- Tytuł:
- Phase portraits of planar control-affine systems
- Autorzy:
-
Jakubczyk, B.
Respondek, W. - Powiązania:
- https://bibliotekanauki.pl/articles/970556.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
system sterowania
niezmiennik
trajektoria krytyczna
bifurkacja
control system
family of control systems
invariants
phase portrait
critical trajectories
feedback equivalence
bifurcation - Opis:
- We study nonlinear control systems in the plane, affine with respect to control. We introduce two sets of feedback equivariants forming a phase portrait PP and a parameterized phase portrait PPP of the system. The phase portrait PP consists of an equilibrium set E, a critical set C (parameterized, for PPP), an optimality index, a canonical foliation and a drift direction. We show that under weak generic assumptions the phase portraits determine, locally, the feedback and orbital feedback equivalence class of a system. The basic role is played by the critical set C and the critical vector field on C. We also study local classification problems for systems and their families.
- Źródło:
-
Control and Cybernetics; 2005, 34, 3; 819-847
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł