Symposium on Nonlinear Control Systems),  2019, Vol.52, No.16, pp. 688-693.
    DOI: 10.1016/j.ifacol.2019.12.042

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

     
  7.  A. Zuyev, V. Grushkovskaya
    On stabilization of nonlinear systems with drift by time-varying feedback laws
    Proc. 12th International Workshop on Robot Motion Control, 2019, pp. 9-14.  
    DOI: 10.1109/RoMoCo.2019.8787353

     
  8. V. Grushkovskaya,  S. Michalowsky, A. 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, pp. 1-6.
    DOI: 10.23919/ECC.2018.8550280

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

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

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

     
  12. C. Ebenbauer, S. Michalowsky, 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, 10476–10481.
    DOI: 10.1016/j.ifacol.2017.08.2456

     
  13. 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

     
  14. A. Zuyev, 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

     
  15. V. Grushkovskaya, A. 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