6533b7dafe1ef96bd126ed8a

RESEARCH PRODUCT

Classification générique de synthèses temps minimales avec cible de codimension un et applications

Bernard BonnardM. PelletierG. Launay

subject

CombinatoricsClass (set theory)Terminal (electronics)lawApplied MathematicsCalculusCodimensionManifold (fluid mechanics)Mathematical PhysicsAnalysisMathematicslaw.invention

description

In this article we consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraints belonging to a manifold of codimension one, for systems of the form v = X + uY, v ϵ R2, R3, |u| ≤ 1 under generic assumptions. The analysis is localized near the terminal manifold and is motivated by the problem of controlling a class of chemical systems.

10.1016/s0294-1449(97)80149-7http://dx.doi.org/10.1016/s0294-1449(97)80149-7