Dr. Victoria Grushkovskaya

(a.k.a. Viktoriia Grushkovska)

Institute of Mathematics, Julius Maximilian University of Würzburg
Emil-Fischer-Straße 40, 97074 Würzburg, Germany

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


                                  

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Mathematical control theory:

  • stabilization of nonlinear systems
  • motion planning for nonholonomic systems
  • convex optimization
  • extremum seeking
  • 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