Title :
Generic properties of singular extremals
Author_Institution :
CNRS, St. Martin d´´Heres, France
Abstract :
A C∞ control system in Rn is considered. By definition, a singular trajectory is a singularity of the input-output mapping. A study is made of the genericity of the following two properties: (1) there exists no high-order singular extremal; and (2) all the singular trajectories are normal. It is shown that there exist singular trajectories of order >2 in a case of codimension 1. It is proved that for a generic system all the singular extremals are of order 2 and normal
Keywords :
optimal control; generic system; input-output mapping; optimal control; singular extremals; singular trajectory; Control systems; Equations; Trajectory;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194764
