MAIN PUBLICATIONS:

1. V. Grushkovskaya, C. Ebenbauer.
   Extremum seeking control  of nonlinear dynamic systems using Lie bracket approximations.
   International Journal of Adaptive Control and Signal Processing, 2020.
   DOI: 10.1002/acs.315
    
2. V. Grushkovskaya.
   Stability analysis of nonholonomic extremum seeking systems via Lie brackets approximations.
   PAMM - Proceedings in Applied Mathematics and Mechanics, 2021, Vol.20, Issue 1, e202000024.  
   DOI: 10.1002/pamm.202000024
    
3.  V. Grushkovskaya, A. Zuyev
   Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics
   IFAC-PapersOnLine (Proc.IFAC 2020 World Congress), 2020, Vol. 53, N.2, p. 5392-5398.
    
4. V. Grushkovskaya, A. Zuyev
   Partial Stabilization of Nonholonomic Systems with Application to Multi-Agent Coordination
   Proc. 2020 European Control Conference, 2020, p. 1665-1670.
    
5. 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
    
6. 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
    
7.  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
    
8. 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
    
9.  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
    
10. 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
     
11. 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
     
12. 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
     
13. 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
     
14. V. Grushkovskaya, A. Zuyev.
    Obstacle Avoidance Problem for Second Degree Nonholonomic Systems.
     Proc. 57th IEEE Conf. on Decision and Control, 2018, pp. 1500-1505.
     
15. 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
     
16. 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
     
17. 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
     
18. 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
     
19. 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
     
20. V. Grushkovskaya
    Gradient-free control algorithms for motion planning with obstacle avoidance.
    Transactions of IAMM, 2017,  Vol.31,  P.13-27. 
    (in Russian)
     
21. 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
     
22. 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
     
23. 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
     
24. 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
25. 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
     
26. 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)
     
27. 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)
     
28. 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
     
29. 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
     
30. 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
     
31. 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
     
32. 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
     
33. 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 )
     
34. 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)
     
35. 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)
     
36. 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)
     
37. 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)