Das Team des IST

Frau Dr.
Victoria Grushkovskaya

Dieses Bild zeigt  Victoria Grushkovskaya
Telefon0049 711 685-69963
Telefax0049 711 685-67735
Universität Stuttgart
Institut für Systemtheorie und Regelungstechnik
Pfaffenwaldring 9
70569 Stuttgart
WebsiteWeitere Informationen


Mathematical control theory:

  • stabilization of nonlinear systems
  • motion planning for control-affine systems
  • extremum seeking
  • convex optimization
  • synchronization problems

Properties of essentially nonlinear systems:

  • asymptotic behavior of solutions 
  • critical cases of stability
  • Lyapunov functions
  • stabilization of systems with uncontrollable linearization

Dynamical systems with strictly monotone measure:

  • attractors of dynamical systems
  • density functions
  • asymptotic stability for almost all initial values
  1. A. Zuyev, V. Grushkovskaya
    Motion Planning for Control-Affine Systems Satisfying Low-Order Controllability Conditions.
    International Journal of Control, 2017.
    DOI: 10.1080/00207179.2016.1257157

  2. 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

  3. 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

  4. V. Grushkovskaya, C. Ebenbauer
    Multi-Agent Coordination with Lagrangian Measurements .
    IFAC-PapersOnLine, 2016, Vol.49, No. 22, P.115-120.
    DOI: 10.1016/j.ifacol.2016.10.382

  5. 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

  6. 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

  7. 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)
  8. 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)
  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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 )
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  • V. Grushkovskaya, H.-B. Dürr, C. Ebenbauer,  A. Zuyev
    Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations.

  • A. Zuyev, V. Grushkovskaya
    Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls .

  • C. Ebenbauer, S. Michalowsky, V. Grushkovskaya, B. Gharesifard
    ​​​​​​​ Distributed Optimization Over Directed Graphs with the Help of Lie Brackets .

since 2017
Postdoctoral Researcher,
Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany


2015 - 2017
Guest Researcher under the Alexander von Humboldt Fellowship for Postdoctoral Researchers,
Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany

since 2016
Research Fellow,
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Sloviansk, Ukraine

2014 – 2016
Junior Research Fellow,
Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

Guest Researcher under the project “EU – Ukrainian Mathematicians for Life Sciences”
Politecnico di Milano, Milan, Italy

Junior Research Fellow
Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine