Dr. Victoria Grushkovskaya

Institute for Systems Theory and Automatic Control, University of Stuttgart
Pfaffenwaldring 9, 70569 Stuttgart, Germany

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


                                  

                                                                                                     home



MAIN PEER-REVIEWED PUBLICATIONS:

 

  • V. Grushkovskaya, A. Zuyev, C. Ebenbauer
    On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties.

    Accepted to Automatica, arXiv: 1703.02348
     
  • 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.

     accepted to the 17th European Control Conference (ECC 2018), arXiv: 1802.09285
     
  • 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
     
  • 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
     
  • 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

     
  • 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

     
  • 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. 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. 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

     
  • 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
     
  • 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

     
  • 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)

     
  • 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)

     
  • 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

     
  • 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

     
  • 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

     
  • 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

     
  • 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

     
  • 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 )

     
  • 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)

     
  • 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)

     
  • 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)

     
  • 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)