Two generic properties for singular trajectories. (Deux propriétés génériques des trajectoires singulières.) (French) Zbl 0816.58013

Bonnard, Bernard; Kupka, Ivan

C. R. Acad. Sci., Paris, Sér. I 319, No. 5, 509-512 (1994).

The paper shows the genericity with respect to the \(C^ \infty\)-Whitney topology for the smooth control vector fields whose singular trajectories are of minimal order or normal.

Reviewer: D.Motreanu (Iaşi)

MSC:

58E25	Applications of variational problems to control theory
93B29	Differential-geometric methods in systems theory (MSC2000)

Keywords:

control theory; normality; Whitney topology; genericity; singular trajectories