an:00023650
Zbl 0744.93033
Bonnard, B.
Feedback equivalence for nonlinear systems and the time optimal control problem
EN
SIAM J. Control Optimization 29, No. 6, 1300-1321 (1991).
00157918
1991
j
93B52 93C10
affine control systems; Pontryagin's Maximum Principle
A relation between the classification of affine control systems under the action of the feedback group and a classification of a set of constrained Hamiltonian vector fields, arising from Pontryagin's Maximum Principle, for the time optimal control problem is given. The vector fields represent the singularities of the input-state mapping. The proposed relation provides a method to compute feedback invariants.
B.Cheshankov (Sofia)