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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 | ≤ 1 and v ∈ 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.

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