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Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard; M. Pelletier — 1995

Banach Center Publications

We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form $v ̇ = X + u Y$ , $| u | \leq 1$ and $v \in R^{2}$ or $R^{3}$ , under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.

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

B. Bonnard; G. Launay; M. Pelletier — 1997

Annales de l'I.H.P. Analyse non linéaire

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