| 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 |
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
