Time Minimal Syntheses in the Abnormal Case using Geometric and Computational Techniques.

This article deals with the optimization of chemical network in frame geometric optimal control and singularity theory. The objective is to classify generic syntheses for analytic systems form q(t) = X(q(t)) + u(t) Y(q(t)), where aim reach minimum time a terminal manifold codimension one. We restrict study three dimensional case considering McKeithan which situations up 3 have investigated. develop symbolic algorithms derive semi-normal forms compute approximations strata singular set obtain classification cases illustrate role theory control, relation abnormal geodesics regularity value function.