Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications
The authors consider the control system \(v' = X(v)+uY(v)\), \(v\in {\mathbb{R}}^2\) or \({\mathbb{R}}^3\), \(|u|\leq 1\), and a manifold \(N\) of codimension one as target. They study the problem of constructing the optimal closed loop control for the associated minimal time problem localized near the terminal manifold. The analysis is motivated by, and the results are applied to, the problem of controlling a class of chemical systems.
scientific article; zbMATH DE number 1019546