Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: niezmiennik

Sortuj według:

Ogranicz wyniki do:

Phase portraits of planar control-affine systems

Jakubczyk B., Respondek W.

Control and Cybernetics

2005

Vol. 34, no 3

819-847

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.

Some simple invariants of the position of a surface in [R^4]

Rosicki W.

Bulletin of the Polish Academy of Sciences. Mathematics

1998

Vol. 46, no 4

335-344

In this paper we introduce certain simple invariants of Roseman moves on surfaces in [R^4]. In this way we obtain invariants of the position of a surface in [R^4].